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WO2006061913A1 - Method and device for measuring distance and speed - Google Patents

Method and device for measuring distance and speed Download PDF

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Publication number
WO2006061913A1
WO2006061913A1 PCT/JP2004/018513 JP2004018513W WO2006061913A1 WO 2006061913 A1 WO2006061913 A1 WO 2006061913A1 JP 2004018513 W JP2004018513 W JP 2004018513W WO 2006061913 A1 WO2006061913 A1 WO 2006061913A1
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WIPO (PCT)
Prior art keywords
frequency
distance
beat
speed
frequency component
Prior art date
Legal status (The legal status is an assumption and is not a legal conclusion. Google has not performed a legal analysis and makes no representation as to the accuracy of the status listed.)
Ceased
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PCT/JP2004/018513
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French (fr)
Japanese (ja)
Inventor
Takayuki Fujimoto
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Transtron Inc
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Transtron Inc
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Priority to PCT/JP2004/018513 priority Critical patent/WO2006061913A1/en
Publication of WO2006061913A1 publication Critical patent/WO2006061913A1/en
Anticipated expiration legal-status Critical
Ceased legal-status Critical Current

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    • GPHYSICS
    • G01MEASURING; TESTING
    • G01SRADIO DIRECTION-FINDING; RADIO NAVIGATION; DETERMINING DISTANCE OR VELOCITY BY USE OF RADIO WAVES; LOCATING OR PRESENCE-DETECTING BY USE OF THE REFLECTION OR RERADIATION OF RADIO WAVES; ANALOGOUS ARRANGEMENTS USING OTHER WAVES
    • G01S7/00Details of systems according to groups G01S13/00, G01S15/00, G01S17/00
    • G01S7/02Details of systems according to groups G01S13/00, G01S15/00, G01S17/00 of systems according to group G01S13/00
    • G01S7/35Details of non-pulse systems
    • G01S7/352Receivers
    • G01S7/356Receivers involving particularities of FFT processing
    • GPHYSICS
    • G01MEASURING; TESTING
    • G01SRADIO DIRECTION-FINDING; RADIO NAVIGATION; DETERMINING DISTANCE OR VELOCITY BY USE OF RADIO WAVES; LOCATING OR PRESENCE-DETECTING BY USE OF THE REFLECTION OR RERADIATION OF RADIO WAVES; ANALOGOUS ARRANGEMENTS USING OTHER WAVES
    • G01S13/00Systems using the reflection or reradiation of radio waves, e.g. radar systems; Analogous systems using reflection or reradiation of waves whose nature or wavelength is irrelevant or unspecified
    • G01S13/02Systems using reflection of radio waves, e.g. primary radar systems; Analogous systems
    • G01S13/06Systems determining position data of a target
    • G01S13/08Systems for measuring distance only
    • G01S13/32Systems for measuring distance only using transmission of continuous waves, whether amplitude-, frequency-, or phase-modulated, or unmodulated
    • G01S13/34Systems for measuring distance only using transmission of continuous waves, whether amplitude-, frequency-, or phase-modulated, or unmodulated using transmission of continuous, frequency-modulated waves while heterodyning the received signal, or a signal derived therefrom, with a locally-generated signal related to the contemporaneously transmitted signal
    • GPHYSICS
    • G01MEASURING; TESTING
    • G01SRADIO DIRECTION-FINDING; RADIO NAVIGATION; DETERMINING DISTANCE OR VELOCITY BY USE OF RADIO WAVES; LOCATING OR PRESENCE-DETECTING BY USE OF THE REFLECTION OR RERADIATION OF RADIO WAVES; ANALOGOUS ARRANGEMENTS USING OTHER WAVES
    • G01S7/00Details of systems according to groups G01S13/00, G01S15/00, G01S17/00
    • G01S7/02Details of systems according to groups G01S13/00, G01S15/00, G01S17/00 of systems according to group G01S13/00
    • G01S7/35Details of non-pulse systems
    • G01S7/352Receivers

Definitions

  • the present invention relates to a method and apparatus for measuring a distance and speed from an object using an FMCW radar.
  • FMCW radars have been put into practical use as radars that measure the distance to a target and the relative speed.
  • it is used as an on-vehicle radar, detects a vehicle in front of the vehicle, finds distance, relative speed, direction, etc., and performs vehicle control and alarm output based on these information.
  • This FMCW method is generated when a reflected wave obtained by radiating a radio wave (hereinafter referred to as "launch wave” t), which is an FM modulation of a continuous wave signal, and a launch wave are mixed.
  • the frequency of the beat signal (hereinafter referred to as “beat frequency”) is measured, and two types of beat frequency are determined by the time until the reflected wave returns (proportional to the distance) and the Doppler effect vs. the velocity) This is a method to obtain distance and relative speed.
  • FIG. 1A (a) shows the emitted wave and reflected wave in the FMCW system
  • FIG. 1A (b) shows the waveform of the beat signal at that time.
  • the solid line in Fig. 1A (a) indicates the emission wave, and the broken line indicates the reflected wave.
  • the reflected wave shown in the figure shows a reflected wave when the object is a moving body, and has a waveform that is shifted in the direction of the arrow shown in the figure by the Doppler effect.
  • Fig. LA (b) shows the beat signal obtained by mixing the emitted wave and reflected wave shown in Fig. 1A (a), and has a constant frequency bl (for example, period (1)) and b2 (for example, Period (2)) is provided.
  • the distance to the object is d [m]
  • the speed of light is c [m / s]
  • the slope of the frequency change of the emitted and reflected waves shown in Fig. 1A (a) is k [
  • the beat frequencies bl and b2 shown in Fig. LA (b) can be obtained from the following equations.
  • V (bl-b2) / 2 (4b)
  • Patent Document 1 discloses a device that transmits an FM-CW wave as a launch wave to the front of the vehicle, analyzes the beat signal obtained from the reflected wave, and measures the distance between the vehicle and the vehicle ahead. An apparatus that finds an accurate combination of modulation frequency peaks, even if present, to measure distance and speed between vehicles is disclosed.
  • Patent Document 2 discloses a continuous wave radar, a distance velocity measuring device, and a frequency modulation method that can determine individual distances and relative velocities when there are a plurality of measurement objects. Has been.
  • Patent Document 1 Japanese Patent Application Laid-Open No. 07-020233
  • Patent Document 2 Japanese Patent Laid-Open No. 2001-337160
  • the present invention has been made in view of the above-described problems, and the problem to be solved is to obtain an accurate distance and relative speed without depending on the relationship between the distance to the object and the relative speed. It is to provide a distance and speed measuring method and apparatus that can be obtained
  • a distance and speed measurement method using an FMCW radar includes a waveform pattern generation process for generating a waveform pattern having three or more frequency change patterns, and The waveform pattern generated by the waveform pattern generation processing is frequency-modulated to generate a emission wave, and the transmission processing for transmitting the emission wave, and the reception processing for receiving the reflected wave reflected from the object by the emission wave.
  • each beat frequency obtained by the beat frequency acquisition processing is divided into a first frequency component (D) based on the time delay of the reflected wave and a second frequency component based on the Doppler effect (V Since the distance and relative speed of the object are calculated from the relationship between the absolute value of the sum or difference with) and the like, the accurate distance and The relative speed can be obtained.
  • the gradients of the three frequency change patterns are kl, k2, and k3, and the center.
  • the relational expression of the first beat frequency bl and the second beat frequency b2 and the third beat frequency with the first frequency component and the second frequency component bl I (2 water kl / c) Water d + (2 water fO / c) Water v I
  • the distance and speed measurement method using the FMCW radar includes a waveform pattern including three frequency change patterns of an ascending part, a descending part, and a constant part in the waveform pattern generation process.
  • the first beat frequency is an absolute value of the sum of the first frequency component and the second frequency component
  • the second beat frequency is the first frequency component.
  • the candidate calculation processing for calculating solution candidates for the first frequency component and the second frequency component, and the third beat frequency are Based on the relationship that it is the absolute value of the second frequency component, a solution is identified from the solution candidates calculated by the candidate calculation processing, and the identified first frequency component and second frequency component are used.
  • Distance of the object The specific process of calculating the fine relative speed may be provided.
  • the first beat frequency bl, the second beat frequency b2, and the first frequency are set so that the absolute values of the frequency increase and decrease slopes are the same. Relational expression for component D and second frequency component V
  • the solution candidate is calculated by solving for the third beat frequency b3.
  • the specifying process includes four straight lines passing through two solution candidates that are specified as the solution on the DV plane.
  • the value of the intercept on the D-axis or V-axis may be set as a constraint condition to match the four beat frequencies acquired by the beat frequency acquisition process.
  • the specifying process is performed by using the D-V plane and the intercept value in the D-axis or V-axis of the straight line group that passes through the plurality of solution candidates to be specified.
  • the present invention provides a waveform pattern generation unit that generates a waveform pattern having three or more frequency change patterns, and generates a firing wave by frequency-modulating the waveform pattern generated by the waveform pattern generation unit.
  • a transmitting unit that transmits the emission wave, a reception unit that receives a reflected wave reflected from the object by the emission wave, and a beat frequency corresponding to the pattern is obtained by mixing the emission wave and the reflected wave And a relational power that the beat frequency is an absolute value of the sum or difference of the first frequency component based on the time delay of the reflected wave and the second frequency component based on the Doppler effect.
  • a distance and speed calculation unit that calculates a distance and a relative speed, and a distance and speed measurement device using an FMCW radar.
  • FIG. 1A is a diagram showing a conventional example of a emitted wave, a reflected wave, and a beat signal in the FMCW system.
  • FIG. 1B is a diagram showing functional blocks of an FMCW radar according to an embodiment of the present invention.
  • FIG. 2 Shows the emission wave, reflected wave, and beat signal of the FMCW radar according to this embodiment.
  • FIG. 3 is a flowchart showing processing of a distance and speed calculation unit in the control unit.
  • FIG. 4A is a diagram illustrating an example of a relationship of Expressions (5a) to (5c) when bl> b2.
  • FIG. 4B is a diagram showing an example of the relationship of equations (5a)-(5c) in the case of bl ⁇ b2.
  • FIG. 5 is a diagram showing a relationship between a region targeted in a conventional example and a region targeted in the present invention.
  • FIG. 6A is a diagram showing an example of the relationship of equations (5a) to (5c) when two reflected waves are received.
  • FIG. 6B is a diagram showing an example of the relationship of equations (5a) to (5c) when two reflected waves are received.
  • FIG. 1B shows a functional block diagram of the FMCW radar according to the embodiment of the present invention.
  • the radar shown in FIG. 1B includes a transmission unit 1 that transmits a emission wave to an object and a reflected wave from the object. And at least a control unit 3 for generating a wave pattern pattern of the emission wave and calculating a distance from the beat signal and an object relative to the target, a relative speed, and the like.
  • the sending unit 1 includes at least a DZA conversion unit 4, a VCO (voltage control transmission device) 5, and a sending antenna 6.
  • DZA conversion unit 4 a VZA conversion unit 4
  • VCO voltage control transmission device 5
  • sending antenna 6 a sending antenna 6.
  • triangular wave data generated by the waveform pattern generation unit 10 is D
  • Frequency modulation and analog conversion are performed by the ZA converter 4 and output to VC05.
  • the VC 05 generates a signal force emission wave that has been frequency-modulated by the DZA conversion unit 4, and sends it to the object via the transmission antenna 6.
  • the reception unit 2 includes at least a reception antenna 7, a mixing unit 8, and an AZD conversion unit 9, and a reflected wave from the object is received by the reception antenna 7 and output to the mixing unit 8.
  • the mixing unit 8 mixes the emission wave generated by the VC 05 and the reception wave received by the reception antenna 7 to generate a beat wave and outputs it to the AZD conversion unit 9. Then, the beat signal digitalized by the AZD conversion unit 9 is output to the control unit 3.
  • the control unit 3 includes at least a waveform pattern generation unit 10 and a distance and speed calculation unit 11 including a candidate calculation unit 12 and a specific processing unit 13.
  • the waveform pattern generation unit 10 generates waveform pattern data transmitted by the transmission unit 1 and outputs the waveform pattern data to the DZA conversion unit 4.
  • the candidate calculation unit 12 constituting the distance and speed calculation unit 11 calculates a solution candidate for the distance and relative speed with respect to the object based on the beat signal from the AZD conversion unit 9, and further specifies the specific processing unit 13 To identify the optimal solution (distance and relative speed) from the solution candidates.
  • Fig. 2 (a) shows the emitted wave and reflected wave of the FMCW radar according to the present embodiment.
  • the emitted wave shown in Fig. 2 shows the output waveform of VC05 shown in Fig. 1B.
  • the reflected wave shown in the figure shows the input waveform to the mixing unit 8 shown in FIG. 1B.
  • the emission wave shown in FIG. 2 is an emission wave as shown in FIG. 2 (a), that is, the rising part of period (1), the falling part of period (2), and the period (3).
  • the waveform pattern data formed by the waveform pattern generation unit 10 constituting the control unit 3 is analog-converted through the DZA conversion unit 4 and further obtained through the VC05.
  • the reflected wave shown in the figure is a received wave obtained when the emitted wave sent from the sending unit 1 is reflected by the object and received by the receiving antenna 7.
  • Figure 2 (b) shows the frequency of the beat signal obtained in Fig. 2 (a).
  • the beat signal shown in the figure is obtained by mixing the output waveform (emitted wave) of VC05 shown in Fig. 2 (a) and the reflected wave obtained by reflecting the emitted wave on the object at the mixing unit 8. It is obtained by mixing, and has a beat frequency bl of period (4), a beat frequency b2 of period (5), and a beat signal frequency of period (6).
  • the beat signal shown in the figure is output to the AZD conversion unit 9, digitized, and then output to the control unit 3.
  • the distance and speed calculation unit 11 constituting the control unit 3 calculates the distance and relative speed with respect to the object based on the beat frequencies bl, b2, and b3.
  • FIG. 3 is a flowchart showing the processing of the distance and speed calculation unit 11 in the control unit 3.
  • step S In 301 the control unit 3 performs processing such as FFT on the input beat signal to obtain the beat frequencies bl, b2, and b3 in the period (4) one (6) shown in FIG. 2 (b). .
  • step S 302 the candidate calculation unit 12 calculates the distance and relative speed of the acquired beat frequency force object.
  • the beat frequencies bl, b2, and b3 are the distance to the object d [m], the speed of light c [mZs], and the slopes of the emission and reflected wave modulations shown in Fig. 2 (a). Is k [HzZs] and the relative velocity of the object is v [mZs]
  • Equation (5a) and Equation (5b) are based on the relationship between D and V.
  • V (bl-b2) / 2
  • V (bl + b2) / 2
  • V (-bl-b2) / 2
  • V (bl-b2) / 2 • ⁇ ⁇ (6b)
  • V (bl + b2) / 2 • ⁇ ⁇ (7b)
  • V (bl-b2) / 2 • ⁇ ⁇ (8b)
  • V (-bl-b2) / 2 • ⁇ ⁇ (9b)
  • the candidate calculation unit 12 compares the beat frequencies bl and b2 acquired in step S301. If bl> b2, the equations (6a) and (6b), the equations (7a) and (7b ) To calculate (D, V) solution candidates.
  • beat frequencies bl and b2 are bl ⁇ b2, using (8a) and (8b), (9a) and (9b), (D, V) solution candidates Is calculated.
  • step S303 the identification processing unit 13 performs a process of identifying an optimal (correct) solution with the solution candidate power calculated in step S302.
  • the intersection point closer to the straight line in equation (5c) is adopted.
  • Equation (7a) And (D, V) determined by (7b) is identified as the solution.
  • FIG. 4A is a diagram illustrating an example of the relationship of Expressions (5a)-(5c) when bl> b2.
  • intersection (1) and the intersection (2) are identified as the solution of (D, V) from the intersection (1) and the intersection (2) by the process of step S303 shown in FIG.
  • FIG. 4B is a diagram illustrating an example of a relationship of Expressions (5a) to (5c) in the case of bl ⁇ b2.
  • intersection (3) and the intersection (4) are identified as the solution of (D, V) from the intersection (3) and the intersection (4) by the process of step S303 shown in FIG.
  • FIG. 5 is a diagram showing the relationship between the area targeted in the conventional example and the area targeted in the present invention.
  • Equations (3a) and (3b) the relationship D> I V I was assumed, so the solution was obtained only for region (1) of (D, V) shown in the figure.
  • the intersection (6) is calculated as the solution in the conventional example.
  • the intersection (8) was calculated as the solution in the conventional example.
  • the solution is specified in consideration of the case of D ⁇ I V I.
  • the solution since the solution is calculated for the region (1) and (3) of (D, V) shown in Fig. 5, it depends on the relationship between the distance (D) to the object and the relative velocity (IVI). It is possible to obtain an accurate distance and relative speed.
  • the intersection (5) is calculated as the solution.
  • the intersection (5) is calculated as the solution.
  • IVI the maximum value of IVI
  • the correct distance and relative velocity are not always obtained for the reflected wave of the object force at a distance of 0-10 m in the conventional method, but in the present invention, it is always obtained correctly in that region.
  • the emission wave generated by the waveform pattern generation unit 10 is not limited to the waveform shown by the equations (5 a) to (5c). In other words, if there are three different frequency change patterns, and the slope of the frequency change at this time is kl, k2, and k3, the beat signal is
  • bi (2 * fOZc) i * d + v)
  • bi — (2 * fOZc) i * d + v)
  • V --a2 * d + (cZ (2 * fO)) * b2
  • the solution candidate can be calculated.
  • V --a3 * d + (cZ (2 * fO)) * b3
  • v a3 * d— (cZ (2 * fO)) * b3
  • the solution can be specified if one point is determined according to the relationship.
  • the present embodiment described above is also effective when there are reflected waves from a plurality of objects.
  • the distance and relative speed calculation processing when there are reflected waves from a plurality of objects will be described below based on the flowchart shown in FIG.
  • the frequency change pattern similar to the emission wave shown in FIG. 2 is generated and transmitted by the waveform pattern generation unit 10 as the simplest case of the frequency change pattern, and received by the reception unit 2 (receiving antenna 7 )
  • the reception unit 2 receives the reception unit 2 (receiving antenna 7 )
  • step S301 beat frequencies generated by mixing two reflected waves and emission waves received by the receiving antenna 7 by the mixing unit 8 are b 11 (when the frequency is increased), bl2 (when the frequency is increased), Assuming b21 (when the frequency is decreasing) and b22 (when the frequency is decreasing), the following eight lines are obtained. [0065] That is, the formula (5a) force is obtained.
  • step S302 When the calculation of the solution candidate is completed by the process of step S302, the process proceeds to step S303, and the identification processing unit 13 performs the process of identifying the optimum solution for the solution candidate power calculated in step S302.
  • V of intersection (10)-(17) calculated by the process of step S302 You can select two intersections whose values match each of b32 or b32, and specify these two points (D, V) as the solution.
  • the specific processing unit 13 calculates the errors between the operator b31 and the intersections (10) to (17), and selects the intersection (14) with the smallest error.
  • the intersection (14) covers bl2 and b22, so the other intersection must cover bl l and b21. Therefore, the other intersection to be specified is only the intersection (11) or (12), and the intersection (12) having the smallest error with the b 32 is selected.
  • the force that first determines the intersection point using the b b31 may first determine the intersection point using the b b32 and the remaining b b using the b b31. In order to further improve the accuracy, the solution with the smaller error of these two determination methods may be finally selected.
  • the beat frequency may be degenerated.
  • b21 and b22 are detected as one beat frequency as a result of frequency analysis when the frequencies are close by chance.
  • the reflected wave is too weak to detect all three beat frequencies.
  • beat frequencies that are not possible due to external noise may be detected, but even in that case, it is possible to narrow down candidates by considering the possibility of degeneration and the possibility of noise using the strength of the beat signal. It is.
  • the electric field strength is relatively strong, and the beat signal may be degenerated, so that the combination of distance and relative speed is tentatively obtained.
  • the beat signal with low electric field strength is regarded as noise.

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  • Engineering & Computer Science (AREA)
  • Radar, Positioning & Navigation (AREA)
  • Remote Sensing (AREA)
  • Computer Networks & Wireless Communication (AREA)
  • Physics & Mathematics (AREA)
  • General Physics & Mathematics (AREA)
  • Radar Systems Or Details Thereof (AREA)

Abstract

In order to provide a method and a device for measuring distance and speed capable of determining a distance and a relative speed accurately without relying upon the relation between a distance to and a relative speed with an object, the inventive radar comprises a section (1) for delivering an emission wave to an object, a receiving section (2) generating a beat signal by receiving a reflection wave from the object, and a control section (3) for generating the waveform pattern of the emission wave and calculating a distance to or a relative speed with the object from the beat signal, wherein the control section (3) comprises a waveform pattern generating section (10), and a distance and speed calculating section (11) consisting of a candidate calculating section (12) and a specific processing section (13).

Description

明 細 書  Specification

距離及び速度の測定方法及び装置  Method and apparatus for measuring distance and speed

技術分野  Technical field

[0001] 本発明は、 FMCW方式のレーダを用いて物体との距離及び速度を測定する方式 及び装置に関する。  TECHNICAL FIELD [0001] The present invention relates to a method and apparatus for measuring a distance and speed from an object using an FMCW radar.

背景技術  Background art

[0002] 一般に、対象物までの距離及び相対速度を測定するレーダとして FMCW方式の レーダが実用化されている。例えば、車載用レーダとして使用され、車の前方にある 車両を検出し、距離、相対速度、方位等を求め、これらの情報を基にして車両制御 や警報出力などを行なっている。  [0002] In general, FMCW radars have been put into practical use as radars that measure the distance to a target and the relative speed. For example, it is used as an on-vehicle radar, detects a vehicle in front of the vehicle, finds distance, relative speed, direction, etc., and performs vehicle control and alarm output based on these information.

[0003] この FMCW方式は、連続波信号を FM変調した電波(以下、「発射波」 t 、う)を対 象物に対して放射して得られる反射波と発射波とを混合した時に生じるビート信号の 周波数 (以下、「ビート周波数」という)を測定し、反射波が戻ってくるまでの時間 (距 離に比例)とドップラー効果湘対速度に比例)で決まる 2種類のビート周波数カも距 離と相対速度を求める方式である。  [0003] This FMCW method is generated when a reflected wave obtained by radiating a radio wave (hereinafter referred to as "launch wave" t), which is an FM modulation of a continuous wave signal, and a launch wave are mixed. The frequency of the beat signal (hereinafter referred to as “beat frequency”) is measured, and two types of beat frequency are determined by the time until the reflected wave returns (proportional to the distance) and the Doppler effect vs. the velocity) This is a method to obtain distance and relative speed.

[0004] 図 1 A (a)は、 FMCW方式における発射波及び反射波を示し、図 1 A (b)は、その 時のビート信号の波形を示して 、る。  [0004] FIG. 1A (a) shows the emitted wave and reflected wave in the FMCW system, and FIG. 1A (b) shows the waveform of the beat signal at that time.

図 1A (a)の実線は発射波を示し、破線は反射波を示している。また、同図に示す 反射波は、対象物が移動体である場合の反射波を示しており、ドップラー効果によつ て同図に示す矢印の方向に遷移した波形となっている。  The solid line in Fig. 1A (a) indicates the emission wave, and the broken line indicates the reflected wave. In addition, the reflected wave shown in the figure shows a reflected wave when the object is a moving body, and has a waveform that is shifted in the direction of the arrow shown in the figure by the Doppler effect.

[0005] 図 lA(b)は、図 1A (a)で示した発射波と反射波の混合によって得られるビート信 号を示し、一定周波数 bl (例えば、期間(1) )及び b2 (例えば、期間(2) )の区間を備 えている。  [0005] Fig. LA (b) shows the beat signal obtained by mixing the emitted wave and reflected wave shown in Fig. 1A (a), and has a constant frequency bl (for example, period (1)) and b2 (for example, Period (2)) is provided.

[0006] ここで、対象物までの距離を d [m]、光の速度を c [m/s]、図 1 A (a)に示した発射 波及び反射波の周波数変化の傾きを k[HzZs]とし、ドップラー効果を無視した場合 、図 lA(b)に示したビート周波数 bl、 b2は、次式より求まる。  [0006] Here, the distance to the object is d [m], the speed of light is c [m / s], and the slope of the frequency change of the emitted and reflected waves shown in Fig. 1A (a) is k [ When the Doppler effect is ignored, the beat frequencies bl and b2 shown in Fig. LA (b) can be obtained from the following equations.

[0007] bl =b2=k * A t=k* (2*dZc) さらに、対象物との相対速度を v[mZs]として、ドップラー効果を加味すると、ドッブ ラー効果による周波数の変動は(2* vZc) *fOであることから、ビート周波数 bl、 b2 は、次式より求まる。 [0007] bl = b2 = k * A t = k * (2 * dZc) Furthermore, if the relative velocity with the object is v [mZs] and the Doppler effect is taken into account, the frequency variation due to the Doppler effect is (2 * vZc) * fO, so the beat frequencies bl and b2 are More.

[0008] bl = (2*kZc) *d+(2*fOZc) *v ··· (la) [0008] bl = (2 * kZc) * d + (2 * fOZc) * v (la)

b2 = (2*kZc) *d— (2*fOZc) *v ··· (lb)  b2 = (2 * kZc) * d— (2 * fOZc) * v (lb)

ここで、簡単のために、  Here for the sake of simplicity

D = (2*kZc) *d、 V=(2*fOZc) *v ··· (2)  D = (2 * kZc) * d, V = (2 * fOZc) * v (2)

とすると、式(la)、(lb)は、  Then, the expressions (la) and (lb) are

bl = D+V ··· (3a)  bl = D + V (3a)

b2 = D-V ··· (3b)  b2 = D-V (3b)

となり、式(3a)、(3b)を解くことにより D及び Vが下記の様に求められる。  D and V are obtained as follows by solving equations (3a) and (3b).

[0009] D = (bl+b2)/2 ··· (4a) [0009] D = (bl + b2) / 2 (4a)

V = (bl-b2)/2 ··· (4b)  V = (bl-b2) / 2 (4b)

特許文献 1には、 FM— CW波を発射波として車両前方に送信し、反射波から得るビ ート信号を周波数分析して前方車両との車間距離を測定する装置において、前方車 両が複数存在しても正確な変調周波数のピークの組み合わせを見出して車間距離 及び速度の測定を行なう装置につ!、て開示されて!、る。  Patent Document 1 discloses a device that transmits an FM-CW wave as a launch wave to the front of the vehicle, analyzes the beat signal obtained from the reflected wave, and measures the distance between the vehicle and the vehicle ahead. An apparatus that finds an accurate combination of modulation frequency peaks, even if present, to measure distance and speed between vehicles is disclosed.

[0010] また、特許文献 2には、複数の測定対象が存在する場合に、個々の距離、相対速 度を決定することのできる連続波レーダ、距離速度測定装置、周波数変調方法につ いて開示されている。 [0010] In addition, Patent Document 2 discloses a continuous wave radar, a distance velocity measuring device, and a frequency modulation method that can determine individual distances and relative velocities when there are a plurality of measurement objects. Has been.

特許文献 1:特開平 07 - 020233号公報  Patent Document 1: Japanese Patent Application Laid-Open No. 07-020233

特許文献 2:特開 2001—337160号公報  Patent Document 2: Japanese Patent Laid-Open No. 2001-337160

発明の開示  Disclosure of the invention

[0011] しかし、ビート周波数は、発射波と反射波との差の絶対値として取得されるので、取 得したビート周波数にはその符号についての情報が含まれていない。したがって、そ の符号については考慮されていな力つた。実際に、式(3a)、(3b)においては、 D> I V Iという関係を前提として D及び Vが求められていた。  However, since the beat frequency is acquired as an absolute value of the difference between the emitted wave and the reflected wave, the acquired beat frequency does not include information on the sign. Therefore, the sign was not considered. Actually, in formulas (3a) and (3b), D and V were obtained on the assumption that D> I V I.

[0012] その結果、対象物までの距離及び相対速度が一定の条件 (D> I V I )を満たす 場合以外は、正確な距離及び相対速度を求めることができな 、と 、う問題があった。 例えば、 Dに比べて I V Iが大きい場合、すなわち、近距離に存在する対象物が 大きな相対速度で移動する場合には、正確な距離及び相対速度が求められないと いう問題があった。 [0012] As a result, the distance to the object and the relative speed satisfy certain conditions (D> IVI) In other cases, there was a problem that accurate distance and relative speed could not be obtained. For example, when IVI is larger than D, that is, when an object existing at a short distance moves at a large relative speed, there is a problem that an accurate distance and relative speed cannot be obtained.

[0013] 本発明は、上述した問題に鑑みてなされたものであり、その解決しょうとする課題は 、対象物までの距離と相対速度との関係に依存することなぐ正確な距離及び相対 速度を求めることを可能とする距離と速度の測定方法及び装置を提供することである  [0013] The present invention has been made in view of the above-described problems, and the problem to be solved is to obtain an accurate distance and relative speed without depending on the relationship between the distance to the object and the relative speed. It is to provide a distance and speed measuring method and apparatus that can be obtained

[0014] 上記課題を解決するために、本発明に係る FMCW方式レーダを用いた距離及び 速度の測定方法は、 3つ以上の周波数変化のパターンを備える波形パターンを生成 する波形パターン生成処理と、該波形パターン生成処理によって生成された波形パ ターンを周波数変調して発射波を生成し、該発射波を送信する送信処理と、前記発 射波が対象物に反射した反射波を受信する受信処理と、前記発射波と前記反射波 とを混合して前記パターンに対応するビート周波数を取得するビート周波数取得処 理と、該ビート周波数は前記反射波の時間遅れに基づく第 1の周波数成分とドッブラ 一効果に基づく第 2の周波数成分との和又は差の絶対値であるという関係力 前記 対象物の距離及び相対速度を算出する距離及び速度算出処理と、を備えることを特 徴とする。 [0014] In order to solve the above problems, a distance and speed measurement method using an FMCW radar according to the present invention includes a waveform pattern generation process for generating a waveform pattern having three or more frequency change patterns, and The waveform pattern generated by the waveform pattern generation processing is frequency-modulated to generate a emission wave, and the transmission processing for transmitting the emission wave, and the reception processing for receiving the reflected wave reflected from the object by the emission wave. A beat frequency acquisition process for acquiring the beat frequency corresponding to the pattern by mixing the emitted wave and the reflected wave, and the beat frequency is a first frequency component based on a time delay of the reflected wave and a Doppler A relational force that is an absolute value of the sum or difference with the second frequency component based on one effect, and a distance and speed calculation process for calculating the distance and relative speed of the object. It is a sign.

[0015] 距離及び速度算出処理において、ビート周波数取得処理によって得られる各ビー ト周波数が前記反射波の時間遅れに基づく第 1の周波数成分 (D)とドップラー効果 に基づく第 2の周波数成分 (V)との和又は差の絶対値に等 、と 、う関係から対象 物の距離及び相対速度を算出するので、従来前提条件としていた D> I V Iという 制約条件に拘束されることなく正確な距離及び相対速度を求めることが可能となる。  [0015] In the distance and speed calculation processing, each beat frequency obtained by the beat frequency acquisition processing is divided into a first frequency component (D) based on the time delay of the reflected wave and a second frequency component based on the Doppler effect (V Since the distance and relative speed of the object are calculated from the relationship between the absolute value of the sum or difference with) and the like, the accurate distance and The relative speed can be obtained.

[0016] また、本発明に係る FMCW方式レーダを用いた距離及び速度の測定方法は、前 記距離及び速度算出処理において、前記 3つの周波数変化のパターンの傾きを kl 、 k2、及び k3、中心周波数を fO、光速を cとした場合に、第 1のビート周波数 bl及び 第 2のビート周波数 b2及び第 3のビート周波数と前記第 1の周波数成分及び前記第 2の周波数成分との関係式 bl = I (2水 kl/c)水 d+ (2水 fO/c)水 v I [0016] Further, in the distance and speed measurement method using the FMCW radar according to the present invention, in the distance and speed calculation process, the gradients of the three frequency change patterns are kl, k2, and k3, and the center. When the frequency is fO and the speed of light is c, the relational expression of the first beat frequency bl and the second beat frequency b2 and the third beat frequency with the first frequency component and the second frequency component bl = I (2 water kl / c) Water d + (2 water fO / c) Water v I

b2 = I (2 *k2Zc) * d+ (2 * fOZc) *v I  b2 = I (2 * k2Zc) * d + (2 * fOZc) * v I

b3 = I (2水 k3/c)水 d+ (2水 fO/c)水 v I  b3 = I (2 water k3 / c) Water d + (2 water fO / c) Water v I

から前記対象物の距離及び相対速度と特定する特定処理と、を備えてもょ ヽ。  And a specific process for identifying the distance and relative speed of the object.

[0017] これにより、前記候補算出処理において、従来前提条件としていた D> I V Iとい う制約条件に拘束されることなく対象物の距離 d及び相対速度 Vの解候補を算出する ことができ、さらに、特定処理において正しい対象物の距離 d及び相対速度 Vの解を 特定することが可能となる。 [0017] Thereby, in the candidate calculation process, it is possible to calculate a solution candidate for the distance d and relative speed V of the object without being constrained by the constraint condition D> IVI, which has been a precondition in the past. In the identification process, it is possible to identify the correct object distance d and relative velocity V solution.

[0018] また、本発明に係る FMCW方式レーダを用いた距離及び速度の測定方法は、前 記波形パターン生成処理において、上昇部と下降部と一定部の 3つの周波数変化 のパターンを備える波形パターンを生成し、前記算出処理において、第 1のビート周 波数は前記第 1の周波数成分と前記第 2の周波数成分との和の絶対値であり、第 2 のビート周波数は前記第 1の周波数成分と前記第 2の周波数成分との差の絶対値で あるという関係から、前記第 1の周波数成分と前記第 2の周波数成分の解候補を算 出する候補算出処理と、第 3のビート周波数は前記第 2の周波数成分の絶対値であ るという関係に基づいて、前記候補算出処理によって算出した解候補から解を特定 し、該特定した前記第 1の周波数成分及び前記第 2の周波数成分から前記対象物の 距離及び相対速度を算出する特定処理と、を備えてもよい。 [0018] Further, the distance and speed measurement method using the FMCW radar according to the present invention includes a waveform pattern including three frequency change patterns of an ascending part, a descending part, and a constant part in the waveform pattern generation process. In the calculation process, the first beat frequency is an absolute value of the sum of the first frequency component and the second frequency component, and the second beat frequency is the first frequency component. Is the absolute value of the difference between the first frequency component and the second frequency component, the candidate calculation processing for calculating solution candidates for the first frequency component and the second frequency component, and the third beat frequency are Based on the relationship that it is the absolute value of the second frequency component, a solution is identified from the solution candidates calculated by the candidate calculation processing, and the identified first frequency component and second frequency component are used. Distance of the object The specific process of calculating the fine relative speed may be provided.

[0019] さらに、周波数の上昇と下降の傾きの絶対値を同じにして、前記候補算出処理に おいて、前記第 1のビート周波数 bl及び前記第 2のビート周波数 b2、前記第 1の周 波数成分 D及び前記第 2の周波数成分 Vについての関係式 [0019] Further, in the candidate calculation process, the first beat frequency bl, the second beat frequency b2, and the first frequency are set so that the absolute values of the frequency increase and decrease slopes are the same. Relational expression for component D and second frequency component V

bl = I D+V I  bl = I D + V I

b2= I D-V I  b2 = I D-V I

を解くことによって解候補を算出し、前記特定処理は、前記第 3のビート周波数 b3に ついての関係式  The solution candidate is calculated by solving for the third beat frequency b3.

b3= I V I  b3 = I V I

と前記解候補との距離が最小となる解候補を前記対象物の距離及び相対速度と特 定してちよい。 [0020] また、前記受信処理によって 2つの反射波を受信した場合にぉ 、て、前記特定処 理は、 D— V平面上において前記解と特定する 2つの解候補を通る 4本の直線の D軸 又は V軸における切片の値力 前記ビート周波数取得処理によって取得する 4つの ビート周波数と一致することを制約条件としてもよい。 これにより、前記受信処理で 受信した 2つの反射波力 ビート周波数取得処理によって取得する 4つのビート周波 数に基づいて前記候補算出処理によって得られる解候補から正しい 2つの解を特定 することが可能となる。 And the solution candidate that minimizes the distance between the solution candidate and the solution candidate may be identified as the distance and relative speed of the object. [0020] In addition, when two reflected waves are received by the reception process, the specifying process includes four straight lines passing through two solution candidates that are specified as the solution on the DV plane. The value of the intercept on the D-axis or V-axis may be set as a constraint condition to match the four beat frequencies acquired by the beat frequency acquisition process. As a result, it is possible to identify two correct solutions from the solution candidates obtained by the candidate calculation process based on the four beat frequencies acquired by the two reflected wave force beat frequency acquisition processes received by the reception process. Become.

さらに 2つ以上の反射波があった場合においては、前記特定処理は、 D— V平面上に おいて前記解と特定する複数の解候補を通る直線群の D軸又は V軸における切片 の値が、前記ビート周波数取得処理によって取得する複数のビート周波数をすベて 網羅することを制約条件としてもよい。 また、本発明は、 3つ以上の周波数変化のパ ターンを備える波形パターンを生成する波形パターン生成部と、該波形パターン生 成部によって生成された波形パターンを周波数変調して発射波を生成し、該発射波 を送信する送信部と、前記発射波が対象物に反射した反射波を受信する受信部と、 前記発射波と前記反射波とを混合して前記パターンに対応するビート周波数を取得 するビート周波数取得部と、該ビート周波数は前記反射波の時間遅れに基づく第 1 の周波数成分とドップラー効果に基づく第 2の周波数成分との和又は差の絶対値で あるという関係力 前記対象物の距離及び相対速度を算出する距離及び速度算出 部と、を備えることを特徴とする FMCW方式レーダを用いた距離及び速度の測定装 置であってもよい。  In addition, when there are two or more reflected waves, the specifying process is performed by using the D-V plane and the intercept value in the D-axis or V-axis of the straight line group that passes through the plurality of solution candidates to be specified. However, it may be a constraint that all the beat frequencies acquired by the beat frequency acquisition process are covered. In addition, the present invention provides a waveform pattern generation unit that generates a waveform pattern having three or more frequency change patterns, and generates a firing wave by frequency-modulating the waveform pattern generated by the waveform pattern generation unit. A transmitting unit that transmits the emission wave, a reception unit that receives a reflected wave reflected from the object by the emission wave, and a beat frequency corresponding to the pattern is obtained by mixing the emission wave and the reflected wave And a relational power that the beat frequency is an absolute value of the sum or difference of the first frequency component based on the time delay of the reflected wave and the second frequency component based on the Doppler effect. And a distance and speed calculation unit that calculates a distance and a relative speed, and a distance and speed measurement device using an FMCW radar.

[0021] 以上のように、本発明によると、対象物までの距離と相対速度との関係に依存する ことなく、正確な距離及び相対速度を求めることを可能とする距離と速度の測定方法 及び装置を提供することが可能となる。  [0021] As described above, according to the present invention, a distance and speed measurement method that makes it possible to obtain an accurate distance and relative speed without depending on the relationship between the distance to the object and the relative speed, and An apparatus can be provided.

図面の簡単な説明  Brief Description of Drawings

[0022] [図 1A]FMCW方式における発射波、反射波、及びビート信号の従来例を示す図で ある。  FIG. 1A is a diagram showing a conventional example of a emitted wave, a reflected wave, and a beat signal in the FMCW system.

[図 1B]本発明の実施例に係る FMCW方式レーダの機能ブロックを示す図である。  FIG. 1B is a diagram showing functional blocks of an FMCW radar according to an embodiment of the present invention.

[図 2]本実施例に係る FMCW方式レーダの発射波、反射波、及びビート信号を示す 図である。 [Fig. 2] Shows the emission wave, reflected wave, and beat signal of the FMCW radar according to this embodiment. FIG.

[図 3]制御部における距離及び速度算出部の処理を示すフローチャートである。  FIG. 3 is a flowchart showing processing of a distance and speed calculation unit in the control unit.

[図 4A]bl >b2の場合における式(5a)— (5c)の関係の例を表わす図である。  FIG. 4A is a diagram illustrating an example of a relationship of Expressions (5a) to (5c) when bl> b2.

[図 4B]bl≤b2の場合における式(5a)—(5c)の関係の例を表わす図である。  FIG. 4B is a diagram showing an example of the relationship of equations (5a)-(5c) in the case of bl≤b2.

[図 5]従来例で対象としていた領域と本発明で対象としている領域との関係を示す図 である。  FIG. 5 is a diagram showing a relationship between a region targeted in a conventional example and a region targeted in the present invention.

[図 6A]反射波を 2つ受信した場合の式(5a)— (5c)の関係の例を示す図である。  FIG. 6A is a diagram showing an example of the relationship of equations (5a) to (5c) when two reflected waves are received.

[図 6B]反射波を 2つ受信した場合の式(5a)—(5c)の関係の例を示す図である。 発明を実施するための最良の形態  FIG. 6B is a diagram showing an example of the relationship of equations (5a) to (5c) when two reflected waves are received. BEST MODE FOR CARRYING OUT THE INVENTION

[0023] 以下、本発明の実施形態について図 1Bから図 6Bに基づいて説明する。 Hereinafter, embodiments of the present invention will be described with reference to FIGS. 1B to 6B.

図 1Bは、本発明の実施例に係る FMCW方式レーダの機能ブロック図を示している 同図に示すレーダは、対象物に対して発射波を送出する送出部 1と、対象物からの 反射波を受信してビート信号を生成する受信部 2と、発射波の波形パターン生成や ビート信号カゝら対象物との距離や相対速度等の算出を行なう制御部 3とを少なくとも 備えている。  FIG. 1B shows a functional block diagram of the FMCW radar according to the embodiment of the present invention. The radar shown in FIG. 1B includes a transmission unit 1 that transmits a emission wave to an object and a reflected wave from the object. And at least a control unit 3 for generating a wave pattern pattern of the emission wave and calculating a distance from the beat signal and an object relative to the target, a relative speed, and the like.

[0024] 送出部 1は、 DZA変換部 4と VCO (電圧制御発信装置) 5と送出アンテナ 6とを少 なくとも備えており、波形パターン生成部 10で生成される例えば三角波データは、 D [0024] The sending unit 1 includes at least a DZA conversion unit 4, a VCO (voltage control transmission device) 5, and a sending antenna 6. For example, triangular wave data generated by the waveform pattern generation unit 10 is D

ZA変換部 4によって周波数変調及びアナログ変換されて VC05に出力される。 Frequency modulation and analog conversion are performed by the ZA converter 4 and output to VC05.

[0025] VC05は、 DZA変換部 4によって周波数変調された信号力 発射波を生成し、送 信アンテナ 6を介して対象物に送出することとなる。 The VC 05 generates a signal force emission wave that has been frequency-modulated by the DZA conversion unit 4, and sends it to the object via the transmission antenna 6.

受信部 2は、受信アンテナ 7と混合部 8と AZD変換部 9とを少なくとも備えており、 対象物からの反射波は、受信アンテナ 7によって受信されて混合部 8に出力される。  The reception unit 2 includes at least a reception antenna 7, a mixing unit 8, and an AZD conversion unit 9, and a reflected wave from the object is received by the reception antenna 7 and output to the mixing unit 8.

[0026] 混合部 8は、 VC05で生成された発射波と受信アンテナ 7によって受信した受信波 とを混合してビート波を生成し AZD変換部 9に出力する。そして、 AZD変換部 9〖こ よってデジタルィ匕されたビート信号は制御部 3に出力される。 The mixing unit 8 mixes the emission wave generated by the VC 05 and the reception wave received by the reception antenna 7 to generate a beat wave and outputs it to the AZD conversion unit 9. Then, the beat signal digitalized by the AZD conversion unit 9 is output to the control unit 3.

[0027] 制御部 3は、波形パターン生成部 10と、候補算出部 12及び特定処理部 13で構成 される距離及び速度算出部 11と、を少なくとも備えて ヽる。 波形パターン生成部 10は、送出部 1によって送出する波形パターンのデータを生 成して DZA変換部 4に出力する。また、距離及び速度算出部 11を構成する候補算 出部 12は、 AZD変換部 9からのビート信号に基づいて対象物との距離及び相対速 度の解候補を算出し、さらに特定処理部 13によって、解候補の中から最適な解 (距 離及び相対速度)を特定する。 The control unit 3 includes at least a waveform pattern generation unit 10 and a distance and speed calculation unit 11 including a candidate calculation unit 12 and a specific processing unit 13. The waveform pattern generation unit 10 generates waveform pattern data transmitted by the transmission unit 1 and outputs the waveform pattern data to the DZA conversion unit 4. Further, the candidate calculation unit 12 constituting the distance and speed calculation unit 11 calculates a solution candidate for the distance and relative speed with respect to the object based on the beat signal from the AZD conversion unit 9, and further specifies the specific processing unit 13 To identify the optimal solution (distance and relative speed) from the solution candidates.

[0028] 図 2 (a)は、本実施例に係る FMCW方式レーダの発射波及び反射波を示して 、る 同図に示す発射波は、図 1Bに示した VC05の出力波形を示しており、同図に示す 反射波は、図 1Bに示した混合部 8への入力波形を示している。 [0028] Fig. 2 (a) shows the emitted wave and reflected wave of the FMCW radar according to the present embodiment. The emitted wave shown in Fig. 2 shows the output waveform of VC05 shown in Fig. 1B. The reflected wave shown in the figure shows the input waveform to the mixing unit 8 shown in FIG. 1B.

[0029] また、同図に示す発射波は、図 2 (a)に示すような発射波、すなわち、期間(1)の上 昇部、期間(2)の下降部、及び期間(3)の一定部の 3つのパターンから成り、制御部 3を構成する波形パターン生成部 10が生成した波形パターンのデータを DZA変換 部 4を介してアナログ変換し、さらに VC05を介して得られる。  [0029] In addition, the emission wave shown in FIG. 2 is an emission wave as shown in FIG. 2 (a), that is, the rising part of period (1), the falling part of period (2), and the period (3). The waveform pattern data formed by the waveform pattern generation unit 10 constituting the control unit 3 is analog-converted through the DZA conversion unit 4 and further obtained through the VC05.

[0030] 一方、同図に示す反射波は、送出部 1から送出された発射波が、対象物に反射し て受信アンテナ 7で受信されることによって得られる受信波である。  [0030] On the other hand, the reflected wave shown in the figure is a received wave obtained when the emitted wave sent from the sending unit 1 is reflected by the object and received by the receiving antenna 7.

図 2 (b)は、図 2 (a)における発射波と受信波力 得られるビート信号の周波数を示 している。  Figure 2 (b) shows the frequency of the beat signal obtained in Fig. 2 (a).

[0031] 同図に示すビート信号は、図 2 (a)で示した VC05の出力波形 (発射波)と、当該発 射波が対象物に反射して得られる反射波とを混合部 8で混合することによって得られ 、期間(4)のビート周波数 bl、期間(5)のビート周波数 b2、及び期間(6)のビート信 号周波数を備えている。  [0031] The beat signal shown in the figure is obtained by mixing the output waveform (emitted wave) of VC05 shown in Fig. 2 (a) and the reflected wave obtained by reflecting the emitted wave on the object at the mixing unit 8. It is obtained by mixing, and has a beat frequency bl of period (4), a beat frequency b2 of period (5), and a beat signal frequency of period (6).

[0032] 同図に示すビート信号は、 AZD変換部 9に出力されてデジタルィ匕された後に、制 御部 3に出力される。  [0032] The beat signal shown in the figure is output to the AZD conversion unit 9, digitized, and then output to the control unit 3.

そして、制御部 3を構成する距離及び速度算出部 11において、ビート周波数 bl、 b 2、及び b3に基づいて対象物との距離及び相対速度を算出することとなる。  Then, the distance and speed calculation unit 11 constituting the control unit 3 calculates the distance and relative speed with respect to the object based on the beat frequencies bl, b2, and b3.

[0033] 図 3は、制御部 3における距離及び速度算出部 11の処理を示すフローチャートで ある。 FIG. 3 is a flowchart showing the processing of the distance and speed calculation unit 11 in the control unit 3.

制御部 3に AZD変換部 9からの入力信号 (ビート信号)が入力されると、ステップ S 301において、制御部 3は、入力されたビート信号について FFT等の処理を行なつ て図 2(b)に示した期間(4)一(6)のビート周波数 bl、 b2、及び b3を取得する。 When the input signal (beat signal) from the AZD converter 9 is input to the controller 3, step S In 301, the control unit 3 performs processing such as FFT on the input beat signal to obtain the beat frequencies bl, b2, and b3 in the period (4) one (6) shown in FIG. 2 (b). .

[0034] ビート周波数が取得されると、ステップ S 302に処理を移行し、候補算出部 12によ つて、取得したビート周波数力 対象物の距離及び相対速度を算出する。 When the beat frequency is acquired, the process proceeds to step S 302, and the candidate calculation unit 12 calculates the distance and relative speed of the acquired beat frequency force object.

ここで、ビート周波数 bl、 b2、及び b3は、対象物までの距離を d[m]、光の速度を c [mZs]、図 2 (a)に示した発射波及び反射波の変調の傾きを k[HzZs]、対象物と の相対速度を v[mZs]とすると、  Here, the beat frequencies bl, b2, and b3 are the distance to the object d [m], the speed of light c [mZs], and the slopes of the emission and reflected wave modulations shown in Fig. 2 (a). Is k [HzZs] and the relative velocity of the object is v [mZs]

bl = I (2*kZc) *d+(2*fOZc) *v I  bl = I (2 * kZc) * d + (2 * fOZc) * v I

b2 = I (2*kZc) *d— (2*fOZc) *v I  b2 = I (2 * kZc) * d— (2 * fOZc) * v I

b3 = I (2水 fO/c)水 v I  b3 = I (2 water fO / c) Water v I

となり、式(2)を用いることによって、式(5a)、式(5b)、及び式(5c)が得られる。  Thus, by using the formula (2), the formula (5a), the formula (5b), and the formula (5c) are obtained.

[0035] bl = I D+V I ··· (5a) [0035] bl = I D + V I (5a)

b2 = I D-V I ··· (5b)  b2 = I D-V I (5b)

b3 = I V I ··· (5c)  b3 = I V I (5c)

まず、候補算出部 12は、式 (5a)及び式 (5b)力 D及び Vの解候補を算出する。す なわち、式(5a)及び式(5b)は、 D及び Vの関係から、 D> I V Iの場合は、  First, the candidate calculation unit 12 calculates solution candidates for the forces D and V in the equations (5a) and (5b). In other words, Equation (5a) and Equation (5b) are based on the relationship between D and V.

D = (bl+b2)/2  D = (bl + b2) / 2

V = (bl-b2)/2  V = (bl-b2) / 2

となり、 D<Vの場合は、  And if D <V,

D = (bl-b2)/2  D = (bl-b2) / 2

V = (bl+b2)/2  V = (bl + b2) / 2

となる。さらに、 Dく一 Vの場合は、  It becomes. In addition, in the case of D Kuichi V,

D = (-bl+b2)/2  D = (-bl + b2) / 2

V = (-bl-b2)/2  V = (-bl-b2) / 2

となる。  It becomes.

[0036] 以上の場合において、 Dは対象物までの距離に比例した値であるので負とは成り 得ないこと力も bl及び b2の大小関係力も以下の 2つの場合に解が絞られ、 bl >b2 の場合は、 D = (bl+b2)/2 • · · (6a) [0036] In the above case, D is a value proportional to the distance to the object, so that the force cannot be negative and the magnitude relational force of bl and b2 is limited to the following two cases, and bl> For b2, D = (bl + b2) / 2 • · · (6a)

V = (bl-b2)/2 • · · (6b)  V = (bl-b2) / 2 • · · (6b)

又は、  Or

D = (bl-b2)/2 • · · (7a)  D = (bl-b2) / 2 • · · (7a)

V = (bl+b2)/2 • · · (7b)  V = (bl + b2) / 2 • · · (7b)

となり、 bl≤b2の場合は、  And if bl≤b2,

D = (bl+b2)/2 • · · (8a)  D = (bl + b2) / 2 • · · (8a)

V = (bl-b2)/2 • · · (8b)  V = (bl-b2) / 2 • · · (8b)

又は、  Or

D = (-bl+b2)/2 • · · (9a)  D = (-bl + b2) / 2 • · · (9a)

V = (-bl-b2)/2 • · · (9b)  V = (-bl-b2) / 2 • · · (9b)

となる。  It becomes.

[0037] したがって、候補算出部 12は、ステップ S301で取得したビート周波数 blと b2を比 較し、 bl>b2の場合には、式(6a)及び(6b)、式(7a)及び(7b)を用いて(D, V)の 解の候補を算出する。  [0037] Therefore, the candidate calculation unit 12 compares the beat frequencies bl and b2 acquired in step S301. If bl> b2, the equations (6a) and (6b), the equations (7a) and (7b ) To calculate (D, V) solution candidates.

[0038] また、ビート周波数 blと b2とが bl≤b2の場合には、式(8a)及び(8b)、式(9a)及 び(9b)を用いて (D, V)の解の候補を算出する。  [0038] If the beat frequencies bl and b2 are bl≤b2, using (8a) and (8b), (9a) and (9b), (D, V) solution candidates Is calculated.

解の候補の算出処理が完了すると、処理をステップ S303に移行し、特定処理部 1 3によって、ステップ S302で算出された解の候補力も最適な (正しい)解を特定する 処理を行なう。ただし測定誤差により 3直線は一般に 1点で交わらないので、式(5c) の直線により近い交点を採用する。  When the solution candidate calculation process is completed, the process proceeds to step S303, and the identification processing unit 13 performs a process of identifying an optimal (correct) solution with the solution candidate power calculated in step S302. However, since the three straight lines generally do not intersect at one point due to measurement errors, the intersection point closer to the straight line in equation (5c) is adopted.

[0039] すなわち、 bl>b2の場合は、式(6b)と式(7b)を使って、 [0039] That is, in the case of bl> b2, using equation (6b) and equation (7b),

δ 1 = | (bl-b2)/2-b3 I  δ 1 = | (bl-b2) / 2-b3 I

δ 2 = | (bl+b2)/2-b3 I  δ 2 = | (bl + b2) / 2-b3 I

を計算し、 δ ΐぐ δ 2の場合には、式 (6a)及び (6b)によって求められる(D, V)を解 と特定し、 δ 1> δ 2の場合には、式(7a)及び(7b)によって求められる(D, V)を解 と特定する。  If δ ΐ δ 2, specify (D, V) obtained by Equations (6a) and (6b) as the solution, and if δ 1> δ 2, then Equation (7a) And (D, V) determined by (7b) is identified as the solution.

[0040] 同様にして、 bl≤b2の場合は、 δ 1 = I (bl-b2)/2+b3 I [0040] Similarly, if bl≤b2, δ 1 = I (bl-b2) / 2 + b3 I

δ 2 = | (-bl-b2)/2+b3 I  δ 2 = | (-bl-b2) / 2 + b3 I

を計算し、 δ ΐぐ δ 2の場合には、式 (8a)及び (8b)によって求められる(D, V)を解 と特定し、 δ 1> δ 2の場合には、式(9a)及び(9b)によって求められる(D, V)を解 と特定する。  When δ ΐ δ 2, specify (D, V) obtained by equations (8a) and (8b) as the solution, and if δ 1> δ 2, then equation (9a) And (D, V) determined by (9b) is identified as the solution.

[0041] 以上の処理によって、(D, V)が算出されると、式(2)から対象物の距離 d及び相対 速度 Vを算出して処理が終了する。  When (D, V) is calculated by the above processing, the distance d and relative velocity V of the object are calculated from the equation (2), and the processing is completed.

図 4Aは、 bl >b2の場合における式(5a)— (5c)の関係の例を表わす図である。  FIG. 4A is a diagram illustrating an example of the relationship of Expressions (5a)-(5c) when bl> b2.

[0042] 同図には、式(5a)力 得られる [0042] In the figure, the formula (5a) force is obtained.

bl = D+V、  bl = D + V,

bl = -D-V  bl = -D-V

と、式(5b)力 得られる  And formula (5b) force is obtained.

b2 = D-V,  b2 = D-V,

b2 = -D+V  b2 = -D + V

とが示されており、 D>0であることを考慮すると、候補算出部 12の図 3で示したステ ップ S302の処理によって交点(1)及び交点(2)が(D, V)の解の候補として算出さ れる。  Considering that D> 0, the intersection (1) and the intersection (2) are changed to (D, V) by the processing of step S302 shown in FIG. Calculated as a solution candidate.

[0043] さらに、同図には、式(5c)力 得られる  [0043] Further, in the same figure, the force of formula (5c) is obtained.

b3 = V  b3 = V

b3 = -V  b3 = -V

が示されており、特定処理部 13の図 3で示したステップ S303の処理によって交点(1 )及び交点(2)から交点(1)が(D, V)の解と特定される。  The intersection (1) and the intersection (2) are identified as the solution of (D, V) from the intersection (1) and the intersection (2) by the process of step S303 shown in FIG.

[0044] 図 4Bは、 bl≤b2の場合における式(5a)—(5c)の関係の例を表わす図である。 [0044] FIG. 4B is a diagram illustrating an example of a relationship of Expressions (5a) to (5c) in the case of bl≤b2.

同図ついても、図 4Aと同様に、式(5a)力 得られる  As with Fig. 4A, formula (5a) force can be obtained.

bl = D+V,  bl = D + V,

bl = -D-V  bl = -D-V

と、式(5b)力 得られる  And formula (5b) force is obtained.

b2 = D-V, b2 = -D+V b2 = DV, b2 = -D + V

とが示されており、 D>0であることを考慮すると、候補算出部 12の図 3で示したステ ップ S302の処理によって交点(3)及び交点 (4)が(D, V)の解の候補として算出さ れる。  Considering that D> 0, the intersection (3) and the intersection (4) are changed to (D, V) by the process of step S302 shown in FIG. Calculated as a solution candidate.

[0045] さらに、同図には、式(5c)力 得られる  [0045] Further, in the same figure, the force of formula (5c) is obtained.

b3 = V  b3 = V

b3 = -V  b3 = -V

が示されており、特定処理部 13の図 3で示したステップ S303の処理によって交点(3 )及び交点 (4)から交点(3)が(D, V)の解と特定される。  The intersection (3) and the intersection (4) are identified as the solution of (D, V) from the intersection (3) and the intersection (4) by the process of step S303 shown in FIG.

[0046] 図 5は、従来例で対象としていた領域と本発明で対象としている領域との関係を示 す図である。 FIG. 5 is a diagram showing the relationship between the area targeted in the conventional example and the area targeted in the present invention.

従来は、式(3a)及び式(3b)において、 D> I V Iの関係を前提としていたので、 同図に示す (D, V)の領域(1)のみを対象として解を求めて ヽた。  In the past, in Equations (3a) and (3b), the relationship D> I V I was assumed, so the solution was obtained only for region (1) of (D, V) shown in the figure.

[0047] したがって、例えば、本来の解が交点(5)であった場合でも、従来例では交点(6) を解として算出していた。同様に、本来の解が交点(7)であった場合でも、従来例で は交点(8)を解として算出して 、た。  Therefore, for example, even when the original solution is the intersection (5), the intersection (6) is calculated as the solution in the conventional example. Similarly, even if the original solution was the intersection (7), the intersection (8) was calculated as the solution in the conventional example.

[0048] すなわち、対象物までの距離及び相対速度が D> I V I の条件を満たさない場合 には、正確な距離及び相対速度が求められな 、と 、う問題があった。  That is, when the distance to the object and the relative speed do not satisfy the condition of D> I V I, there is a problem that an accurate distance and relative speed cannot be obtained.

例えば、本来の解が交点(5)又は交点(7)であった場合に、交点(6)又は交点(8) を解として算出すると、本来の距離よりも遠い距離、本来の相対速度より小さい速度と 誤認することとなり、走行車両の前方にある車や障害物の検知を目的とする場合のよ うに、対象物が近距離 (D)かつ相対速度( I V I )が大きいような危険な状況を見逃 すという問題がある。  For example, when the original solution is the intersection (5) or the intersection (7), calculating the intersection (6) or the intersection (8) as the solution is a distance farther than the original distance and smaller than the original relative velocity. A dangerous situation where the object is close to the distance (D) and the relative speed (IVI) is large, such as when detecting a vehicle or an obstacle in front of the traveling vehicle. There is a problem of overlooking.

[0049] 一方、本発明に係る実施例では、図 3で示したように、 D≤ I V I の場合について も考慮して解を特定している。すなわち、図 5に示す (D, V)の領域(1)一(3)を対象 として解を求めているので、対象物までの距離 (D)と相対速度( I V I )との関係に 依存することなぐ正確な距離及び相対速度を求めることが可能となる。  On the other hand, in the embodiment according to the present invention, as shown in FIG. 3, the solution is specified in consideration of the case of D ≦ I V I. In other words, since the solution is calculated for the region (1) and (3) of (D, V) shown in Fig. 5, it depends on the relationship between the distance (D) to the object and the relative velocity (IVI). It is possible to obtain an accurate distance and relative speed.

[0050] 例えば、本来の解が交点(5)であった場合には、交点(5)を解として算出すること が可能となるので、従来のように本来の距離よりも遠い距離、本来の相対速度より小 さ 、速度と誤認することを防止することが可能となる。 [0050] For example, when the original solution is the intersection (5), the intersection (5) is calculated as the solution. As a result, it is possible to prevent a distance that is longer than the original distance, smaller than the original relative speed, and erroneously recognized as a speed as in the past.

[0051] また、従来方式でも周波数変化の傾き kを大きくとれば Dが大きくなり、 D< I V I の状態を起きにくくできるが、完全に Dく I V Iを排除できない上、ビート周波数の 分布範囲が広がり(ビート周波数の最大値は D+ I V Iの最大値であるため Dの最 大値が大きくなると一緒に大きくなる) FFT等の周波数解析処理の負荷 (計算量や計 算に使用するメモリ容量など)が大きくなる欠点がある。本方式では kが小さくても正し い解が求まるのでビート周波数の分布範囲が狭く押さえることができ、周波数解析の 負荷が小さくできる。 [0051] In the conventional method, if the slope k of the frequency change is increased, D increases and D <IVI can hardly occur. However, D and IVI cannot be completely eliminated, and the distribution range of beat frequencies is widened. (Because the maximum value of the beat frequency is the maximum value of D + IVI, it increases with the maximum value of D.) The load of frequency analysis processing such as FFT (the amount of calculation and the memory capacity used for calculation, etc.) There is a drawback that becomes larger. In this method, a correct solution can be obtained even if k is small, so that the beat frequency distribution range can be kept narrow, and the load of frequency analysis can be reduced.

[0052] 車載用を想定して具体的に計算してみる。仮に fOとして一般的な 75GHz、測定距 離範囲を 10m— 200m、相対速度範囲を- 60mZs—" h30mZs (時速 216Km—" l· 108Kmに相当)とする。相対速度の 側は対向車の存在を考えて大きい値とした。  [0052] A specific calculation will be made assuming on-vehicle use. Assuming that fO is generally 75 GHz, the measurement distance range is 10 m—200 m, and the relative velocity range is −60 mZs— “h30 mZs (corresponding to 216 Km—“ l · 108 Km per hour). The relative speed was set to a large value considering the existence of oncoming vehicles.

[0053] 従来方式で正しく計算できるためには、 Dの最小値≥ I V I最大値が必要。  [0053] In order to be able to calculate correctly with the conventional method, the minimum value of D ≥ I V I maximum value is required.

式 (2)から、  From equation (2)

(2*kZc) * (dの最小値)≥ (2 * f0/c) * ( I V Iの最大値)  (2 * kZc) * (Minimum value of d) ≥ (2 * f0 / c) * (Maximum value of I V I)

これ力ゝら、  This power,

k ≥ fO * ( I V Iの最大値) / (dの最小値)  k ≥ fO * (maximum value of I V I) / (minimum value of d)

= 75GHz * (60m/s) / (10m)  = 75GHz * (60m / s) / (10m)

= 450GHz/s  = 450GHz / s

ビート周波数の最大値 bmaxは  Maximum beat frequency bmax is

bmax = Dの最大値 + | V |の最大値  bmax = maximum value of D + | maximum value of V |

= (2*kZc) * (dの最大値)  = (2 * kZc) * (maximum value of d)

+ (2 * f0/c) * ( I V Iの最大値)  + (2 * f0 / c) * (maximum value of I V I)

= (2/c) * (450GHz/s * 200m + 75GHz * 60m/s)  = (2 / c) * (450GHz / s * 200m + 75GHz * 60m / s)

= 630KHz  = 630KHz

となる。(光速 c = 3 * 108mZsとした) It becomes. (Light speed c = 3 * 10 8 mZs)

一方、本発明では kは原理的に 0以上の値であればよい。ただし、 kが 0に近ければ 求まる距離の精度が悪くなるので、そこに注意して kを決めれば良い。 [0054] 今、 Dの最大値が I V Iの最大値と同じ程度になるように設計すれば dと vの精度が ほぼ均衡すると考えられる。そこで Dの最大値 = | V |の最大値として On the other hand, in the present invention, k may be a value of 0 or more in principle. However, if k is close to 0, the accuracy of the obtained distance will deteriorate, so it is sufficient to determine k carefully. [0054] Now, if the design is such that the maximum value of D is about the same as the maximum value of IVI, the accuracy of d and v is considered to be almost balanced. So the maximum value of D = | V |

k=fo*( | V |の最大値)/ (dの最大値) = 22. 5GHz/s  k = fo * (| maximum value of V |) / (maximum value of d) = 22.5 GHz / s

としてみる。すると、ビート周波数の最大値は  See as. Then, the maximum value of the beat frequency is

bmax = (2 * k/c) * (dの最大値)  bmax = (2 * k / c) * (maximum value of d)

+ (2*f0/c) * ( | V |の最大値)  + (2 * f0 / c) * (| V | maximum value)

= (2/c) *(22. 5GHz/s*200m +75GHz*60m/s) = 60KHz  = (2 / c) * (22.5 GHz / s * 200m + 75GHz * 60m / s) = 60KHz

となり、従来方式の 630KHzに比べ 10分の 1以下で済むことが分かる。  Thus, it can be seen that it is less than one-tenth compared to the conventional method of 630 KHz.

[0055] ビート周波数が高!、周波数まで分布して 、ると、その分周波数分析の計算量ゃメ モリ量の増大になる事は明白である。(良く知られているように周波数が 10倍では離 散フーリエ変換で 102= 100倍、高速フーリエ変換でも lOlog 10 = 33倍の計算量増 [0055] If the beat frequency is high and distributed up to the frequency, it is obvious that the amount of calculation of the frequency analysis is increased accordingly. (As is well known, when the frequency is 10 times, 10 2 = 100 times in the discrete Fourier transform, and lOlog 10 = 33 times in the fast Fourier transform.

2  2

加になる。 )  Add. )

し力も従来方式では 0— 10mの距離にある物体力もの反射波に対して正しい距離 と相対速度が求まるとは限らないが、本発明ではその領域でも常に正しく求まる。  In the conventional method, the correct distance and relative velocity are not always obtained for the reflected wave of the object force at a distance of 0-10 m in the conventional method, but in the present invention, it is always obtained correctly in that region.

[0056] 以上の説明において、波形パターン生成部 10によって生成される発射波は、式(5 a)—(5c)で示した波形に限定するものではない。すなわち、 3つの異なる周波数変 化パターンを有していればよぐこの時の周波数変化の傾きを kl、 k2、及び k3とする と、ビート信号は、 In the above description, the emission wave generated by the waveform pattern generation unit 10 is not limited to the waveform shown by the equations (5 a) to (5c). In other words, if there are three different frequency change patterns, and the slope of the frequency change at this time is kl, k2, and k3, the beat signal is

bi = I (2*kiZc) *d+(2*fOZc) *v I  bi = I (2 * kiZc) * d + (2 * fOZc) * v I

= (2*f0/c) I (ki/fO) *d+v I  = (2 * f0 / c) I (ki / fO) * d + v I

と表わすことができ、 ai=kiZfOとおくと、  And ai = kiZfO,

bi = (2*f0/c) I ai*d+v I ··· (10)  bi = (2 * f0 / c) I ai * d + v I (10)

となる。ただし、 i=l、 2、 3。  It becomes. Where i = l, 2, 3

[0057] ここで、 1, a 2, a 3) = (k/fO, -k/fO, 0)とすれば式(5a)、 (5b)、 (5c)とな ることがゎカゝる。 [0057] Here, if 1, a 2, a 3) = (k / fO, -k / fO, 0), it is possible to obtain equations (5a), (5b), and (5c). The

また、式(10)において、 i=l, 2について  In equation (10), for i = l, 2

bi = (2*fOZc) i*d+v) bi = —(2*fOZc) i*d+v) bi = (2 * fOZc) i * d + v) bi = — (2 * fOZc) i * d + v)

を vについて解くと、  Solve for v

v = ai*d+(cZ(2*fO)) *bi  v = ai * d + (cZ (2 * fO)) * bi

v = ai*d— (cZ(2*fO)) *bi  v = ai * d— (cZ (2 * fO)) * bi

となる。これは 2本の平行線が 2組、計 4本の直線力 なるので、  It becomes. This is because two parallel lines are two sets, for a total of four linear forces,

V = —a2*d+(cZ(2*fO)) *b2  V = --a2 * d + (cZ (2 * fO)) * b2

v = —al*d+(cZ(2*fO)) *bl  v = —al * d + (cZ (2 * fO)) * bl

の交点と、  The intersection of

v = —a2*d+(cZ(2*fO)) *b2  v = --a2 * d + (cZ (2 * fO)) * b2

v = al*d— (cZ(2*fO)) *bl  v = al * d— (cZ (2 * fO)) * bl

の交点と、  The intersection of

v = a2*d— (cZ(2*fO)) *b2  v = a2 * d— (cZ (2 * fO)) * b2

v = —al*d+(cZ(2*fO)) *bl  v = —al * d + (cZ (2 * fO)) * bl

の交点と、  The intersection of

v = a2*d— (cZ(2*fO)) *b2  v = a2 * d— (cZ (2 * fO)) * b2

v = al*d— (cZ(2*fO)) *bl  v = al * d— (cZ (2 * fO)) * bl

の交点、 4点が求められる。  4 points are required.

[0058] すなわち、候補算出部 12においてこの 4交点を実際に計算すると That is, when the candidate calculation unit 12 actually calculates these four intersections,

dl= cZ(2*fO(al—a2)) * (bl— b2)  dl = cZ (2 * fO (al—a2)) * (bl—b2)

d2= cZ(2*fO(al— α2)) * (bl+b2)  d2 = cZ (2 * fO (al— α2)) * (bl + b2)

vl= c/(2*f0(al-a2)) * (b2* al— bl* a 2)  vl = c / (2 * f0 (al-a2)) * (b2 * al— bl * a 2)

v2= c/(2*f0(al-a2)) * (b2* αΐ+bl* a 2)  v2 = c / (2 * f0 (al-a2)) * (b2 * αΐ + bl * a 2)

として  As

(dl、 vl)、(d2、 -v2)、(— dl、— vl)、(— d2、 v2)  (dl, vl), (d2, -v2), (— dl, — vl), (— d2, v2)

という解候補を算出することができる。  The solution candidate can be calculated.

[0059] さらに、特定処理部 13において、 d<0の解を除外すると、解は 2つに絞られる。そ して、残った 2点と、下記の 2直線 [0059] Further, when the specific processing unit 13 excludes d <0 solutions, the number of solutions is reduced to two. And the remaining 2 points and the following 2 straight lines

V = —a3*d+(cZ(2*fO)) *b3 v = a3*d— (cZ(2*fO)) *b3 V = --a3 * d + (cZ (2 * fO)) * b3 v = a3 * d— (cZ (2 * fO)) * b3

との関係によって 1点を決定すれば解を特定することができる。  The solution can be specified if one point is determined according to the relationship.

[0060] 例えば、 d>0の解が(d, V) = (dl, vl)、 (d2, i2)であったとすると、 2直線との v 成分の距離を下記の式力 算出し、 [0060] For example, if the solution of d> 0 is (d, V) = (dl, vl), (d2, i2), the distance of the v component from the two straight lines is calculated as

δ 11 = I vl+ a3*dl— (cZ(2*fO)) *b3 I  δ 11 = I vl + a3 * dl— (cZ (2 * fO)) * b3 I

δ 12 = I vl+ a3*dl+(cZ(2*fO)) *b3 I  δ 12 = I vl + a3 * dl + (cZ (2 * fO)) * b3 I

621 = I v2+ a3*d2— (cZ(2*fO)) *b3 I  621 = I v2 + a3 * d2— (cZ (2 * fO)) * b3 I

622 = I v2+ a3*d2+(cZ(2*fO)) *b3 I  622 = I v2 + a3 * d2 + (cZ (2 * fO)) * b3 I

min( δ 11, δ 12)<min( δ 21, δ22)の場合には、(dl, vl)を解と特定し、 min( δ 11, δ 12) >min( δ 21, δ 22)の場合には、 (d2, v2)を解と特定すればよい。 この過程は、 3組の平行直線,計 6本の直線から 3本の直線を選択する事に対応して いる。  If min (δ 11, δ 12) <min (δ 21, δ22), specify (dl, vl) as the solution, and min (δ 11, δ 12)> min (δ 21, δ 22) In this case, (d2, v2) can be specified as the solution. This process corresponds to the selection of 3 lines from 3 parallel lines, a total of 6 lines.

[0061] さらに精度を高めるために、選ばれた 3直線で囲まれる 3角形の重心点の座標を解 としても良い。  [0061] In order to further improve the accuracy, the coordinates of the center of gravity of the triangle surrounded by the selected three straight lines may be solved.

式(10)にお 、て、 i= 1の場合の直線と i= 2の場合の直線と i= 3の場合の直線に 平行線が含まれると交点が定まらなくなるので、互いに異なる傾きに設定する必要が ある。例えば互!、に等 、角度で交差するように ex i (ki)を決定すれば良!、。  In equation (10), if the straight line when i = 1, the straight line when i = 2, and the straight line when i = 3 contain parallel lines, the intersection point will not be determined, so set the slopes different from each other. There is a need to. For example, you can determine ex i (ki) so that they intersect at an angle! ,.

[0062] 以上に説明した本実施例は、複数の対象物からの反射波があった場合にも有効で ある。以下に、複数の対象物からの反射波があった場合の距離及び相対速度の算 出処理について図 3に示したフローチャートに基づいて説明する。  The present embodiment described above is also effective when there are reflected waves from a plurality of objects. The distance and relative speed calculation processing when there are reflected waves from a plurality of objects will be described below based on the flowchart shown in FIG.

[0063] なお、以下では周波数変化パターンの一番単純なケースとして図 2で示した発射波 と同様の周波数変化パターンを波形パターン生成部 10で生成して送出し、受信部 2 (受信アンテナ 7)で反射波を 2つ受信した場合について説明するが、これに限定す る趣旨ではない。  In the following, the frequency change pattern similar to the emission wave shown in FIG. 2 is generated and transmitted by the waveform pattern generation unit 10 as the simplest case of the frequency change pattern, and received by the reception unit 2 (receiving antenna 7 ) Explains the case of receiving two reflected waves, but this is not meant to be limiting.

[0064] ステップ S301において、受信アンテナ 7で受信した 2つの反射波と発射波とを混合 部 8で混合して生成したビート周波数をそれぞれ b 11 (周波数上昇時)、 bl2(周波数 上昇時)、 b21(周波数下降時)、及び b22(周波数下降時)とすると、式 (5a)、 (5b) 力 以下に示す 8本の直線を得る。 [0065] すなわち、式(5a)力 得られる [0064] In step S301, beat frequencies generated by mixing two reflected waves and emission waves received by the receiving antenna 7 by the mixing unit 8 are b 11 (when the frequency is increased), bl2 (when the frequency is increased), Assuming b21 (when the frequency is decreasing) and b22 (when the frequency is decreasing), the following eight lines are obtained. [0065] That is, the formula (5a) force is obtained.

bll = D V .·· (11a)  bll = D V. (11a)

bll = — D- -v ··· (lib)  bll = — D- -v (lib)

bl2 = D V ··· (11c)  bl2 = D V (11c)

bl2 = — D- -v ··· (lid)  bl2 = — D- -v ··· (lid)

と、式(5b)力 得られる  And formula (5b) force is obtained.

b21 = D-V ··· (lie)  b21 = D-V (lie)

b21 = -D+V ··· (llf) b21 = -D + V (llf)

Figure imgf000018_0001
Figure imgf000018_0001

b22 = -D+V ··· (llh)  b22 = -D + V (llh)

の合計 8本の直線である(図 6A及び図 6Bに示す直線(1 la)—(1 lh) )。 ビート周 波数を取得すると、制御部 3は処理をステップ S302に移行し、候補算出部 12によつ て、式(11a)—(llh)力 解候補の算出処理を行なう。すなわち、候補算出部 12に よって、式(11a)—(llh)で表わされる直線の D>0における交点を算出する。本実 施例では、例えば、図 6Aに示すように、交点(10)—(17)の 8つの交点を取得される 。すなわち、 8つの (D, V)の解候補が算出される。  In total (8 straight lines (1 la)-(1 lh) shown in FIGS. 6A and 6B)). When the beat frequency is acquired, the control unit 3 shifts the processing to step S302, and the candidate calculation unit 12 performs calculation processing of the equation (11a)-(llh) force solution candidates. That is, the candidate calculation unit 12 calculates the intersection point of the straight line represented by the equations (11a)-(llh) at D> 0. In this embodiment, for example, as shown in FIG. 6A, eight intersections (10) to (17) are acquired. That is, eight (D, V) solution candidates are calculated.

[0066] ここで、従来は、図 5で示した領域(1)のみを対象としているので、解候補として交 点(10)、 (11)、 (14)、及び(15)の 4点のみしか得られないのに対して、本発明の 実施例においては、図 5で示した領域(1)一(3)を対象としているので、交点(10)— (17)の 8点を解候補として取得することができ、最適な (正しい)解候補を特定するこ とが可能となる。 [0066] Here, conventionally, only the region (1) shown in Fig. 5 is targeted, so only the four points of the intersections (10), (11), (14), and (15) are the candidate solutions. On the other hand, in the embodiment of the present invention, since the region (1) and (3) shown in FIG. 5 are targeted, eight points of intersections (10) to (17) are candidate solutions. It is possible to identify the optimal (correct) solution candidate.

[0067] ステップ S302の処理によって解候補の算出が完了すると、処理をステップ S303に 移行し、特定処理部 13によって、ステップ S302で算出された解の候補力も最適な解 を特定する処理を行なう。  [0067] When the calculation of the solution candidate is completed by the process of step S302, the process proceeds to step S303, and the identification processing unit 13 performs the process of identifying the optimum solution for the solution candidate power calculated in step S302.

[0068] 例えば、ステップ S301にお 、て取得した無変調部 (周波数一定部)のビート周波 数を b31、 b32とすると、ステップ S302の処理によって算出した交点(10)—(17)の Vの値が士 b31又は士 b32にそれぞれ一致する交点を 2つ選び出し、この 2点(D, V )を解と特定すればよい。 [0069] 実際には誤差があり完全に一致しないので、例えば、士 b31と交点(10)—(17)の 距離 (誤差)が最小である交点、士 b32と交点(10)—(17)の距離 (誤差)が最小とな る交点をそれぞれ選び出し、この 2点(D, V)を解と特定すればよい。 [0068] For example, assuming that the beat frequency of the non-modulation part (constant frequency part) acquired in step S301 is b31 and b32, V of intersection (10)-(17) calculated by the process of step S302 You can select two intersections whose values match each of b32 or b32, and specify these two points (D, V) as the solution. [0069] Actually, there is an error and it does not completely match. For example, the intersection where the distance (error) between the b b31 and the intersection (10)-(17) is the smallest, the b b and the intersection (10)-(17) It is only necessary to select the intersections that minimize the distance (error) and identify these two points (D, V) as the solution.

[0070] ここで、距離が最小となる交点を解と特定する場合には、選び出した 2点をそれぞ れ通る計 4本の直線の D軸若しくは V軸における切片の絶対値が bl l、 bl2、 b21、 b 22の 4つを網羅しなければならないという制約条件を、特定処理部 13における解の 特定処理の条件とすることによって、間違った組み合わせを選び出すことを防止する ことができる。  [0070] Here, when specifying the intersection with the smallest distance as the solution, the absolute value of the intercept on the D-axis or V-axis of a total of four straight lines passing through the two selected points is bl l, By selecting the constraint condition that bl4, b21, and b22 must be covered as the condition for the specific processing of the solution in the specific processing unit 13, it is possible to prevent selecting an incorrect combination.

[0071] 例えば、図 6Aにおいて、特定処理部 13は、士 b31と交点(10)—(17)の誤差をそ れぞれ算出し、誤差が最小である交点(14)を選び出す。この時、交点(14)は、 bl2 と b22を網羅しているので、もう一つの交点は、 bl lと b21を網羅しなければならない 。 したがって、もう一つの特定すべき交点は、交点(11)又は(12)のみとなり、士 b3 2との誤差が最小である交点(12)が選び出される。  [0071] For example, in FIG. 6A, the specific processing unit 13 calculates the errors between the operator b31 and the intersections (10) to (17), and selects the intersection (14) with the smallest error. At this time, the intersection (14) covers bl2 and b22, so the other intersection must cover bl l and b21. Therefore, the other intersection to be specified is only the intersection (11) or (12), and the intersection (12) having the smallest error with the b 32 is selected.

[0072] この例では最初に士 b31を使って交点を決定した力 最初に士 b32を使って交点 を決定して、残りを士 b31を使って決定しても良い。さらにより精度を上げるために、こ の 2通りの決定方法のうち誤差が小さいほうの解を最終的に選んでも良い。  [0072] In this example, the force that first determines the intersection point using the b b31 may first determine the intersection point using the b b32 and the remaining b b using the b b31. In order to further improve the accuracy, the solution with the smaller error of these two determination methods may be finally selected.

[0073] 実際の運用では、ビート周波数が縮退していることがありうる。例えば、 b21と b22が 偶然周波数が近ぐ周波数分析の結果一つのビート周波数として検出される場合等 である。また反射波が微弱すぎて 3つのビート周波数がすべて検出できな 、ケースも ある。また外来ノイズ等で本来ありえないビート周波数が検出される場合もあるが、そ の場合でもビート信号の強度を使って縮退の可能性やノイズの可能性を考慮する等 して候補を絞ることが可能である。具体的には例えば相対的に電界強度の強 、ビー ト信号は縮退の可能性ありとして 2つに分けて距離と相対速度の組み合わせを仮に 求める、電界強度の弱いビート信号についてはノイズと見なして除去した上で距離と 相対速度の組み合わせを仮に求める等、いくつかのケースを網羅的に試行し、距離 と相対速度の組み合わせ決定時の誤差が最も小さ力つたケースを採用すれば良い。 (3つのビート信号が全て捕捉できていないケースも、その物体に関して検出されたビ ート信号はノイズであると見なせる)。  [0073] In actual operation, the beat frequency may be degenerated. For example, b21 and b22 are detected as one beat frequency as a result of frequency analysis when the frequencies are close by chance. In some cases, the reflected wave is too weak to detect all three beat frequencies. Also, beat frequencies that are not possible due to external noise may be detected, but even in that case, it is possible to narrow down candidates by considering the possibility of degeneration and the possibility of noise using the strength of the beat signal. It is. Specifically, for example, the electric field strength is relatively strong, and the beat signal may be degenerated, so that the combination of distance and relative speed is tentatively obtained. The beat signal with low electric field strength is regarded as noise. It is only necessary to exhaustively try some cases, such as tentatively finding the combination of distance and relative speed after removal, and adopt the case with the smallest error when determining the combination of distance and relative speed. (In the case where all three beat signals are not captured, the beat signal detected for the object can be regarded as noise).

Claims

請求の範囲 The scope of the claims [1] 3つ以上の周波数変化のパターンを備える波形パターンを生成する波形パターン 生成処理と、  [1] Waveform pattern generation processing for generating a waveform pattern comprising three or more frequency change patterns; 該波形パターン生成処理によって生成された波形パターンを周波数変調して発射 波を生成し、該発射波を送信する送信処理と、  A transmission process for generating a emission wave by frequency-modulating the waveform pattern generated by the waveform pattern generation process, and transmitting the emission wave; 前記発射波が対象物に反射した反射波を受信する受信処理と、  A reception process for receiving the reflected wave reflected by the object from the emission wave; 前記発射波と前記反射波とを混合して前記パターンに対応するビート周波数を取 得するビート周波数取得処理と、  A beat frequency acquisition process for acquiring the beat frequency corresponding to the pattern by mixing the emitted wave and the reflected wave; 該ビート周波数は前記反射波の時間差に基づく第 1の周波数成分とドップラー効 果に基づく第 2の周波数成分との和又は差の絶対値であるという関係力 前記対象 物の距離及び相対速度を算出する距離及び速度算出処理と、  The beat frequency is a relational power that the absolute value of the sum or difference between the first frequency component based on the time difference of the reflected wave and the second frequency component based on the Doppler effect is calculated. Distance and speed calculation processing, を備えることを特徴とする FMCW方式レーダを用いた距離及び速度の測定方法。  A distance and speed measurement method using an FMCW radar. [2] 前記距離及び速度算出処理は、 [2] The distance and speed calculation process includes: 前記 3つの周波数変化のパターンの傾きを kl、 k2、及び k3、中心周波数を fO、光 速を cとした場合に、第 1のビート周波数 bl及び第 2のビート周波数 b2及び第 3のビ ート周波数 b3と、前記第 1の周波数成分及び前記第 2の周波数成分との関係式 bl = I (2水 kl/c)水 d+ (2水 fO/c)水 V I  When the slopes of the three frequency change patterns are kl, k2, and k3, the center frequency is fO, and the speed of light is c, the first beat frequency bl, the second beat frequency b2, and the third beat Relation between the frequency b3 and the first frequency component and the second frequency component bl = I (2 water kl / c) water d + (2 water fO / c) water VI b2 = I (2 *k2Zc) * d+ (2 * fOZc) *v I  b2 = I (2 * k2Zc) * d + (2 * fOZc) * v I b3 = I (2水 k3/c)水 d+ (2水 fO/c)水 v I  b3 = I (2 water k3 / c) Water d + (2 water fO / c) Water v I を解くことによって前記対象物の距離 d及び相対速度 vを特定する特定処理  Specific processing to identify the distance d and relative velocity v of the object by solving を備えることを特徴とする請求項 1に記載の FMCW方式レーダを用いた距離及び 速度の測定方法。  The distance and speed measurement method using the FMCW radar according to claim 1, comprising: [3] 前記波形パターン生成処理は、 [3] The waveform pattern generation process includes: 上昇部と下降部と一定部の 3つの周波数変化のパターンを備える波形パターンを 生成し、  Generate a waveform pattern with three frequency change patterns: ascending, descending, and constant, 前記算出処理は、  The calculation process is as follows: 第 1のビート周波数は前記第 1の周波数成分と前記第 2の周波数成分との和の絶 対値であり、第 2のビート周波数は前記第 1の周波数成分と前記第 2の周波数成分と の差の絶対値であり、第 3のビート周波数は前記第 2の周波数成分の絶対値であると いう関係に基づいて、前記第 1の周波数成分及び前記第 2の周波数成分を特定し、 前記対象物の距離及び相対速度を算出する特定処理を備えることを特徴とする請求 項 1に記載の FMCW方式レーダを用いた距離及び速度の測定方法。 The first beat frequency is an absolute value of the sum of the first frequency component and the second frequency component, and the second beat frequency is the first frequency component and the second frequency component. The first frequency component and the second frequency component are identified based on the relationship that the third beat frequency is the absolute value of the second frequency component, 2. The distance and speed measuring method using the FMCW radar according to claim 1, further comprising a specific process for calculating a distance and a relative speed of the object. [4] 前記候補算出処理は、前記第 1のビート周波数 bl及び前記第 2のビート周波数 b2 、前記第 1の周波数成分 D及び前記第 2の周波数成分 Vについての関係式 [4] The candidate calculation process includes a relational expression for the first beat frequency bl, the second beat frequency b2, the first frequency component D, and the second frequency component V. bl = I D+V I  bl = I D + V I b2= I D-V I  b2 = I D-V I を解くことによって解候補を算出し、  Solution candidate is calculated by solving 前記特定処理は、前記第 3のビート周波数 b3についての関係式  The specifying process is a relational expression for the third beat frequency b3. b3= I V I  b3 = I V I と前記解候補との距離が最小となる解候補を前記対象物の距離及び相対速度と特 定することを特徴とする請求項 3に記載の FMCW方式レーダを用いた距離及び速 度の測定方法。  4. The distance and speed measurement method using the FMCW radar according to claim 3, wherein a solution candidate having a minimum distance between the target and the solution candidate is identified as a distance and a relative speed of the target object. . [5] 前記受信処理によって 2つの反射波を受信した場合にぉ 、て、  [5] When two reflected waves are received by the reception process, 前記特定処理は、 D - V平面上にぉ 、て前記解と特定する複数の解候補を通る直 線群の D軸又は V軸における切片の絶対値が、前記ビート周波数取得処理によって 取得するビート周波数を網羅することを制約条件とすることを特徴とする請求項 2に 記載の FMCW方式レーダを用いた距離及び速度の測定方法。  In the identification process, the absolute value of the intercept on the D axis or the V axis of the straight line group that passes through the plurality of solution candidates to be identified on the DV plane is acquired by the beat frequency acquisition process. 3. The method for measuring distance and speed using the FMCW radar according to claim 2, wherein the frequency coverage is a constraint. [6] 3つ以上の周波数変化のパターンを備える波形パターンを生成する波形パターン 生成部と、  [6] A waveform pattern generation unit that generates a waveform pattern including three or more frequency change patterns; 該波形パターン生成部によって生成された波形パターンを周波数変調して発射波 を生成し、該発射波を送信する送信部と、  A transmission unit for generating a emission wave by frequency-modulating the waveform pattern generated by the waveform pattern generation unit, and transmitting the emission wave; 前記発射波が対象物に反射した反射波を受信する受信部と、  A receiving unit for receiving a reflected wave reflected by an object from the emission wave; 前記発射波と前記反射波とを混合して前記パターンに対応するビート周波数を取 得するビート周波数取得部と、  A beat frequency acquisition unit that acquires the beat frequency corresponding to the pattern by mixing the emitted wave and the reflected wave; 該ビート周波数は前記反射波の時間差に基づく第 1の周波数成分とドップラー効 果に基づく第 2の周波数成分との和又は差の絶対値であるという関係力 前記対象 物の距離及び相対速度を算出する距離及び速度算出部と、 The relational power that the beat frequency is the absolute value of the sum or difference of the first frequency component based on the time difference of the reflected wave and the second frequency component based on the Doppler effect A distance and speed calculation unit for calculating the distance and relative speed of the object; を備えることを特徴とする FMCW方式レーダを用いた距離及び速度の測定装置。  An apparatus for measuring distance and speed using an FMCW radar. [7] 前記距離及び速度算出部は、 [7] The distance and speed calculation unit includes: 前記 3つの周波数変化のパターンの傾きを kl、 k2、及び k3、中心周波数を fO、 光速を cとした場合に、第 1のビート周波数 bl及び第 2のビート周波数 b2及び第 3の ビート周波数 b3と、前記第 1の周波数成分及び前記第 2の周波数成分との関係式 bl = I (2水 kl/c)水 d+ (2水 fO/c)水 V I  When the slopes of the three frequency change patterns are kl, k2, and k3, the center frequency is fO, and the speed of light is c, the first beat frequency bl, the second beat frequency b2, and the third beat frequency b3 And the relationship between the first frequency component and the second frequency component bl = I (2 water kl / c) water d + (2 water fO / c) water VI b2 = I (2 *k2Zc) * d+ (2 * fOZc) *v I  b2 = I (2 * k2Zc) * d + (2 * fOZc) * v I b3 = I (2水 k3/c)水 d+ (2水 fO/c)水 v I  b3 = I (2 water k3 / c) Water d + (2 water fO / c) Water v I を解くことによって前記対象物の距離 d及び相対速度 vを特定する特定処理部 を備えることを特徴とする請求項 6に記載の FMCW方式レーダを用いた距離及び 速度の測定装置。  7. The distance and speed measuring device using the FMCW radar according to claim 6, further comprising: a specific processing unit that specifies a distance d and a relative speed v of the object by solving. [8] 前記波形パターン生成部は、 [8] The waveform pattern generator 上昇部と下降部と一定部の 3つの周波数変化のパターンを備える波形パターンを 生成し、  Generate a waveform pattern with three frequency change patterns: ascending, descending, and constant, 前記算出部は、  The calculation unit includes: 第 1のビート周波数は前記第 1の周波数成分と前記第 2の周波数成分との和の絶 対値であり、第 2のビート周波数は前記第 1の周波数成分と前記第 2の周波数成分と の差の絶対値であり、第 3のビート周波数は前記第 2の周波数成分の絶対値であると いう関係に基づいて、前記第 1の周波数成分及び前記第 2の周波数成分を特定し、 前記対象物の距離及び相対速度を算出する特定処理部を備えることを特徴とする請 求項 6に記載の FMCW方式レーダを用いた距離及び速度の測定装置。  The first beat frequency is an absolute value of the sum of the first frequency component and the second frequency component, and the second beat frequency is the difference between the first frequency component and the second frequency component. The first frequency component and the second frequency component are identified based on a relationship that the absolute value of the difference and the third beat frequency is the absolute value of the second frequency component, and the target The distance and speed measuring device using the FMCW radar according to claim 6, further comprising a specific processing unit that calculates a distance and a relative speed of the object. [9] 前記候補算出部は、前記第 1のビート周波数 bl及び前記第 2のビート周波数 b2、 前記第 1の周波数成分 D及び前記第 2の周波数成分 Vについての関係式 [9] The candidate calculation unit includes a relational expression for the first beat frequency bl, the second beat frequency b2, the first frequency component D, and the second frequency component V. bl = I D+V I  bl = I D + V I b2= I D-V I  b2 = I D-V I を解くことによって解候補を算出し、  Solution candidate is calculated by solving 前記特定処理部は、前記第 3のビート周波数 b3についての関係式 b3= I v I The specific processing unit is a relational expression for the third beat frequency b3. b3 = I v I と前記解候補との距離が最小となる解候補を前記対象物の距離及び相対速度と特 定することを特徴とする請求項 8に記載の FMCW方式レーダを用いた距離及び速 度の測定装置。 9. The distance and speed measuring apparatus using the FMCW radar according to claim 8, wherein a solution candidate having a minimum distance between the target and the solution candidate is identified as a distance and a relative speed of the object. . 前記受信部によって複数の反射波を受信した場合において、  In the case where a plurality of reflected waves are received by the receiving unit, 前記特定処理部は、 D— V平面上にぉ 、て前記解と特定する複数の解候補を通る 直線群の D軸又は V軸における切片の絶対値が、前記ビート周波数取得部によって 取得するビート周波数を網羅することを制約条件とすることを特徴とする請求項 9に 記載の FMCW方式レーダを用いた距離及び速度の測定装置。  The specific processing unit beats on the D-V plane, the beat value acquiring unit acquires the absolute value of the intercept on the D axis or the V axis of the straight line group that passes through the plurality of solution candidates specified as the solution. 10. The apparatus for measuring distance and speed using the FMCW radar according to claim 9, wherein the restriction is to cover frequencies.
PCT/JP2004/018513 2004-12-10 2004-12-10 Method and device for measuring distance and speed Ceased WO2006061913A1 (en)

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