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CN1095356C - Mutual correlation-spectrum figure method in supersonic blood current measurement - Google Patents

Mutual correlation-spectrum figure method in supersonic blood current measurement Download PDF

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CN1095356C
CN1095356C CN 98100901 CN98100901A CN1095356C CN 1095356 C CN1095356 C CN 1095356C CN 98100901 CN98100901 CN 98100901 CN 98100901 A CN98100901 A CN 98100901A CN 1095356 C CN1095356 C CN 1095356C
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CN1191711A (en
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高上凯
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Tsinghua University
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Abstract

本发明涉及超声血流测量中的“互相关-频谱图”方法,该方法由超声发射电路产生脉冲信号,产生电脉冲信号施加到控制器上,由射频放大电路将回波信号放大,再由互相关运算器计算两次发射之间回波信号的互相关系数,最后,由相关函数构成时域复数包络函数,并通过谱分析器计算出血流信号的动态功率。本发明的方法解决了长期困扰人们的高速血流测量中的频谱混迭问题,可广泛应用于医学和工业中。

The invention relates to a "cross-correlation-spectrogram" method in ultrasonic blood flow measurement. In the method, a pulse signal is generated by an ultrasonic transmitting circuit, an electric pulse signal is generated and applied to a controller, and the echo signal is amplified by a radio frequency amplifying circuit. The cross-correlation calculator calculates the cross-correlation coefficient of the echo signals between two transmissions, and finally, the time-domain complex envelope function is formed by the correlation function, and the dynamic power of the blood flow signal is calculated by the spectrum analyzer. The method of the invention solves the problem of frequency spectrum aliasing in the measurement of high-speed blood flow that has plagued people for a long time, and can be widely used in medicine and industry.

Description

超声血流测量中的“互相关-频谱图”方法"Cross-correlation-spectrogram" method in ultrasonic blood flow measurement

本发明涉及一种超声血流测量中的“互相关-频谱图”方法,属物理测量技术领域。The invention relates to a "cross-correlation-spectrogram" method in ultrasonic blood flow measurement, which belongs to the technical field of physical measurement.

用超声方法测量人体血流在临床中有广泛的应用。传统的超声血流测量是基于多普勒原理设计的。它在一定程度上解决了无创测量人体血流的问题。但是,传统的多普勒方法存在两方面固有的缺陷:(1)最大可测流速与最大可探测深度相互制约;(2)距离分辨率与速度分辨率之间相互制约。因此,当被测流速较大时,就会在输出的谱图上出现混迭现象,给临床诊断带来疑惑。如何解决高速血流测量中频谱混迭一直是人们十分关注的问题。Ultrasonic measurement of human blood flow has a wide range of clinical applications. Traditional ultrasonic blood flow measurement is designed based on the Doppler principle. It solves the problem of non-invasive measurement of human blood flow to a certain extent. However, the traditional Doppler method has two inherent defects: (1) the maximum measurable flow velocity and the maximum detectable depth are mutually restricted; (2) the distance resolution and the velocity resolution are mutually restricted. Therefore, when the measured flow rate is large, there will be aliasing phenomenon on the output spectrum, which will bring doubts to clinical diagnosis. How to solve the spectrum aliasing in high-speed blood flow measurement has always been a problem that people pay close attention to.

现有的超声多普勒血流测量中,测量结果用动态功率谱图的方式输出(见图1)。图中横坐标是时间轴;纵坐标是频偏,它与流速相当;谱图中的灰度表示特定时刻、具有某种特定流速的物体产生的回波信号的能量。谱图中在横坐标上方的部分表示正向流(即流速方向指向换能器);横坐标下方的谱图表示反向流(即流速方向背离换能器)。当被测的血流速度比较高的时候,就会发生谱图折叠的现象。例如,较高的正向流部分将会折叠到反向流的区域中来,如图2。当更高速度的血流出现时,严重的谱图折叠会造成谱图混叠的现象,如图3。这将给临床诊断带来困难。In the existing ultrasonic Doppler blood flow measurement, the measurement result is output in the form of a dynamic power spectrum (see FIG. 1 ). The abscissa in the figure is the time axis; the ordinate is the frequency offset, which is equivalent to the flow velocity; the gray scale in the spectrogram represents the energy of the echo signal generated by an object with a certain flow velocity at a specific moment. The part above the abscissa in the spectrogram represents forward flow (ie, the direction of flow velocity points to the transducer); the spectrogram below the abscissa represents reverse flow (ie, the direction of flow velocity is away from the transducer). When the measured blood flow velocity is relatively high, the spectral folding phenomenon will occur. For example, the higher forward flow section will fold into the reverse flow area, as shown in Figure 2. When a higher velocity of blood flow occurs, severe spectrum folding will cause spectral aliasing, as shown in Figure 3. This will bring difficulties to clinical diagnosis.

谱图混叠现象是多普勒血流测量系统中存在的固有的问题。为了解决这个问题,有人提出了“互相关”血流测量的方法。这种方法可以在某种程度上解决速度测量中的混叠现象。但是,普通的“互相关”方法测量的结果只能提供平均流速,而不能提供谱图显示。这样的结果既不符合医生的习惯,也不便于在临床疾病诊断中使用。Spectral aliasing is an inherent problem in Doppler flow measurement systems. To solve this problem, a method of "cross-correlation" blood flow measurement was proposed. This approach can somewhat resolve aliasing in velocity measurements. However, the results measured by the ordinary "cross-correlation" method can only provide the average flow rate, but cannot provide a spectral display. Such a result is not in line with the habits of doctors, nor is it convenient to use in clinical disease diagnosis.

本发明的目的是研制一种超声血流测量中的“互相关-频谱图”方法,以解决长期困扰人们的高速血流测量中的频谱混迭问题,更准确地测定人体血流(特别是高速血流)。The purpose of the present invention is to develop a method of "cross-correlation-spectrogram" in ultrasonic blood flow measurement, to solve the problem of frequency spectrum aliasing in high-speed blood flow measurement that has plagued people for a long time, and to more accurately measure human blood flow (especially high-speed blood flow).

本发明的超声血流测量中的“互相关-频谱图”方法,包括以下各步骤:The "cross-correlation-spectrogram" method in ultrasonic blood flow measurement of the present invention comprises the following steps:

(1)由超声发射电路产生电脉冲信号,施加到换能器上,激励压电晶体,转换成超声波射入人体;(1) The electric pulse signal is generated by the ultrasonic transmitting circuit and applied to the transducer to excite the piezoelectric crystal, which is converted into ultrasonic waves and injected into the human body;

(2)由射频放大电路放大微弱的回波信号;(2) The weak echo signal is amplified by the radio frequency amplifier circuit;

(3)由互相关运算器计算两次发射之间回波信号的互相关函数,并由此找到互相关函数的最大值及对应的时间位移;(3) Calculate the cross-correlation function of the echo signal between the two transmissions by the cross-correlation calculator, and thus find the maximum value of the cross-correlation function and the corresponding time displacement;

(4)由互相关函数的最大值及位移量构成时域复数包络函数,并通过谱分析器计算出血流信号的动态功率谱。(4) The time-domain complex envelope function is formed by the maximum value and displacement of the cross-correlation function, and the dynamic power spectrum of the blood flow signal is calculated by a spectrum analyzer.

本发明提出的超声血流测量中的“互相关-频谱图”方法,是一种抗混迭的血流测量新方法。这种被称为“互相关-频谱图”的新方法解决了长期困扰人们的高速血流测量中的频谱混迭问题。基于这种新的检测原理设计的仪器可用于更准确地测定人体血流(特别是高速血流)。此类仪器同时还可以用于工业生产领域中管道内流体的测量及某些运动目标速度的测量。The "cross-correlation-spectrogram" method in ultrasonic blood flow measurement proposed by the present invention is a new anti-aliasing blood flow measurement method. The new method, called "cross-correlation-spectrogram," solves the long-standing problem of spectral aliasing in high-speed blood flow measurements. The instrument designed based on this new detection principle can be used to measure human blood flow (especially high-speed blood flow) more accurately. This type of instrument can also be used in the measurement of the fluid in the pipeline in the field of industrial production and the measurement of the speed of some moving objects.

附图说明:Description of drawings:

图1是正常的血流谱图。Figure 1 is a normal blood flow spectrum.

图2是谱图折叠现象。Figure 2 is a spectrum folding phenomenon.

图3是谱图混叠现象。Figure 3 is the spectrogram aliasing phenomenon.

图4是本发明方法的原理框图。Fig. 4 is a functional block diagram of the method of the present invention.

图5是互相关运算原理图。Fig. 5 is a schematic diagram of the cross-correlation operation.

图6和图7是利用本发明方法得到的抗混迭声谱图的原理。Fig. 6 and Fig. 7 are the principle of the anti-aliasing spectrogram obtained by using the method of the present invention.

图8是本发明方法的一个实施例。Figure 8 is an embodiment of the method of the present invention.

图9是发射电路图。Figure 9 is a transmission circuit diagram.

图10是射频放大电路图。Fig. 10 is a circuit diagram of radio frequency amplifier.

图11是互相关运算器电路图。Fig. 11 is a circuit diagram of a cross-correlation operator.

下面结合附图,详细介绍本发明的内容。Below in conjunction with accompanying drawing, introduce the content of the present invention in detail.

图4-图10中,1是换能器,2是皮肤,3是超声束,4是血管,5是人体组织散射体。In Fig. 4-Fig. 10, 1 is a transducer, 2 is a skin, 3 is an ultrasonic beam, 4 is a blood vessel, and 5 is a body tissue scatterer.

图4所示为本发明方法的原理框图,各主要步骤的工作原理如下:Shown in Fig. 4 is the functional block diagram of the inventive method, and the working principle of each main step is as follows:

(1)发射电路:(1) Transmitting circuit:

在脉冲波超声血流测量系统中,超声换能器为单一压电晶体。由发射电路产生电脉冲,激励压电晶体,转换成超声波射入人体。体内脏器造成的反射波反过来再由压电晶体转换成电信号进入接收电路。In the pulse wave ultrasonic blood flow measurement system, the ultrasonic transducer is a single piezoelectric crystal. The electric pulse generated by the transmitting circuit excites the piezoelectric crystal, which is converted into ultrasonic wave and injected into the human body. The reflected waves caused by the internal organs are in turn converted into electrical signals by piezoelectric crystals and enter the receiving circuit.

(2)射频放大电路:(2) RF amplifier circuit:

由于回波信号非常微弱,因此需要经过放大才能做进一步的信息提取。图中的射频放大器必须具有一定的增益与带宽。Since the echo signal is very weak, further information extraction needs to be amplified. The RF amplifier in the figure must have a certain gain and bandwidth.

(3)互相关运算器:(3) Cross-correlation calculator:

互相关运算器用来检测两次发射期间同一运动目标产生的回波信号在时间上的位移,其原理参见图5。The cross-correlation calculator is used to detect the time displacement of the echo signal generated by the same moving target during the two transmissions. See Figure 5 for its principle.

从图5中可以看出,假定在两次发射的时间间隔T中,运动物体移动了距离Δd,那么在回波信号中就会出现相应的时间差Δt。简单推导可得: Δt = 2 Δd c - - - - ( 1 ) It can be seen from Figure 5 that, assuming that the moving object has moved a distance Δd in the time interval T between two transmissions, a corresponding time difference Δt will appear in the echo signal. Simple derivation can get: Δt = 2 Δd c - - - - ( 1 )

式中c是超声波在人体中的传播速度。where c is the propagation speed of ultrasound in the human body.

如果将两次发射后的回波信号做互相关运算,互相关函数必将在τ=Δt时出现最大值。换言之,通过检测互相关函数最大值出现的时刻,就可以得到Δt。由Δt可以得到Δd。再将位移Δd除以时间T就得到了运动物体的轴向速度V。 v = Δd T - - - - ( 2 ) If the echo signals after two transmissions are used for cross-correlation calculation, the cross-correlation function will have a maximum value when τ=Δt. In other words, by detecting the moment when the maximum value of the cross-correlation function appears, Δt can be obtained. Δd can be obtained from Δt. Then divide the displacement Δd by the time T to get the axial velocity V of the moving object. v = Δd T - - - - ( 2 )

用时域互相关方法得到某一指定深度下运动物体的平均速度,但是这样的结果与医生在临床中使用的频谱图是不一样的。The average velocity of moving objects at a specified depth is obtained by time-domain cross-correlation method, but this result is different from the spectrogram used by doctors in clinic.

(4)谱分析器:(4) Spectrum Analyzer:

互相关器输出的结果是两次发射期间目标在回波信号中出现的时间差,这个时间差反映了物体运动的速度。The result of the output of the cross-correlator is the time difference between the appearance of the target in the echo signal between the two transmissions, and this time difference reflects the speed of the object's motion.

为了将这个运动信息用声谱图格式显示出来,可以用如下方法构造一个时域复数包络信号,然后通过谱分析器得到声谱图。In order to display this motion information in spectrogram format, a time-domain complex envelope signal can be constructed by the following method, and then the spectrogram can be obtained through a spectrum analyzer.

所构造的时域复数包络信号是:The constructed time-domain complex envelope signal is:

x(n)=A(n)ej(n)                 (3)x(n)=A(n)e j(n) (3)

式中的幅度函数A(n)与相位函数(n)分别是 A ( n ) = R max ( n ) ( τ max ( n ) ) - - - - ( 4 )

Figure C9810090100052
The amplitude function A(n) and phase function (n) in the formula are respectively A ( no ) = R max ( no ) ( τ max ( no ) ) - - - - ( 4 )
Figure C9810090100052

式中

Figure C9810090100053
是第n次发射与第(n+1)次发射后回波信号的互相关函数出现最大值时的位移时间; 是在位移量为 时的自相关函数值。In the formula
Figure C9810090100053
is the displacement time when the cross-correlation function of the echo signal after the nth emission and the (n+1)th emission appears the maximum value; is at a displacement of The value of the autocorrelation function when .

可以证明,对(3)式构成的时域信号做傅立叶变换并求其功率谱就是传统多普勒方法得到血流信号声谱图。It can be proved that performing Fourier transform on the time-domain signal formed by formula (3) and calculating its power spectrum is the traditional Doppler method to obtain the blood flow signal spectrogram.

(5)谱图显示:(5) Spectrum display:

对于在第(4)步中得到的声谱图可以按传统方法在监视器上显示。显示的格式与图1给出的例子一样,即横坐标是时间轴;纵坐标是频偏,它与流速相当;谱图中的灰度表示特定时刻、具有某种特定流速的物体产生的回波信号的能量。The spectrogram obtained in step (4) can be displayed on the monitor in the traditional way. The displayed format is the same as the example given in Figure 1, that is, the abscissa is the time axis; the ordinate is the frequency deviation, which is equivalent to the flow velocity; the gray scale in the spectrogram represents the echo produced by an object with a certain flow velocity at a specific moment. energy of the wave signal.

与传统的多普勒血流测量相比,本发明专利提出的“互相关-声谱图”方法不仅可以给用户提供同样的声谱图显示,更重要的是本方法可测的最高流速不受约束。Compared with the traditional Doppler blood flow measurement, the "cross-correlation-spectrogram" method proposed by the patent of the present invention can not only provide the user with the same spectrogram display, but more importantly, the highest flow rate that can be measured by this method is not Bound.

声谱图显示中的最高流速与被分析的时域数据的采样率有关。在传统方法中,采样率等于发射脉冲的重复频率PRF。一旦较高的流速产生的频偏超过PRF的一半时,频谱就会发生混叠现象。采用“互相关-声谱图”方法时,如果流速比较高,可以用插值的方法将一次测得的

Figure C9810090100056
分成两步到达,这样就相当于将采样率PRF提高了一倍。如果将
Figure C9810090100057
分得更细,就相当于得到了更高的采样率。用这样的方法自然就可以避免在频谱中出现混叠现象。即使在流速比较高的情况下,也不例外(参见图6和图7)。The highest flow rate in the spectrogram display is related to the sampling rate of the time domain data being analyzed. In traditional methods, the sampling rate is equal to the repetition frequency PRF of the transmitted pulse. Aliasing occurs in the spectrum once the higher flow velocity produces a frequency offset of more than half of the PRF. When using the "cross-correlation-spectrogram" method, if the flow rate is relatively high, the interpolation method can be used to
Figure C9810090100056
Arriving in two steps is equivalent to doubling the sampling rate PRF. if will
Figure C9810090100057
A finer division is equivalent to a higher sampling rate. In this way, aliasing in the frequency spectrum can naturally be avoided. This is true even at relatively high flow rates (see Figures 6 and 7).

下面介绍本发明的一个实施例,如图8所示。An embodiment of the present invention is introduced below, as shown in FIG. 8 .

本实施例以一台普通微机作为基本的硬件平台。信号的发射、检测与分析都由自制的硬件实现。对应以上5个步骤,给出本实施例中采用的方法。In this embodiment, an ordinary microcomputer is used as the basic hardware platform. The emission, detection and analysis of signals are all realized by self-made hardware. Corresponding to the above five steps, the method adopted in this embodiment is given.

(1)发射电路(参见图9)(1) Transmitting circuit (see Figure 9)

发射电路由两个三极管、两个VMOS管和一个变压器组成。由系统控制电路产生的两个互补的发射脉冲信号分别送给两个三极管,经过电平转换后控制VMOS管的开关。两个VMOS管交替导通,所形成的发射脉冲经过变压器耦合到换能器晶片上。The transmitting circuit consists of two triodes, two VMOS tubes and a transformer. The two complementary emission pulse signals generated by the system control circuit are respectively sent to the two triodes, which control the switch of the VMOS tube after level conversion. The two VMOS transistors are turned on alternately, and the formed emission pulse is coupled to the transducer chip through the transformer.

(2)射频放大电路(参见图10)(2) RF amplifier circuit (see Figure 10)

射频放大器选用AD600,这是一个宽频带、低噪声的射频放大器。The radio frequency amplifier selects AD600, which is a wide-band, low-noise radio frequency amplifier.

放大器的输入级串联了一个L、C谐振电路,以便有针对性地选出与发射频率相关的信号。The input stage of the amplifier is connected in series with an L, C resonant circuit, so as to select the signal related to the transmission frequency in a targeted manner.

前置放大器输出信号送至相关运算器。The output signal of the preamplifier is sent to the relevant arithmetic unit.

(3)互相关运算器(参见图11)(3) Cross-correlation calculator (see Figure 11)

本实施例中的互相关运算器选用TMC2023数字互相关器。它是一片64位的数字相关运算专用芯片。该芯片的输入是经过放大的超声回波信号f(n),输出就是两次发射后回波信号的自相关函数R(N)。The cross-correlation operator in this embodiment selects TMC2023 digital cross-correlator. It is a 64-bit digital correlation operation dedicated chip. The input of the chip is the amplified ultrasonic echo signal f(n), and the output is the autocorrelation function R(N) of the echo signal after two transmissions.

互相关运算器的输出经过最大相关值的检测电路,得到最大互相关值 和相应的时间延迟 The output of the cross-correlation operator passes through the detection circuit of the maximum correlation value to obtain the maximum cross-correlation value and the corresponding time delay

(4)谱分析器:(4) Spectrum Analyzer:

谱分析器是一块商品化的TMS320C25高速信号处理卡。这是一个以TMS320C25为中心的信号处理卡。用TMS320C25汇编语言编制程序可以在5ms内实现256点复数FFT。The spectrum analyzer is a commercial TMS320C25 high-speed signal processing card. This is a TMS320C25-centric signal processing card. Compiling a program with TMS320C25 assembly language can realize 256-point complex FFT within 5ms.

整个系统建立在一个通用PC机的平台上。通过一个人一机交互的界面可以控制系统工作中的必须的各种控制参数。声谱图显示在PC机的显示器上。The whole system is built on a common PC platform. Various control parameters necessary for system work can be controlled through a man-machine interactive interface. The spectrogram is displayed on the monitor of the PC.

Claims (1)

1、一种超声血流测量中的“互相关-频谱图”方法,其特征在于,该方法包括以下各步骤:1. A "cross-correlation-spectrogram" method in ultrasonic blood flow measurement, characterized in that the method comprises the following steps: (1)由超声发射电路产生电脉冲信号,施加到换能器上,激励压电晶体,转换成超声波射入人体;(1) The electric pulse signal is generated by the ultrasonic transmitting circuit and applied to the transducer to excite the piezoelectric crystal, which is converted into ultrasonic waves and injected into the human body; (2)由射频放大电路放大微弱的回波信号;(2) The weak echo signal is amplified by the radio frequency amplifier circuit; (3)由互相关运算器计算两次发射之间回波信号的互相关函数,并由此找到互相关函数的最大值及对应的时间位移;(3) Calculate the cross-correlation function of the echo signal between the two transmissions by the cross-correlation calculator, and thus find the maximum value of the cross-correlation function and the corresponding time displacement; (4)通过谱分析器由互相关函数的最大值及位移量构成时域复数包络函数,所构造的时域复数包络信号为:(4) The time-domain complex envelope function is formed by the maximum value of the cross-correlation function and the displacement through the spectrum analyzer, and the constructed time-domain complex envelope signal is: x(n)=A(n)ej(n)               (1)x(n)=A(n)e j(n) (1) 式中的幅度函数A(n)与相位函数(n)分别是 A ( n ) = R max ( n ) ( τ max ( n ) ) - - - - ( 2 ) The amplitude function A(n) and phase function (n) in the formula are respectively A ( no ) = R max ( no ) ( τ max ( no ) ) - - - - ( 2 ) 式中
Figure C9810090100023
是第n次发射与第(n+1)次发射后回波信号的互相关函数出现最大值时的位移时间;
Figure C9810090100024
是在位移量为
Figure C9810090100025
时的自相关函数值,
In the formula
Figure C9810090100023
is the displacement time when the cross-correlation function of the echo signal after the nth emission and the (n+1)th emission appears the maximum value;
Figure C9810090100024
is at a displacement of
Figure C9810090100025
The value of the autocorrelation function when
上述(1)式构成的时域信号做傅立叶变换并求其功率谱,即得到血流信号声谱图,并由此计算出血流信号的动态功率谱。The time-domain signal formed by the above formula (1) is subjected to Fourier transform and its power spectrum is obtained, that is, the blood flow signal spectrogram is obtained, and the dynamic power spectrum of the blood flow signal is calculated accordingly.
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