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WO2019200663A1 - Beam control method based on frequency diversity array antenna - Google Patents

Beam control method based on frequency diversity array antenna Download PDF

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Publication number
WO2019200663A1
WO2019200663A1 PCT/CN2018/088469 CN2018088469W WO2019200663A1 WO 2019200663 A1 WO2019200663 A1 WO 2019200663A1 CN 2018088469 W CN2018088469 W CN 2018088469W WO 2019200663 A1 WO2019200663 A1 WO 2019200663A1
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antenna
array
signal
antenna array
transmission
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李强
黄磊
周汉飞
赵博
孙维泽
许景新
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Shenzhen University
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    • HELECTRICITY
    • H04ELECTRIC COMMUNICATION TECHNIQUE
    • H04BTRANSMISSION
    • H04B7/00Radio transmission systems, i.e. using radiation field
    • H04B7/02Diversity systems; Multi-antenna system, i.e. transmission or reception using multiple antennas
    • H04B7/04Diversity systems; Multi-antenna system, i.e. transmission or reception using multiple antennas using two or more spaced independent antennas
    • H04B7/06Diversity systems; Multi-antenna system, i.e. transmission or reception using multiple antennas using two or more spaced independent antennas at the transmitting station
    • H04B7/0613Diversity systems; Multi-antenna system, i.e. transmission or reception using multiple antennas using two or more spaced independent antennas at the transmitting station using simultaneous transmission
    • H04B7/0615Diversity systems; Multi-antenna system, i.e. transmission or reception using multiple antennas using two or more spaced independent antennas at the transmitting station using simultaneous transmission of weighted versions of same signal
    • H04B7/0617Diversity systems; Multi-antenna system, i.e. transmission or reception using multiple antennas using two or more spaced independent antennas at the transmitting station using simultaneous transmission of weighted versions of same signal for beam forming
    • YGENERAL TAGGING OF NEW TECHNOLOGICAL DEVELOPMENTS; GENERAL TAGGING OF CROSS-SECTIONAL TECHNOLOGIES SPANNING OVER SEVERAL SECTIONS OF THE IPC; TECHNICAL SUBJECTS COVERED BY FORMER USPC CROSS-REFERENCE ART COLLECTIONS [XRACs] AND DIGESTS
    • Y02TECHNOLOGIES OR APPLICATIONS FOR MITIGATION OR ADAPTATION AGAINST CLIMATE CHANGE
    • Y02DCLIMATE CHANGE MITIGATION TECHNOLOGIES IN INFORMATION AND COMMUNICATION TECHNOLOGIES [ICT], I.E. INFORMATION AND COMMUNICATION TECHNOLOGIES AIMING AT THE REDUCTION OF THEIR OWN ENERGY USE
    • Y02D30/00Reducing energy consumption in communication networks
    • Y02D30/70Reducing energy consumption in communication networks in wireless communication networks

Definitions

  • the invention relates to a beam control method based on a frequency diversity array antenna, and relates to the technical field of antenna arrays.
  • the base station transmitting station In the traditional satellite navigation carrier phase real-time dynamic differential (RTK, Real Time Kinematic) technology, the base station transmitting station usually adopts an ordinary omnidirectional antenna. Therefore, the anti-interference ability of the base station transmitting antenna is weak, and there is no directional gain function. If a phased array antenna is used, the antenna beam and the pointing shape can be quickly and flexibly changed in a set airspace, so that the gain in the desired target direction is maximized, and a null can be formed at the interference, thereby reducing the gain at the interference.
  • RTK Real Time Kinematic
  • phased array antennas have gradually received challenges.
  • the main lobe interference occurs, that is, the interference signal angle is the same as or close to the transmission signal angle, the phased array antenna will not be able to distinguish the desired signal from the interference signal, thereby suppressing the reception of the desired signal.
  • the emergence of frequency diversity array antennas has brought new ideas to solve the main lobe interference.
  • the literature “P.Antonik, MCWicks, HDGriffiths, and CJBaker, "Frequency diverse array radars," Proc. IEEE Radar Conf., pp. 215-217, Apr. 2006” was first proposed at the 2016 International Radar Conference. The concept of frequency diversity array antennas has since attracted the attention of many scholars in the radar field.
  • the Frequency Dividing Array Antenna introduces a linear frequency increment far smaller than the carrier frequency in the signal transmitted by each array element, so that the transmission frequencies of the antenna elements are different.
  • the frequency diversity array antenna can generate the steering vector which is two-dimensionally related to the angle and the distance by using the small frequency offset between the array elements, so that the beam pattern of the two dimensions of the airspace-distance domain can be formed. If the main lobe interference occurs, the difference between the desired signal and the interference signal to the target can be utilized, so that the main dimension interference suppression can be effectively realized by using the distance dimension zero point of the transmission pattern of the frequency diversity array antenna.
  • this conventional frequency diversity array antenna pattern has a periodic characteristic in the distance dimension, thereby reducing the received signal power at the target.
  • scholars W.Khan, IMQureshi, and S.Saeed Frequency (Diverse array radar with logarithmically increasing frequency offset, IEEE Antennas Wireless Propag. Lett., vol. 14, pp. 499-502, Feb, 2015)
  • a logarithmic frequency offset FDA antenna is proposed. This approach designs the frequency offset to be in the form of a logarithmic distribution to eliminate periodicity in the FDA pattern distance dimension.
  • the main pattern of the pattern formed by this method is wider, which amplifies the noise power, thereby reducing the signal-to-interference ratio of the FDA antenna output.
  • the present invention aims to provide a user with a frequency diversity array antenna-based beam control method, which overcomes the periodic defect in the beam emission distance dimension in the prior art, and enhances the target location. Signal reception power.
  • the invention provides a beam control method based on a frequency diversity array antenna, which comprises:
  • Step A setting a transmission frequency offset of each antenna array element in the antenna array to a uniform distribution, and establishing a random frequency offset antenna array transmission signal model;
  • Step B Calculate a received signal model at the desired target spatial location according to spatial location information of the desired target;
  • Step C Obtain a steering vector of the antenna array transmit signal reaching the desired target spatial position according to the received signal model, and calculate a weight coefficient of each antenna array element in the antenna array according to the steering vector;
  • Step D According to the weight coefficient of each antenna element, control the transmission of the signal of each antenna element to form a beam.
  • the random frequency offset antenna array transmitting signal model in step A is:
  • x m (t) represents the transmitted signal at time t on the mth antenna element
  • w m represents the weight coefficient on the mth antenna element
  • ( ⁇ ) H represents conjugate transpose
  • t represents signal At the time of transmission
  • T represents the signal transmission interval
  • f m represents the carrier frequency of the transmitted signal on the mth antenna element.
  • the transmit signal carrier frequency is expressed as:
  • f 0 is the reference carrier frequency
  • ⁇ f is a fixed carrier frequency offset
  • ⁇ f is much smaller than f 0
  • ⁇ m ⁇ U(0, 1) is expressed as a uniform distribution between 0 and 1.
  • the received signal model at the desired target spatial location in step B is:
  • R 0 and ⁇ 0 represent the distance and angle of arrival of the desired target spatial position to the reference array element of the antenna array, respectively, and R m represents the distance at which the desired target spatial position reaches the mth antenna element.
  • the weight coefficients of the respective antenna array elements calculated according to the steering vector in step C are:
  • w m is the weight coefficient on the mth antenna element
  • d is the spacing between two adjacent antenna elements
  • ⁇ 0 is the wavelength of the reference signal
  • the method provided by the present invention is based on the fact that the frequency diversity array antenna is a conventional FDA antenna, and the frequency offset is set to a uniform distribution, which can effectively eliminate the periodicity in the distance dimension of the antenna array element beam transmission process. Thereby enhancing the signal reception power at the target.
  • FIG. 1 is a flow chart showing the steps of a beam diversity array antenna based beam steering method provided by the present invention
  • 3 is a beam pattern obtained in the beam steering method provided by the present invention.
  • the invention employs a random frequency offset method.
  • the embodiment provided by the present invention is a beam control method based on a frequency diversity array antenna. As shown in FIG. 1 , the steps of the beam control method include:
  • Step S1 setting a transmission frequency offset of each antenna array element in the antenna array to a uniform distribution, and establishing a random frequency offset antenna array transmission signal model.
  • the carrier frequency of the transmitted signal on the mth antenna element is:
  • f 0 is the reference carrier frequency
  • ⁇ f is a fixed carrier frequency offset
  • ⁇ f is negligible compared to f 0 . It should be noted that ⁇ f will affect the pattern distribution of the frequency diversity antenna in the distance dimension.
  • the invention employs a random frequency offset method.
  • the uniform line matrix method of M array elements is also used, and the carrier frequency of the transmitted signal on the mth antenna array element is expressed as:
  • ⁇ m to U (0, 1) are expressed as a uniform distribution between 0 and 1.
  • the transmitted signal of the mth antenna element at time t can be expressed as:
  • w m represents the weight coefficient on the mth antenna element
  • ( ⁇ ) H represents the conjugate transposition operation
  • t represents the signal transmission timing
  • T represents the signal transmission interval.
  • Step S2 Calculate a received signal model at the desired target spatial location according to spatial location information of the desired target.
  • d is the spacing between two adjacent elements, expressed as:
  • c represents the speed of light
  • the target received signal model can be expressed as:
  • ⁇ 0 is the wavelength of the reference signal
  • the target received signal model can be obtained as:
  • Step S3 Calculate a received signal model at the desired target spatial location according to spatial location information of the desired target.
  • the weight coefficients on the array antenna elements need to be designed.
  • equation (8) we can get the steering vector at which the array antenna transmits a signal to the target.
  • Step S4 Control the transmission of the signal transmission of each antenna array element according to the weight coefficient of each antenna array element to form a beam.
  • the transmission control of the antenna element transmitting signal is performed, and the beam can be obtained at the spatial position of the desired target.
  • R and ⁇ are the arbitrary distances and spatial angles that the array antenna can detect, respectively.
  • the above formula (13), that is, the beam pattern and the distance and spatial angle functions, are simulated and simulated, and a beam pattern diagram as shown in FIG. 3 can be obtained.
  • the present invention introduces a random frequency offset method and proposes a direction map design method based on frequency offset array.
  • the invention introduces a random frequency offset antenna array into a satellite navigation RTK base station transmitting station, flexibly controls the direction of the RTK base station transmitting antenna, and eliminates the periodicity in the distance dimension in the FDA pattern, and enhances the signal receiving at the target. power.
  • the array antenna adopts a uniform line array
  • the number of array elements is 10
  • the angle of arrival of the incident signal and the distance are 0° and 100 km
  • 2 and 3 are respectively a pattern obtained by a conventional frequency diversity array beam pattern and a frequency diversity array antenna based beam control method.
  • both methods can form a main beam at the target.
  • the main lobe of the beam pattern in Figure 2 has significant periodic characteristics in the distance dimension, while this is not the case in Figure 3, thereby enhancing the received signal power at the target.

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  • Engineering & Computer Science (AREA)
  • Computer Networks & Wireless Communication (AREA)
  • Signal Processing (AREA)
  • Variable-Direction Aerials And Aerial Arrays (AREA)

Abstract

Provided by the present invention are a beam control method based on a frequency diversity array antenna, comprising: establishing a random frequency offset antenna array transmission signal model by configuring a transmission frequency offset of each antenna array element transmission signal in an antenna array to be distributed uniformly; calculating, according to spatial position information of a desired target, a receiving signal model at a desired target spatial position; calculating a weight coefficient of each antenna element in the antenna array according to the receiving signal model; and controlling, according to the weight coefficient of each antenna element, the transmission of each antenna array element transmission signal so as to form a beam. In the method provided by the present invention, frequency offsets are configured to be distributed uniformly on the basis of a traditional frequency diversity antenna, thus the periodicity of distance dimensions during a beam transmission process of the antenna array elements may be effectively eliminated, thereby enhancing the signal receiving power at the target.

Description

一种基于频率分集阵列天线的波束控制方法Beam control method based on frequency diversity array antenna 技术领域Technical field

本发明为一种基于频率分集阵列天线的波束控制方法,涉及天线阵列技术领域。The invention relates to a beam control method based on a frequency diversity array antenna, and relates to the technical field of antenna arrays.

背景技术Background technique

在传统的卫星导航载波相位实时动态差分(RTK,Real Time Kinematic)技术中,基准站发射电台通常采用普通的全向天线。因此,基准站发射天线的抗干扰能力比较弱,而且没有定向增益功能。如果采用相控阵天线,可以在设定的空域内,快速灵活地改变天线波束和指向形状,使得在期望目标方向的增益最大,同时能够在干扰处形成零陷,从而降低干扰处的增益。In the traditional satellite navigation carrier phase real-time dynamic differential (RTK, Real Time Kinematic) technology, the base station transmitting station usually adopts an ordinary omnidirectional antenna. Therefore, the anti-interference ability of the base station transmitting antenna is weak, and there is no directional gain function. If a phased array antenna is used, the antenna beam and the pointing shape can be quickly and flexibly changed in a set airspace, so that the gain in the desired target direction is maximized, and a null can be formed at the interference, thereby reducing the gain at the interference.

然而,随着干扰技术的快速发展,相控阵天线也逐渐收到了挑战。当主瓣干扰出现时,即干扰信号角度与发射信号角度相同或接近时,相控阵天线将不能区分期望信号和干扰信号,从而会抑制期望信号的接收。随着阵列信号处理理论和技术的发展,频率分集阵列天线的出现给解决主瓣干扰带了新的思路。文献“P.Antonik,M.C.Wicks,H.D.Griffiths,and C.J.Baker,“Frequency diverse array radars,”Proc.IEEE Radar Conf.,pp.215-217,Apr.2006”在2016年国际雷达会议上首先提出了频率分集阵列天线的概念,之后受到了雷达领域众多学者的关注。However, with the rapid development of interference technology, phased array antennas have gradually received challenges. When the main lobe interference occurs, that is, the interference signal angle is the same as or close to the transmission signal angle, the phased array antenna will not be able to distinguish the desired signal from the interference signal, thereby suppressing the reception of the desired signal. With the development of array signal processing theory and technology, the emergence of frequency diversity array antennas has brought new ideas to solve the main lobe interference. The literature "P.Antonik, MCWicks, HDGriffiths, and CJBaker, "Frequency diverse array radars," Proc. IEEE Radar Conf., pp. 215-217, Apr. 2006" was first proposed at the 2016 International Radar Conference. The concept of frequency diversity array antennas has since attracted the attention of many scholars in the radar field.

频率分集阵列天线(FDA,Frequency Diverse Array)通过在各阵元发射信号中,依次引入一个远小于载频的线性频率增量,从而使得天线各阵元的发射频率存在差异。与传统相控阵不同,频率分集阵列天线利用阵元间微小的频率偏移量,能够产生与角度和距离二维相关的导向矢量,从而能够形成空域-距离域两个维度的波束方向图。如主瓣干扰出现时,可以利用期望信号和干扰信号到达目标处距离差异性,从而利用频率分集阵列天线发射方向图的距离维零点可以有效实现主瓣干扰抑制。但是这种传统的频率分集阵列天线方向图在距离维度上存在周期特性,从而降低了目标处接收信号功率。2015年,学者W.Khan,I.M.Qureshi,和S.Saeed Frequency在文献(Diverse array radar with logarithmically increasing frequency offset,IEEE Antennas Wireless Propag.Lett.,vol.14,pp.499–502,Feb,2015)中提出了一种对数频率偏移方式FDA天线。这种方法将频率偏移量设计成 符合对数分布的形式,来消除FDA方向图距离维度上的周期性。但是这种方法所形成方向图主瓣比较宽,会放大噪声功率,从而降低FDA天线输出的信干噪比。The Frequency Dividing Array Antenna (FDA) introduces a linear frequency increment far smaller than the carrier frequency in the signal transmitted by each array element, so that the transmission frequencies of the antenna elements are different. Different from the traditional phased array, the frequency diversity array antenna can generate the steering vector which is two-dimensionally related to the angle and the distance by using the small frequency offset between the array elements, so that the beam pattern of the two dimensions of the airspace-distance domain can be formed. If the main lobe interference occurs, the difference between the desired signal and the interference signal to the target can be utilized, so that the main dimension interference suppression can be effectively realized by using the distance dimension zero point of the transmission pattern of the frequency diversity array antenna. However, this conventional frequency diversity array antenna pattern has a periodic characteristic in the distance dimension, thereby reducing the received signal power at the target. In 2015, scholars W.Khan, IMQureshi, and S.Saeed Frequency (Diverse array radar with logarithmically increasing frequency offset, IEEE Antennas Wireless Propag. Lett., vol. 14, pp. 499-502, Feb, 2015) A logarithmic frequency offset FDA antenna is proposed. This approach designs the frequency offset to be in the form of a logarithmic distribution to eliminate periodicity in the FDA pattern distance dimension. However, the main pattern of the pattern formed by this method is wider, which amplifies the noise power, thereby reducing the signal-to-interference ratio of the FDA antenna output.

因此,现有技术有待于进一步的改进。Therefore, the prior art needs further improvement.

发明内容Summary of the invention

鉴于上述现有技术中的不足之处,本发明的目的在于为用户提供基于频率分集阵列天线的波束控制方法,克服现有技术中波束发射距离维度上的呈周期性的缺陷,增强目标处的信号接收功率。In view of the above-mentioned deficiencies in the prior art, the present invention aims to provide a user with a frequency diversity array antenna-based beam control method, which overcomes the periodic defect in the beam emission distance dimension in the prior art, and enhances the target location. Signal reception power.

本发明提供一种基于频率分集阵列天线的波束控制方法,其中,包括:The invention provides a beam control method based on a frequency diversity array antenna, which comprises:

步骤A、将天线阵列中各个天线阵元发射信号的发射频率偏移量设置为均匀分布,建立随机频率偏移天线阵列发射信号模型;Step A: setting a transmission frequency offset of each antenna array element in the antenna array to a uniform distribution, and establishing a random frequency offset antenna array transmission signal model;

步骤B、根据期望目标的空间位置信息,计算所述期望目标空间位置处的接收信号模型;Step B: Calculate a received signal model at the desired target spatial location according to spatial location information of the desired target;

步骤C、根据所述接收信号模型,得到天线阵列发射信号到达所述期望目标空间位置处的导向矢量,并根据所述导向矢量计算得到天线阵列中各个天线阵元的权值系数;Step C: Obtain a steering vector of the antenna array transmit signal reaching the desired target spatial position according to the received signal model, and calculate a weight coefficient of each antenna array element in the antenna array according to the steering vector;

步骤D、根据各个天线阵元的权值系数,控制各个天线阵元发射信号发射,形成波束。Step D: According to the weight coefficient of each antenna element, control the transmission of the signal of each antenna element to form a beam.

步骤A中所述随机频率偏移天线阵列发射信号模型为:The random frequency offset antenna array transmitting signal model in step A is:

Figure PCTCN2018088469-appb-000001
Figure PCTCN2018088469-appb-000001

其中,x m(t)表示第m个天线阵元上在t时刻的发射信号,w m表示第m个天线阵元上的权值系数,(·) H表示共轭转置,t表示信号发射时刻,T表示信号发射间隔;f m表示第m个天线阵元上的发射信号载波频率。 Where x m (t) represents the transmitted signal at time t on the mth antenna element, w m represents the weight coefficient on the mth antenna element, (·) H represents conjugate transpose, and t represents signal At the time of transmission, T represents the signal transmission interval; f m represents the carrier frequency of the transmitted signal on the mth antenna element.

所述发射信号载波频率表示为:The transmit signal carrier frequency is expressed as:

f m=f 0mΔf,m=0,1,…,M-1; f m =f 0m Δf,m=0,1,...,M-1;

其中,f 0为参考载波频率,Δf为一固定的载波频率偏移,Δf远小于f 0,δ m~U(0,1)表示为在0到1之间的均匀分布。 Where f 0 is the reference carrier frequency, Δf is a fixed carrier frequency offset, Δf is much smaller than f 0 , and δ m ~ U(0, 1) is expressed as a uniform distribution between 0 and 1.

步骤B中所述期望目标空间位置处的接收信号模型为:The received signal model at the desired target spatial location in step B is:

Figure PCTCN2018088469-appb-000002
Figure PCTCN2018088469-appb-000002

其中,c代表光速,R 0和θ 0分别表示为期望目标空间位置到天线阵列参考阵元处的距离和到达角,R m表示该期望目标空间位置到达第m个天线阵元处的距离。 Where c represents the speed of light, R 0 and θ 0 represent the distance and angle of arrival of the desired target spatial position to the reference array element of the antenna array, respectively, and R m represents the distance at which the desired target spatial position reaches the mth antenna element.

步骤C中根据所述导向矢量计算得到的所述各个天线阵元的权值系数为:The weight coefficients of the respective antenna array elements calculated according to the steering vector in step C are:

Figure PCTCN2018088469-appb-000003
Figure PCTCN2018088469-appb-000003

其中,w m为第m个天线阵元上的权值系数,d为相邻两个天线阵元间的间距,λ 0为参考信号的波长。 Where w m is the weight coefficient on the mth antenna element, d is the spacing between two adjacent antenna elements, and λ 0 is the wavelength of the reference signal.

有益效果,本发明所提供的方法基于频率分集阵列天线为传统FDA天线的基础上,将频率偏移量设置成均匀分布,能够有效消除天线阵元波束传输过程中在距离维度上的周期性,从而增强目标处的信号接收功率。The method provided by the present invention is based on the fact that the frequency diversity array antenna is a conventional FDA antenna, and the frequency offset is set to a uniform distribution, which can effectively eliminate the periodicity in the distance dimension of the antenna array element beam transmission process. Thereby enhancing the signal reception power at the target.

附图说明DRAWINGS

图1是本发明所提供的基于频率分集阵列天线的波束控制方法的步骤流程图;1 is a flow chart showing the steps of a beam diversity array antenna based beam steering method provided by the present invention;

图2是现有技术中频率分集阵列波束方向图;2 is a prior art frequency diversity array beam pattern;

图3是本发明提供的波束控制方法中所得到的波束方向图。3 is a beam pattern obtained in the beam steering method provided by the present invention.

具体实施方式detailed description

为使本发明的目的、技术方案及优点更加清楚、明确,以下参照附图并举实施例对本发明进一步详细说明。应当理解,此处所描述的具体实施例仅仅用于解释本发明,并不用于限定本发明。The present invention will be further described in detail below with reference to the accompanying drawings. It is understood that the specific embodiments described herein are merely illustrative of the invention and are not intended to limit the invention.

由于传统的FDA天线频率偏移采用均匀增加的形式,FDA阵列方向图在距离维度上将出现周期性,从而产生多个主瓣,影响实际目标处的信号接收功率。为解决此问题,此发明采用随机频率偏移方法。Since the traditional FDA antenna frequency shift is in a uniformly increasing form, the FDA array pattern will appear periodic in the distance dimension, resulting in multiple main lobes affecting the signal received power at the actual target. To solve this problem, the invention employs a random frequency offset method.

本发明提供的实施例为一种基于频率分集阵列天线的波束控制方法,如图1所示,所述波束控制方法的步骤包括:The embodiment provided by the present invention is a beam control method based on a frequency diversity array antenna. As shown in FIG. 1 , the steps of the beam control method include:

步骤S1:将天线阵列中各个天线阵元发射信号的发射频率偏移量设置为均匀分布,建立随机频率偏移天线阵列发射信号模型。Step S1: setting a transmission frequency offset of each antenna array element in the antenna array to a uniform distribution, and establishing a random frequency offset antenna array transmission signal model.

对于传统FDA天线电台,假设有M个天线阵元,采用均匀线阵方式,则第m个天线阵元上的发射信号载波频率为:For the traditional FDA antenna station, assuming that there are M antenna elements, using a uniform line array, the carrier frequency of the transmitted signal on the mth antenna element is:

f m=f 0+(m-1)·Δf,m=1,2,…,M          (1) f m =f 0 +(m-1)·Δf,m=1,2,...,M (1)

上式中,f 0为参考载波频率,Δf为一固定的载波频率偏移,Δf相比于f 0可忽略不计。需要指出的是,Δf将影响频率分集天线在距离维度上的方向图分布。 In the above formula, f 0 is the reference carrier frequency, Δf is a fixed carrier frequency offset, and Δf is negligible compared to f 0 . It should be noted that Δf will affect the pattern distribution of the frequency diversity antenna in the distance dimension.

由于传统的FDA天线频率偏移采用均匀增加的形式,FDA阵列方向图在距离维度上将出现周期性,从而产生多个主瓣,影响实际目标处的信号接收功率。为解决此问题,此发明采用随机频率偏移方法。Since the traditional FDA antenna frequency shift is in a uniformly increasing form, the FDA array pattern will appear periodic in the distance dimension, resulting in multiple main lobes affecting the signal received power at the actual target. To solve this problem, the invention employs a random frequency offset method.

在本发明中,同样采用M个阵元的均匀线阵方式,第m个天线阵元上的发射信号载波频率表示为:In the present invention, the uniform line matrix method of M array elements is also used, and the carrier frequency of the transmitted signal on the mth antenna array element is expressed as:

f m=f 0m·Δf,m=0,1,…,M-1        (2) f m =f 0m ·Δf,m=0,1,...,M-1 (2)

上式中,δ m~U(0,1)表示为在0到1之间的均匀分布。 In the above formula, δ m to U (0, 1) are expressed as a uniform distribution between 0 and 1.

第m个天线阵元在t时刻的发射信号可以表示为:The transmitted signal of the mth antenna element at time t can be expressed as:

Figure PCTCN2018088469-appb-000004
Figure PCTCN2018088469-appb-000004

上式中,w m表示第m个天线阵元上的权值系数,(·) H表示共轭转置操作,t表示信号发射时刻,T表示信号发射间隔。 In the above formula, w m represents the weight coefficient on the mth antenna element, (·) H represents the conjugate transposition operation, t represents the signal transmission timing, and T represents the signal transmission interval.

步骤S2:根据期望目标的空间位置信息,计算所述期望目标空间位置处的接收信号模型。Step S2: Calculate a received signal model at the desired target spatial location according to spatial location information of the desired target.

若远处一个目标到达该阵列天线参考阵元(m=0)处的距离为R 0,到达角为θ 0,则该目标到达第m个天线处的距离表示为: If a distant target arrives at the array antenna reference element (m=0) at a distance of R 0 and the arrival angle is θ 0 , the distance at which the target reaches the mth antenna is expressed as:

R m=R 0+md sinθ 0 m=1,2,…,M-1         (4) R m =R 0 +md sinθ 0 m=1,2,...,M-1 (4)

上式中,d为相邻两阵元间的间距,表示为:In the above formula, d is the spacing between two adjacent elements, expressed as:

Figure PCTCN2018088469-appb-000005
Figure PCTCN2018088469-appb-000005

上式中,c代表光速。In the above formula, c represents the speed of light.

因此,该目标接收信号模型可以表示为:Therefore, the target received signal model can be expressed as:

Figure PCTCN2018088469-appb-000006
Figure PCTCN2018088469-appb-000006

将公式(4)带入公式(6)中,得到Bring formula (4) into formula (6) and get

Figure PCTCN2018088469-appb-000007
Figure PCTCN2018088469-appb-000007

上式中,λ 0为参考信号的波长,

Figure PCTCN2018088469-appb-000008
In the above formula, λ 0 is the wavelength of the reference signal,
Figure PCTCN2018088469-appb-000008

观察公式(7)中最后一项,分子δ mmΔfd sinθ 0远远小于分母c,因此,忽略该项,可以得到该目标接收信号模型为: Observing the last term in equation (7), the δ m m Δfd sin θ 0 is much smaller than the denominator c. Therefore, by ignoring the term, the target received signal model can be obtained as:

Figure PCTCN2018088469-appb-000009
Figure PCTCN2018088469-appb-000009

步骤S3:根据期望目标的空间位置信息,计算所述期望目标空间位置处的接收信号模型。Step S3: Calculate a received signal model at the desired target spatial location according to spatial location information of the desired target.

为了能够在期望目标(距离为R 0,到达角为θ 0)处形成主瓣,需要设计阵列天线阵元上的权值系数。首先,根据式(8),我们可以得到该阵列天线发射信号到达该目标处的导向矢量为 In order to be able to form the main lobe at the desired target (distance R 0 , arrival angle θ 0 ), the weight coefficients on the array antenna elements need to be designed. First, according to equation (8), we can get the steering vector at which the array antenna transmits a signal to the target.

Figure PCTCN2018088469-appb-000010
Figure PCTCN2018088469-appb-000010

然后依据空间匹配滤波准则,即Then based on the spatial matching filtering criteria, ie

w Ha(R 00)=M          (10) w H a(R 00 )=M (10)

上式中,向量w=[w 0,w 1,…,w M-1] H为阵列天线权值系数。由此,可以得到第m个天线阵元上的权值系数为 In the above formula, the vector w=[w 0 , w 1 , . . . , w M-1 ] H is the array antenna weight coefficient. Thereby, the weight coefficient on the mth antenna element element can be obtained as

Figure PCTCN2018088469-appb-000011
Figure PCTCN2018088469-appb-000011

步骤S4:根据各个天线阵元的权值系数,控制各个天线阵元发射信号发射,形成波束。Step S4: Control the transmission of the signal transmission of each antenna array element according to the weight coefficient of each antenna array element to form a beam.

根据步骤S3中所求天线阵元的阵列权值,进行天线阵元发射信号的发射控制,可以在期望目标的空间位置得到波束。According to the array weight of the antenna element obtained in step S3, the transmission control of the antenna element transmitting signal is performed, and the beam can be obtained at the spatial position of the desired target.

本步骤中通过对上述方法所述的计算方法进行模拟仿真计算,获得频率分集阵列的方向图响应:In this step, the simulation calculation of the calculation method described in the above method is performed to obtain the pattern response of the frequency diversity array:

Figure PCTCN2018088469-appb-000012
Figure PCTCN2018088469-appb-000012

上式中,R和θ分别为阵列天线可以探测到的任意距离和空间角度。In the above formula, R and θ are the arbitrary distances and spatial angles that the array antenna can detect, respectively.

将式(11)带入式(12)中,得到Bringing the formula (11) into the formula (12),

Figure PCTCN2018088469-appb-000013
Figure PCTCN2018088469-appb-000013

上述公式(13)也即波束方向图与距离和空间角度函数,对其进行仿真模拟,可以得到如图3所示的波束方向图示意图。The above formula (13), that is, the beam pattern and the distance and spatial angle functions, are simulated and simulated, and a beam pattern diagram as shown in FIG. 3 can be obtained.

本发明在传统频率分集阵列天线技术的基础上,引入随机频率偏移方法,提出一种基于频率偏移阵列的方向图设计方法。该发明将随机频率偏移天线阵列引入到卫星导航RTK基准站发射电台中,灵活控制RTK基准站发射天线的方向图,同时消除FDA方向图中距离维度上的周期性,增强目标处的信号接收功率。Based on the traditional frequency diversity array antenna technology, the present invention introduces a random frequency offset method and proposes a direction map design method based on frequency offset array. The invention introduces a random frequency offset antenna array into a satellite navigation RTK base station transmitting station, flexibly controls the direction of the RTK base station transmitting antenna, and eliminates the periodicity in the distance dimension in the FDA pattern, and enhances the signal receiving at the target. power.

为证明本发明的有效性,进行了对上述方法进行仿真验证。In order to prove the effectiveness of the present invention, the above method was simulated and verified.

假设阵列天线采用均匀线阵,阵元数目为10,入射信号到达角和距离分别为0°和100km,参考载波频率为f 0=1.5GHz,信号发射间隔为T=1ms。图2和图3分别是传统频率分集阵列波束方向图和基于频率分集阵列天线的波束控制方法所得到的方向图。 Assume that the array antenna adopts a uniform line array, the number of array elements is 10, the angle of arrival of the incident signal and the distance are 0° and 100 km, the reference carrier frequency is f 0 =1.5 GHz, and the signal transmission interval is T=1 ms. 2 and 3 are respectively a pattern obtained by a conventional frequency diversity array beam pattern and a frequency diversity array antenna based beam control method.

从图2和图3中可以明显看出,两种方法都可以在目标处形成主波束。但是,图2中波束方向图的主瓣在距离维度上有明显的周期特性,而图3中则没有这种情况,从而增强了目标处的接收信号功率。As is apparent from Figures 2 and 3, both methods can form a main beam at the target. However, the main lobe of the beam pattern in Figure 2 has significant periodic characteristics in the distance dimension, while this is not the case in Figure 3, thereby enhancing the received signal power at the target.

Claims (5)

一种基于频率分集阵列天线的波束控制方法,其特征在于,包括:A beam control method based on a frequency diversity array antenna, comprising: 步骤A、将天线阵列中各个天线阵元发射信号的发射频率偏移量设置为均匀分布,建立随机频率偏移天线阵列发射信号模型;Step A: setting a transmission frequency offset of each antenna array element in the antenna array to a uniform distribution, and establishing a random frequency offset antenna array transmission signal model; 步骤B、根据期望目标的空间位置信息,计算所述期望目标空间位置处的接收信号模型;Step B: Calculate a received signal model at the desired target spatial location according to spatial location information of the desired target; 步骤C、根据所述接收信号模型,得到天线阵列发射信号到达所述期望目标空间位置处的导向矢量,并根据所述导向矢量计算得到天线阵列中各个天线阵元的权值系数;Step C: Obtain a steering vector of the antenna array transmit signal reaching the desired target spatial position according to the received signal model, and calculate a weight coefficient of each antenna array element in the antenna array according to the steering vector; 步骤D、根据各个天线阵元的权值系数,控制各个天线阵元发射信号发射,形成波束。Step D: According to the weight coefficient of each antenna element, control the transmission of the signal of each antenna element to form a beam. 根据权利要求1所述的基于频率分集阵列天线的波束控制方法,其特征在于,步骤A中所述随机频率偏移天线阵列发射信号模型为;The beam diversity array antenna-based beam control method according to claim 1, wherein the random frequency offset antenna array transmission signal model in step A is;
Figure PCTCN2018088469-appb-100001
Figure PCTCN2018088469-appb-100001
其中,x m(t)表示第m个天线阵元上在t时刻的发射信号,w m表示第m个天线阵元上的权值系数,(·) H表示共轭转置,t表示信号发射时刻,T表示信号发射间隔;f m表示第m个天线阵元上的发射信号载波频率。 Where x m (t) represents the transmitted signal at time t on the mth antenna element, w m represents the weight coefficient on the mth antenna element, (·) H represents conjugate transpose, and t represents signal At the time of transmission, T represents the signal transmission interval; f m represents the carrier frequency of the transmitted signal on the mth antenna element.
根据权利要求1所述的频率分集阵列天线的波束控制方法,其特征在于,所述发射信号载波频率表示为:The beam control method for a frequency diversity array antenna according to claim 1, wherein the carrier frequency of the transmitted signal is expressed as: f m=f 0m·Δf,m=0,1,…,M-1; f m =f 0m ·Δf,m=0,1,...,M-1; 其中,f 0为参考载波频率,Δf为一固定的载波频率偏移,Δf远小于f 0,δ m~U(0,1)表示为在0到1之间的均匀分布,M为天线阵元的个数。 Where f 0 is the reference carrier frequency, Δf is a fixed carrier frequency offset, Δf is much smaller than f 0 , δ m ~ U(0, 1) is expressed as a uniform distribution between 0 and 1, and M is an antenna array. The number of yuan. 根据权利要求3所述的基于频率分集阵列天线的波束控制方法,其特征在于,步骤B中所述期望目标空间位置处的接收信号模型为:The beam diversity array antenna-based beam steering method according to claim 3, wherein the received signal model at the desired target spatial location in step B is:
Figure PCTCN2018088469-appb-100002
Figure PCTCN2018088469-appb-100002
其中,w m表示第m个天线阵元上的权值系数,(·) H表示共轭转置,t表示信号发射时刻,c代表光速,R 0和θ 0分别表示为期望目标空间位置到天线阵列参考阵元处的距离和到达角,R m表示该期望目标空间位置到达第m个天线阵元处的 距离。 Where w m represents the weight coefficient on the mth antenna element, (·) H represents the conjugate transpose, t represents the signal transmission time, c represents the speed of light, and R 0 and θ 0 represent the desired target space position, respectively. The distance and angle of arrival at the antenna array reference array element, R m represents the distance at which the desired target spatial location reaches the mth antenna array element.
根据权利要求4所述的基于频率分集阵列天线的波束控制方法,其特征在于,步骤C中根据所述导向矢量计算得到的所述各个天线阵元的权值系数为:The beam diversity array antenna-based beam control method according to claim 4, wherein the weight coefficients of the respective antenna array elements calculated according to the steering vector in step C are:
Figure PCTCN2018088469-appb-100003
Figure PCTCN2018088469-appb-100003
其中,d为相邻两个天线阵元间的间距,λ 0为参考信号的波长。 Where d is the spacing between two adjacent antenna elements, and λ 0 is the wavelength of the reference signal.
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