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CN111766583B - An imaging method of human body security detector based on measured data - Google Patents

An imaging method of human body security detector based on measured data Download PDF

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CN111766583B
CN111766583B CN202010737864.7A CN202010737864A CN111766583B CN 111766583 B CN111766583 B CN 111766583B CN 202010737864 A CN202010737864 A CN 202010737864A CN 111766583 B CN111766583 B CN 111766583B
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CN111766583A (en
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王勇
曹蕊
黄岩岩
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Harbin Institute of Technology Shenzhen
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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
    • 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
    • G01S13/88Radar or analogous systems specially adapted for specific applications
    • G01S13/89Radar or analogous systems specially adapted for specific applications for mapping or imaging
    • G01S13/90Radar or analogous systems specially adapted for specific applications for mapping or imaging using synthetic aperture techniques, e.g. synthetic aperture radar [SAR] techniques
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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
    • 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
    • G01S13/88Radar or analogous systems specially adapted for specific applications
    • G01S13/887Radar or analogous systems specially adapted for specific applications for detection of concealed objects, e.g. contraband or weapons

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Abstract

A human body security check instrument imaging method based on measured data belongs to the technical field of radar imaging. The invention solves the problem that the imaging can not be carried out by utilizing initial echo data and the traditional SAR imaging method because the actual security check instrument imaging system has system errors and the coupling exists between the azimuth direction and the distance direction of the echo signal of the circular synthetic aperture radar. The invention uses the error phase after fitting and smoothing to carry out carrier frequency correction on the echo signal, thereby compensating the carrier frequency error of the signal. Echo amplitude compensation in the channel is carried out by using the amplitude characteristics of the echo signals; and (3) extracting compensation parameters by using the echo signals of the metal plate, and performing echo amplitude, frequency and constant phase compensation among channels. After the initial echo data are compensated by adopting the method, the image of the human body is obtained by using a back projection imaging algorithm. The invention can be applied to the imaging of the human body security check instrument.

Description

一种基于实测数据的人体安检仪成像方法An imaging method of human body security detector based on measured data

技术领域technical field

本发明属于雷达成像技术领域,具体涉及一种基于实测数据的人体安检仪成像方法。The invention belongs to the technical field of radar imaging, and in particular relates to an imaging method of a human body security checker based on measured data.

背景技术Background technique

传统的安全检查手段,如金属探测器和X光安检仪因存在各自的局限性,不适用于人体成像。相比之下,毫米波具有很好的安全性,且能够穿透衣物及包裹,从而得到更为清晰的隐藏危险物品的成像。而且毫米波的电子能量较低,相比于X射线,其辐射量几乎可以忽略,不会对生物组织造成伤害,且对人体的危害较小。因此基于微波的安检成像已经逐渐成为最主流的人体安检成像方式,并且具有非常广阔的应用前景。Traditional security inspection methods, such as metal detectors and X-ray security scanners, are not suitable for human imaging due to their respective limitations. In contrast, millimeter waves have good safety and can penetrate clothing and packages, resulting in clearer imaging of hidden dangerous objects. Moreover, the electron energy of millimeter wave is low, and its radiation amount is almost negligible compared with X-ray, which will not cause damage to biological tissue, and is less harmful to the human body. Therefore, microwave-based security imaging has gradually become the most mainstream human security imaging method, and has a very broad application prospect.

毫米波成像系统按成像方式可以分为两类系统,一类是被动式毫米波成像系统,其通过检测人体辐射出来的毫米波进行人体成像;另一类是主动式毫米波成像系统,基于合成孔径雷达成像技术,通过向人体主动发射毫米波信号,然后对接收到的反射回波信号进行信号处理后,实现实时三维成像并进行异物检测。主动式成像系统能够更清晰的进行人体成像,成像过程快速安全,是安检成像系统的主流技术。Millimeter wave imaging systems can be divided into two types according to the imaging method. One is passive millimeter wave imaging system, which performs human imaging by detecting millimeter waves radiated from the human body; the other is active millimeter wave imaging system, which is based on synthetic aperture. Radar imaging technology realizes real-time three-dimensional imaging and foreign object detection by actively transmitting millimeter wave signals to the human body, and then performing signal processing on the received reflected echo signals. The active imaging system can image the human body more clearly, and the imaging process is fast and safe. It is the mainstream technology of the security inspection imaging system.

毫米波主动式安检仪可以采用水平方向的圆周式扫描和竖直方向的雷达孔径合成的SAR扫描模式来进行三维成像。在安检仪系统中,在竖直方向上用的是条带式扫描模式,可以实现竖直方向上的高分辨率;在水平方向上用的是圆周式扫描模式,可以提高水平方向上的分辨率,同时得到扫描目标的三维图像。The millimeter-wave active security detector can perform three-dimensional imaging by using the SAR scanning mode of horizontal circular scanning and vertical radar aperture synthesis. In the security inspection system, the strip scanning mode is used in the vertical direction, which can achieve high resolution in the vertical direction; the circular scanning mode is used in the horizontal direction, which can improve the resolution in the horizontal direction. At the same time, a three-dimensional image of the scanning target is obtained.

合成孔径雷达和普通雷达在系统结构和工作原理方面基本相同,不同的是合成孔径雷达相比于普通雷达,其接收的回波信号包含更多信息,因此可以通过对这些信息进行处理来进行雷达扫描目标的二维或三维成像。传统的合成孔径雷达的成像方法包括距离-多普勒(R-D)算法,线频调变标(Chirp Scaling,CS)算法等。Synthetic aperture radar and ordinary radar are basically the same in terms of system structure and working principle. The difference is that compared with ordinary radar, the echo signal received by synthetic aperture radar contains more information, so the radar can be processed by processing this information. 2D or 3D imaging of scanned targets. Traditional synthetic aperture radar imaging methods include range-Doppler (R-D) algorithm, Chirp Scaling (CS) algorithm and so on.

但是由于实际的安检仪成像系统存在系统误差,而且相比于普通的条带式扫描合成孔径雷达,圆周合成孔径雷达的回波信号的方位向和距离向之间存在耦合,因此传统的SAR成像方法不再适用。However, due to the existence of systematic errors in the actual imaging system of the security detector, and compared with the ordinary strip scanning synthetic aperture radar, there is coupling between the azimuth direction and the range direction of the echo signal of the circular synthetic aperture radar, so the traditional SAR imaging method no longer works.

发明内容SUMMARY OF THE INVENTION

本发明的目的是为解决由于实际的安检仪成像系统存在系统误差,且圆周合成孔径雷达的回波信号的方位向和距离向之间存在耦合,利用初始的回波数据以及传统的SAR成像方法已经无法进行成像的问题,而提出了一种基于实测数据的人体安检仪成像方法。The purpose of the present invention is to solve the problem that due to the existence of systematic errors in the imaging system of the actual security detector and the coupling between the azimuth direction and the range direction of the echo signal of the circular synthetic aperture radar, the initial echo data and the traditional SAR imaging method are used. The problem of imaging has been unable to be carried out, and an imaging method of human security checker based on measured data is proposed.

本发明为解决上述技术问题采取的技术方案是:一种基于实测数据的人体安检仪成像方法,该方法包括以下步骤:The technical solution adopted by the present invention to solve the above-mentioned technical problems is: a method for imaging a human body security detector based on actual measured data, the method comprises the following steps:

步骤一、采集安检仪发射的本振信号,并将本振信号与理想的LFM信号的共轭相乘,得到载频误差信号sΔ(t);Step 1: Collect the local oscillator signal transmitted by the security inspection instrument, and multiply the local oscillator signal with the conjugate of the ideal LFM signal to obtain the carrier frequency error signal s Δ (t);

步骤二、将载频误差信号sΔ(t)的相位Ψ通过低通滤波器,再使用多项式函数对经过低通滤波后的载频误差信号相位进行拟合,得到拟合平滑后的载频误差信号相位

Figure GDA0003497427340000021
Step 2: Pass the phase Ψ of the carrier frequency error signal s Δ (t) through a low-pass filter, and then use a polynomial function to fit the phase of the carrier frequency error signal after the low-pass filter, to obtain a fitted and smoothed carrier frequency Error signal phase
Figure GDA0003497427340000021

构造带有拟合平滑后的载频误差信号相位的LFM信号

Figure GDA0003497427340000022
根据构造的LFM信号
Figure GDA0003497427340000023
得到差频信号
Figure GDA0003497427340000024
Construct LFM signal with fitted and smoothed phase of carrier frequency error signal
Figure GDA0003497427340000022
According to the constructed LFM signal
Figure GDA0003497427340000023
get the difference frequency signal
Figure GDA0003497427340000024

步骤三、采集竖直放置在安检仪中心的金属板的回波信号,根据采集的回波信号来提取补偿参数,所述补偿参数包括各通道信号的通道间幅度补偿系数CAi,各通道信号的通道间频率补偿系数CFi和各通道信号的通道间常相位补偿系数CPi,其中,i代表第i个通道,i=1,2,…,N,N代表雷达通道数量;Step 3: Collect the echo signal of the metal plate vertically placed in the center of the security inspection instrument, and extract the compensation parameter according to the collected echo signal. The compensation parameter includes the inter-channel amplitude compensation coefficient C Ai of each channel signal, and each channel signal The inter-channel frequency compensation coefficient C Fi and the inter-channel constant phase compensation coefficient C Pi of each channel signal, where i represents the ith channel, i=1,2,...,N,N represents the number of radar channels;

步骤四、通过安检仪的空载成像来收集得到空间杂波信号sk1(t),在安检仪实际成像中,采集得到的人体回波信号为s1(t),分别对空间杂波信号sk1(t)的各通道内信号幅度进行函数拟合,得到对各通道内信号幅度的拟合结果;Step 4: Collect the space clutter signal s k1 (t) through the no-load imaging of the security inspection instrument. In the actual imaging of the security inspection instrument, the collected echo signal of the human body is s 1 (t). Perform function fitting on the signal amplitudes in each channel of s k1 (t) to obtain the fitting results of the signal amplitudes in each channel;

利用各通道内信号幅度的拟合结果分别补偿人体回波信号s1(t)和空间杂波信号sk1(t)对应通道内的幅度误差,即将人体回波信号s1(t)的第i个通道信号与对第i个通道内信号幅度的拟合结果Ampi(t)进行逐点相除,将空间杂波信号sk1(t)的第i个通道信号与对第i个通道内信号幅度的拟合结果Ampi(t)进行逐点相除:Use the fitting results of the signal amplitudes in each channel to compensate the amplitude errors in the corresponding channels of the human body echo signal s 1 (t) and the space clutter signal s k1 (t) respectively, that is, the first time of the human echo signal s 1 (t) The i channel signal and the fitting result Amp i (t) of the signal amplitude in the i channel are divided point by point, and the i channel signal of the space clutter signal sk1 (t) The fitting result Amp i (t) of the inner signal amplitude is divided point by point:

Figure GDA0003497427340000025
Figure GDA0003497427340000025

其中,s1i(t)代表人体回波信号s1(t)的第i个通道信号,sk1i(t)代表空间杂波信号sk1(t)的第i个通道信号,

Figure GDA0003497427340000026
代表对人体回波信号s1(t)第i个通道的幅度误差补偿结果,
Figure GDA0003497427340000027
代表对空间杂波信号sk1(t)第i个通道的幅度误差补偿结果;Among them, s 1i (t) represents the ith channel signal of the human body echo signal s 1 (t), sk1i (t) represents the ith channel signal of the space clutter signal sk1 (t),
Figure GDA0003497427340000026
represents the amplitude error compensation result of the ith channel of the human body echo signal s 1 (t),
Figure GDA0003497427340000027
represents the amplitude error compensation result of the ith channel of the space clutter signal sk1 (t);

Figure GDA0003497427340000031
Figure GDA0003497427340000031

Figure GDA0003497427340000032
代表通道内幅度误差补偿后的人体回波信号,
Figure GDA0003497427340000033
代表通道内幅度误差补偿后的空间杂波信号;
Figure GDA0003497427340000032
represents the echo signal of the human body after the amplitude error compensation in the channel,
Figure GDA0003497427340000033
Represents the space clutter signal after amplitude error compensation in the channel;

分别对信号

Figure GDA0003497427340000034
Figure GDA0003497427340000035
进行去除镜频,得到解析人体回波信号s2(t)和解析空间杂波信号sk2(t);signal separately
Figure GDA0003497427340000034
and
Figure GDA0003497427340000035
Remove the mirror frequency to obtain the analytical body echo signal s 2 (t) and the analytical space clutter signal s k2 (t);

步骤五、将步骤四得到的解析人体回波信号s2(t)和解析空间杂波信号sk2(t)相减得到包含扫描目标反射信息的信号s3(t),并利用步骤二获得的差频信号

Figure GDA0003497427340000036
对信号s3(t)进行载频校正,得到载频校正后的信号s4(t);Step 5. Subtract the analytic body echo signal s 2 (t) obtained in step 4 and the analytical space clutter signal s k2 (t) to obtain a signal s 3 (t) containing the reflection information of the scanning target, and obtain the signal s 3 (t) by using step 2 difference frequency signal
Figure GDA0003497427340000036
Perform carrier frequency correction on the signal s 3 (t) to obtain a carrier frequency corrected signal s 4 (t);

步骤六、采用步骤三提取的补偿系数对载频校正后的信号s4(t)进行补偿,得到补偿后的信号s5(t);Step 6, using the compensation coefficient extracted in step 3 to compensate the carrier frequency corrected signal s 4 (t) to obtain the compensated signal s 5 (t);

步骤七、使用三维BP算法对补偿后的信号s5(t)进行三维成像,再将三维成像结果进行二维投影,得到人体的二维图像。Step 7: Use the three-dimensional BP algorithm to perform three-dimensional imaging on the compensated signal s 5 (t), and then perform two-dimensional projection on the three-dimensional imaging result to obtain a two-dimensional image of the human body.

本发明的有益效果是:本发明提出了一种基于实测数据的人体安检仪成像方法,本发明将载频误差信号相位通过低通滤波器,并使用五次函数进行拟合,既能得到误差相位的基本特征,又排除了噪声的干扰。随后使用经过拟合平滑处理后的误差相位对回波信号进行载频校正,补偿了信号的载频误差。再使用回波信号本身特征进行通道内的回波幅度补偿;使用金属板的回波信号提取补偿参数,进行通道间的回波幅度、频率和常相位补偿。通过上述方法对初始的回波数据进行补偿后,最终为了克服圆周合成孔径雷达的回波信号的方位向和距离向之间存在耦合的问题,本发明使用后向投影成像算法得到人体的图像。The beneficial effects of the present invention are as follows: the present invention proposes an imaging method of a human body security detector based on measured data, the present invention passes the phase of the carrier frequency error signal through a low-pass filter, and uses a quintic function for fitting, so that the error can be obtained. The basic characteristics of the phase, but also exclude the interference of noise. Then, the carrier frequency correction of the echo signal is performed using the error phase after fitting and smoothing to compensate the carrier frequency error of the signal. Then use the echo signal itself to compensate the echo amplitude within the channel; use the echo signal of the metal plate to extract the compensation parameters, and perform the echo amplitude, frequency and constant phase compensation between the channels. After the initial echo data is compensated by the above method, in order to overcome the coupling problem between the azimuth direction and the range direction of the echo signal of the circular synthetic aperture radar, the present invention uses the back projection imaging algorithm to obtain the image of the human body.

附图说明Description of drawings

图1为本发明的一种基于实测数据的人体安检仪成像方法的流程图;Fig. 1 is a flow chart of a method for imaging a human body security checker based on measured data according to the present invention;

图2为实施例一中对原误差信号相位进行差分处理后的图像;FIG. 2 is an image obtained by performing differential processing on the phase of the original error signal in the first embodiment;

图3为实施例一中对经过低通滤波器后的误差信号相位进行差分处理后图像;3 is an image after differential processing is performed on the phase of the error signal after passing through the low-pass filter in the first embodiment;

图4为实施例一中对经过五次函数拟合后的误差信号相位进行差分处理后图像;4 is an image after differential processing is performed on the error signal phase after fifth-order function fitting in the first embodiment;

图5为实施例二中对回波原始信号进行距离压缩的结果图;FIG. 5 is a result diagram of performing distance compression on the echo original signal in the second embodiment;

图6为实施例二中对经过载频校正后的信号进行距离压缩的结果图;Fig. 6 is the result diagram of carrying out distance compression to the signal after carrier frequency correction in Embodiment 2;

图7为实施例二中对回波原始信号与空间杂波信号相减后得到的信号进行距离压缩的结果;Fig. 7 is the result of performing distance compression on the signal obtained after the echo original signal and the space clutter signal are subtracted in the second embodiment;

图8为实施例二中通过带通滤波器并补偿了通道间幅度误差后的信号图;Fig. 8 is the signal diagram after passing through the band-pass filter and compensating the amplitude error between the channels in the second embodiment;

图9为实施例二中补偿通道间频率误差后的信号图;Fig. 9 is the signal diagram after the frequency error between the compensation channels in the second embodiment;

图10为实施例二中补偿通道间常相位误差后的信号图;10 is a signal diagram after compensation of constant phase error between channels in the second embodiment;

图11a)为实施例三中第一组人体实际成像结果的主视图;Figure 11a) is a front view of the actual imaging results of the first group of human bodies in the third embodiment;

图11b)为实施例三中第一组人体实际成像结果的侧视图;Figure 11b) is a side view of the actual imaging results of the first group of human bodies in the third embodiment;

图11c)为实施例三中第一组人体实际成像结果的俯视图;Figure 11c) is a top view of the actual imaging results of the first group of human bodies in the third embodiment;

图12a)为实施例三中第二组人体实际成像结果的主视图;Figure 12a) is the front view of the actual imaging results of the second group of human bodies in the third embodiment;

图12b)为实施例三中第二组人体实际成像结果的侧视图;Figure 12b) is a side view of the actual imaging results of the second group of human bodies in the third embodiment;

图12c)为实施例三中第二组人体实际成像结果的俯视图;Figure 12c) is a top view of the actual imaging results of the second group of human bodies in the third embodiment;

图13a)为实施例三中第三组人体实际成像结果的主视图;Figure 13a) is the front view of the actual imaging results of the third group of human bodies in the third embodiment;

图13b)为实施例三中第三组人体实际成像结果的侧视图;Figure 13b) is a side view of the actual imaging results of the third group of human bodies in the third embodiment;

图13c)为实施例三中第三组人体实际成像结果的俯视图。FIG. 13 c ) is a top view of the actual imaging results of the third group of human bodies in the third embodiment.

具体实施方式Detailed ways

下面结合附图详细介绍本发明的具体实施方法。The specific implementation method of the present invention will be described in detail below with reference to the accompanying drawings.

具体实施方式一:结合图1说明本实施方式。本实施方式所述的一种基于实测数据的人体安检仪成像方法,该方法具体通过以下步骤实现:Embodiment 1: This embodiment is described with reference to FIG. 1 . A method for imaging a human body security detector based on measured data described in this embodiment is specifically implemented through the following steps:

步骤一、采集安检仪发射的本振信号,并将本振信号与理想的LFM信号(线性调频信号)的共轭相乘,得到载频误差信号sΔ(t);Step 1: Collect the local oscillator signal emitted by the security inspection instrument, and multiply the local oscillator signal with the conjugate of the ideal LFM signal (chirp signal) to obtain the carrier frequency error signal s Δ (t);

步骤二、将载频误差信号sΔ(t)的相位Ψ通过低通滤波器,再使用多项式函数对经过低通滤波后的载频误差信号相位进行拟合,得到拟合平滑后的载频误差信号相位

Figure GDA0003497427340000041
Step 2: Pass the phase Ψ of the carrier frequency error signal s Δ (t) through a low-pass filter, and then use a polynomial function to fit the phase of the carrier frequency error signal after the low-pass filter, to obtain a fitted and smoothed carrier frequency Error signal phase
Figure GDA0003497427340000041

构造带有拟合平滑后的载频误差信号相位的LFM信号

Figure GDA0003497427340000042
根据构造的LFM信号
Figure GDA0003497427340000043
得到差频信号
Figure GDA0003497427340000044
Construct LFM signal with fitted and smoothed phase of carrier frequency error signal
Figure GDA0003497427340000042
According to the constructed LFM signal
Figure GDA0003497427340000043
get the difference frequency signal
Figure GDA0003497427340000044

步骤三、采集竖直放置在安检仪中心的金属板的回波信号,根据采集的回波信号来提取补偿参数,所述补偿参数包括各通道信号的通道间幅度补偿系数CAi,各通道信号的通道间频率补偿系数CFi和各通道信号的通道间常相位补偿系数CPi,其中,i代表第i个通道,i=1,2,…,N,N代表雷达通道数量;Step 3: Collect the echo signal of the metal plate vertically placed in the center of the security inspection instrument, and extract the compensation parameter according to the collected echo signal. The compensation parameter includes the inter-channel amplitude compensation coefficient C Ai of each channel signal, and each channel signal The inter-channel frequency compensation coefficient C Fi and the inter-channel constant phase compensation coefficient C Pi of each channel signal, where i represents the ith channel, i=1,2,...,N,N represents the number of radar channels;

步骤四、由于安检仪成像过程中存在空间信号的干扰,严重影响成像质量,因此回波信号需要先减去空间杂波信号,才能用于后续的处理。Step 4. Since the interference of the space signal in the imaging process of the security detector will seriously affect the imaging quality, the echo signal needs to be subtracted from the space clutter signal before it can be used for subsequent processing.

通过安检仪的空载成像来收集得到空间杂波信号sk1(t),在安检仪实际成像中,采集得到的人体回波信号为s1(t),分别对空间杂波信号sk1(t)的各通道内信号幅度进行函数拟合,得到对各通道内信号幅度的拟合结果;The space clutter signal sk1 (t) is collected through the no-load imaging of the security detector. In the actual imaging of the security detector, the collected echo signal of the human body is s 1 (t). Perform function fitting on the signal amplitudes in each channel of t) to obtain the fitting results of the signal amplitudes in each channel;

利用各通道内信号幅度的拟合结果分别补偿人体回波信号s1(t)和空间杂波信号sk1(t)对应通道内的幅度误差,即将人体回波信号s1(t)的第i个通道信号与对第i个通道内信号幅度的拟合结果Ampi(t)进行逐点相除,将空间杂波信号sk1(t)的第i个通道信号与对第i个通道内信号幅度的拟合结果Ampi(t)进行逐点相除:Use the fitting results of the signal amplitudes in each channel to compensate the amplitude errors in the corresponding channels of the human body echo signal s 1 (t) and the space clutter signal s k1 (t) respectively, that is, the first time of the human echo signal s 1 (t) The i channel signal and the fitting result Amp i (t) of the signal amplitude in the i channel are divided point by point, and the i channel signal of the space clutter signal sk1 (t) The fitting result Amp i (t) of the inner signal amplitude is divided point by point:

Figure GDA0003497427340000051
Figure GDA0003497427340000051

其中,s1i(t)代表人体回波信号s1(t)的第i个通道信号,sk1i(t)代表空间杂波信号sk1(t)的第i个通道信号,

Figure GDA0003497427340000052
代表对人体回波信号s1(t)第i个通道的幅度误差补偿结果,
Figure GDA0003497427340000053
代表对空间杂波信号sk1(t)第i个通道的幅度误差补偿结果;Among them, s 1i (t) represents the ith channel signal of the human body echo signal s 1 (t), sk1i (t) represents the ith channel signal of the space clutter signal sk1 (t),
Figure GDA0003497427340000052
represents the amplitude error compensation result of the ith channel of the human body echo signal s 1 (t),
Figure GDA0003497427340000053
represents the amplitude error compensation result of the ith channel of the space clutter signal sk1 (t);

Figure GDA0003497427340000054
Figure GDA0003497427340000054

Figure GDA0003497427340000055
代表通道内幅度误差补偿后的人体回波信号,
Figure GDA0003497427340000056
代表通道内幅度误差补偿后的空间杂波信号;
Figure GDA0003497427340000055
represents the echo signal of the human body after the amplitude error compensation in the channel,
Figure GDA0003497427340000056
Represents the space clutter signal after amplitude error compensation in the channel;

分别对信号

Figure GDA0003497427340000057
Figure GDA0003497427340000058
进行去除镜频,得到解析人体回波信号s2(t)和解析空间杂波信号sk2(t);signal separately
Figure GDA0003497427340000057
and
Figure GDA0003497427340000058
Remove the mirror frequency to obtain the analytical body echo signal s 2 (t) and the analytical space clutter signal s k2 (t);

步骤五、将步骤四得到的解析人体回波信号s2(t)和解析空间杂波信号sk2(t)相减得到包含扫描目标反射信息的信号s3(t),并利用步骤二获得的差频信号

Figure GDA0003497427340000059
对信号s3(t)进行载频校正,得到载频校正后的信号s4(t);Step 5. Subtract the analytic body echo signal s 2 (t) obtained in step 4 and the analytical space clutter signal s k2 (t) to obtain a signal s 3 (t) containing the reflection information of the scanning target, and obtain the signal s 3 (t) by using step 2 difference frequency signal
Figure GDA0003497427340000059
Perform carrier frequency correction on the signal s 3 (t) to obtain a carrier frequency corrected signal s 4 (t);

步骤六、采用步骤三提取的补偿系数对载频校正后的信号s4(t)进行补偿,得到补偿后的信号s5(t);Step 6, using the compensation coefficient extracted in step 3 to compensate the carrier frequency corrected signal s 4 (t) to obtain the compensated signal s 5 (t);

步骤七、使用三维BP算法对补偿后的信号s5(t)进行三维成像,再将三维成像结果进行二维投影,得到人体的二维图像。Step 7: Use the three-dimensional BP algorithm to perform three-dimensional imaging on the compensated signal s 5 (t), and then perform two-dimensional projection on the three-dimensional imaging result to obtain a two-dimensional image of the human body.

由于安检仪雷达实际系统存在系统误差,其发射的并非标准的线性调频信号,因此需要对安检仪的接收信号进行载频校正,排除载频误差的影响。Due to the existence of systematic errors in the actual system of the security inspection instrument radar, the transmitted signal is not a standard linear frequency modulation signal, so it is necessary to perform carrier frequency correction on the received signal of the security inspection instrument to exclude the influence of the carrier frequency error.

本发明首先需要对回波信号分别进行通道内和通道间的补偿和校正。由于雷达结构内含有非线性器件,因此发射和接收单次回波信号时,信号的幅度和二次相位也会发生改变,因此需要进行通道内的幅度误差补偿和二次相位误差补偿;由于安检仪不同雷达通道间的系统特性不一致,因此不同通道间的信号也会存在幅度、频率及二次相位上的误差,所以还需要进行通道间的幅度误差、频率误差和常相位误差的补偿和校正。随后为了能够进行圆周SAR的成像,本发明采用了后向投影成像算法对补偿校正后的回波信号进行三维成像。The present invention firstly needs to perform compensation and correction in the channel and between the channels respectively for the echo signal. Since the radar structure contains nonlinear devices, when transmitting and receiving a single echo signal, the amplitude and secondary phase of the signal will also change, so it is necessary to perform amplitude error compensation and secondary phase error compensation in the channel; The system characteristics between different radar channels are inconsistent, so the signals between different channels will also have errors in amplitude, frequency and secondary phase, so it is necessary to compensate and correct the amplitude error, frequency error and constant phase error between channels. Then, in order to be able to perform the imaging of the circular SAR, the present invention adopts the back projection imaging algorithm to perform three-dimensional imaging of the echo signal after compensation and correction.

具体实施方式二:本实施方式与具体实施方式一不同的是:所述步骤一的具体过程为:Embodiment 2: The difference between this embodiment and Embodiment 1 is that the specific process of step 1 is:

采集安检仪发射的本振信号sref(t),本振信号sref(t)的形式为:Collect the local oscillator signal s ref (t) emitted by the security inspection instrument, and the form of the local oscillator signal s ref (t) is:

sref(t)=exp[j2π(fc+Δfr(t))t+jπγrt2]s ref (t)=exp[j2π(f c +Δf r (t))t+jπγ r t 2 ]

其中,j是虚数单位,γr代表调频率,fc为中频,Δfr(t)为本振信号的载频误差,t是时间;Among them, j is the imaginary unit, γ r represents the modulation frequency, f c is the intermediate frequency, Δf r (t) is the carrier frequency error of the local oscillator signal, and t is the time;

构造一个与本振信号频率范围一致的理想LFM信号sLFM(t):Construct an ideal LFM signal s LFM (t) that coincides with the frequency range of the LO signal:

sLFM(t)=exp(j2πfct+jπγrt2)s LFM (t)=exp(j2πf c t+jπγ r t 2 )

将本振信号与理想的LFM信号sLFM(t)的共轭相乘,得到载频误差信号sΔ(t):Multiply the LO signal by the conjugate of the ideal LFM signal s LFM (t) to obtain the carrier frequency error signal s Δ (t):

Figure GDA0003497427340000061
Figure GDA0003497427340000061

其中,

Figure GDA0003497427340000062
代表理想的LFM信号sLFM(t)的共轭。in,
Figure GDA0003497427340000062
represents the conjugate of the ideal LFM signal s LFM (t).

具体实施方式三:本实施方式与具体实施方式二不同的是:所述步骤二中,拟合平滑后的载频误差信号相位

Figure GDA0003497427340000063
的表达式为:Embodiment 3: The difference between this embodiment and Embodiment 2 is that in the second step, the phase of the smoothed carrier frequency error signal is fitted.
Figure GDA0003497427340000063
The expression is:

Figure GDA0003497427340000064
Figure GDA0003497427340000064

其中:a0、a1、an-1、an代表拟合平滑后的载频误差信号相位

Figure GDA0003497427340000065
的各项系数,n代表拟合平滑后的载频误差信号相位
Figure GDA0003497427340000071
最高次项的次数。Among them: a 0 , a 1 , a n-1 , a n represent the phase of the carrier frequency error signal after fitting and smoothing
Figure GDA0003497427340000065
The coefficients of , n represents the phase of the carrier frequency error signal after fitting and smoothing
Figure GDA0003497427340000071
The number of highest-order items.

取出载频误差信号的相位Ψ,通过低通滤波器。但是经过低通滤波的相位仍然包含有较多的噪声,因此还需要使用函数对其进行拟合,提取相位的基本特征,并剔除噪声。Take out the phase Ψ of the carrier frequency error signal and pass it through a low-pass filter. However, the low-pass filtered phase still contains a lot of noise, so it is necessary to use a function to fit it, extract the basic features of the phase, and remove the noise.

然而低次函数拟合效果较差,无法得到相位的基本特征;拟合函数次数过高又会导致过拟合,从而无法完全摆脱噪声的影响。经过试验,五次函数的拟合效果最好,既能得到相位的基本特征,受到噪声的影响又较小。因此使用五次函数对经过低通滤波后的信号相位进行拟合,得到拟合平滑后的误差信号相位

Figure GDA0003497427340000072
所以,在本发明中,拟合平滑后的载频误差信号相位
Figure GDA0003497427340000073
最高次项的次数n的取值为5。However, the fitting effect of the low-order function is poor, and the basic characteristics of the phase cannot be obtained; if the fitting function is too high, it will lead to over-fitting, so it cannot completely get rid of the influence of noise. After experiments, the fitting effect of the quintic function is the best, which can obtain the basic characteristics of the phase, and is less affected by noise. Therefore, the quintic function is used to fit the phase of the low-pass filtered signal to obtain the phase of the error signal after fitting and smoothing.
Figure GDA0003497427340000072
Therefore, in the present invention, the phase of the smoothed carrier frequency error signal is fitted
Figure GDA0003497427340000073
The value of the number n of the highest order item is 5.

具体实施方式四:本实施方式与具体实施方式三不同的是:所述步骤二中,构造带有拟合平滑后的载频误差信号相位的LFM信号

Figure GDA0003497427340000074
根据构造的LFM信号
Figure GDA0003497427340000075
得到差频信号
Figure GDA0003497427340000076
其具体过程为:Embodiment 4: The difference between this embodiment and Embodiment 3 is that in the second step, an LFM signal with the phase of the carrier frequency error signal after fitting and smoothing is constructed.
Figure GDA0003497427340000074
According to the constructed LFM signal
Figure GDA0003497427340000075
get the difference frequency signal
Figure GDA0003497427340000076
The specific process is:

构造的带有拟合平滑后的载频误差信号相位的LFM信号

Figure GDA0003497427340000077
的形式为:Constructed LFM signal with fitted smoothed carrier frequency error signal phase
Figure GDA0003497427340000077
of the form:

Figure GDA0003497427340000078
Figure GDA0003497427340000078

Figure GDA0003497427340000079
代表本振信号的载频误差的估计值;
Figure GDA0003497427340000079
represents the estimated value of the carrier frequency error of the local oscillator signal;

Figure GDA00034974273400000710
进行tr的时延,tr=2R/c,得到时延后的信号
Figure GDA00034974273400000711
right
Figure GDA00034974273400000710
Carry out the time delay of t r , t r =2R/c, and obtain the delayed signal
Figure GDA00034974273400000711

Figure GDA00034974273400000712
Figure GDA00034974273400000712

其中,R为安检仪半径,c代表光速;Among them, R is the radius of the security detector, and c is the speed of light;

并将时延后的信号

Figure GDA00034974273400000713
的共轭与LFM信号
Figure GDA00034974273400000714
相乘,得到差频信号
Figure GDA00034974273400000715
and delay the signal
Figure GDA00034974273400000713
The conjugate with the LFM signal
Figure GDA00034974273400000714
Multiply to get the difference frequency signal
Figure GDA00034974273400000715

Figure GDA00034974273400000716
Figure GDA00034974273400000716

其中,

Figure GDA00034974273400000717
代表时延后的信号
Figure GDA00034974273400000718
的共轭。in,
Figure GDA00034974273400000717
Represents a delayed signal
Figure GDA00034974273400000718
the conjugate.

具体实施方式五:本实施方式与具体实施方式四不同的是:所述步骤三的具体过程为:Embodiment 5: The difference between this embodiment and Embodiment 4 is that the specific process of the third step is:

首先对每个通道的回波信号按慢时间进行相干叠加,以排除随机噪声的干扰。First, the echo signals of each channel are coherently superimposed at a slow time to exclude the interference of random noise.

将金属板采集到的各个通道的时域回波信号变换到频域,得到各个通道的频域信号,对于第i个通道,将该通道的频域信号按频率进行幅度值的叠加,得到第i个通道对应的信号叠加后的幅度值为Ai,设各个通道对应的信号叠加后幅度值的平均值为Aave,则第i个通道信号的通道间幅度补偿系数CAi为:CAi=Aave/AiTransform the time domain echo signals of each channel collected by the metal plate into the frequency domain, and obtain the frequency domain signal of each channel. The amplitude value of the superimposed signals corresponding to the i channels is A i , and the average value of the superimposed amplitude values of the signals corresponding to each channel is set to be A ave , then the inter-channel amplitude compensation coefficient C Ai of the i-th channel signal is: C Ai =A ave /A i ;

分别提取金属板采集到的各个通道的时域回波信号的相位,并分别对每个通道的时域回波信号的相位求一阶导数,分别得到每个通道所各自对应的一阶导数结果;Extract the phase of the time-domain echo signals of each channel collected by the metal plate, and obtain the first-order derivative of the phase of the time-domain echo signal of each channel, respectively, and obtain the corresponding first-order derivative results of each channel. ;

对于第i个通道,对该通道所对应的一阶导数结果取平均,将取平均结果作为该通道的频率Fi;同理,分别得到每个通道的频率,各个通道的频率的均值为Fave,则第i个通道信号的通道间频率补偿系数CFi为:CFi=Fave-FiFor the i-th channel, the first derivative results corresponding to the channel are averaged, and the averaged result is taken as the frequency F i of the channel; in the same way, the frequency of each channel is obtained separately, and the average of the frequencies of each channel is F ave , then the inter-channel frequency compensation coefficient C Fi of the i -th channel signal is: C Fi =F ave -Fi ;

随机选定一个通道作为参考通道,再将第i个通道的时域回波信号和参考通道的时域回波信号的共轭相乘,得到第i个通道相对于参考通道的常相位误差Pi,将Pi作为第i个通道信号的通道间常相位补偿系数CPi,即CPi=PiRandomly select a channel as the reference channel, and then multiply the conjugate of the time domain echo signal of the ith channel and the time domain echo signal of the reference channel to obtain the constant phase error P of the ith channel relative to the reference channel i , take Pi as the inter-channel constant phase compensation coefficient C Pi of the i -th channel signal, that is, C Pi =P i .

具体实施方式六:本实施方式与具体实施方式五不同的是:所述步骤四中,得到的对各通道内信号幅度的拟合结果的表达式为:Embodiment 6: The difference between this embodiment and Embodiment 5 is that in the step 4, the obtained expression for the fitting result of the signal amplitude in each channel is:

Ampi(t)=bmtm+bm-1tm-1+…b1t+b0 Amp i (t)=b m t m +b m-1 t m-1 +...b 1 t+b 0

其中,Ampi(t)代表对第i个通道内信号幅度的拟合结果,b0、b1、bm-1、bm代表对第i个通道内信号幅度的拟合结果的各项系数,m代表拟合结果Ampi(t)的最高次项的次数。Among them, Amp i (t) represents the fitting result of the signal amplitude in the ith channel, and b 0 , b 1 , b m-1 , and b m represent the fitting results of the signal amplitude in the ith channel. Coefficient, m represents the degree of the highest order term of the fitting result Amp i (t).

具体实施方式七:本实施方式与具体实施方式六不同的是:所述步骤五的具体过程为:Embodiment 7: The difference between this embodiment and Embodiment 6 is that the specific process of the fifth step is:

将解析人体回波信号s2(t)和解析空间杂波信号sk2(t)相减,得到包含扫描目标反射信息的信号s3(t):The analytical body echo signal s 2 (t) and the analytical space clutter signal s k2 (t) are subtracted to obtain the signal s 3 (t) containing the reflection information of the scanning target:

s3(t)=s2(t)-sk2(t)s 3 (t)=s 2 (t)-s k2 (t)

再将步骤二得到的差频信号

Figure GDA0003497427340000081
与信号s3(t)的共轭相乘,完成对信号s3(t)的载频校正;Then the difference frequency signal obtained in step 2
Figure GDA0003497427340000081
Multiply with the conjugate of the signal s 3 (t) to complete the carrier frequency correction of the signal s 3 (t);

Figure GDA0003497427340000082
Figure GDA0003497427340000082

其中,

Figure GDA0003497427340000083
代表s3(t)的共轭,s4(t)代表载频校正后的信号。in,
Figure GDA0003497427340000083
represents the conjugate of s 3 (t), and s 4 (t) represents the carrier frequency corrected signal.

具体实施方式八:本实施方式与具体实施方式七不同的是:所述步骤六的具体过程为:Embodiment 8: The difference between this embodiment and Embodiment 7 is that the specific process of the step 6 is:

载频校正后的各个通道信号分别乘以对应该通道的通道间幅度补偿系数,获得通道间幅度补偿后的信号;Each channel signal after carrier frequency correction is multiplied by the inter-channel amplitude compensation coefficient corresponding to the channel to obtain the signal after inter-channel amplitude compensation;

通道间幅度补偿后的各个通道信号分别乘以由对应通道的通道间频率补偿系数CFi构成的信号exp(j2πCFit),获得通道间频率补偿后的信号,信号exp(j2πCFit)的频率为通道间频率补偿系数CFiEach channel signal after amplitude compensation between channels is multiplied by the signal exp(j2πC Fi t) composed of the inter-channel frequency compensation coefficient C Fi of the corresponding channel to obtain the signal after frequency compensation between channels. The signal exp(j2πC Fi t) is The frequency is the inter-channel frequency compensation coefficient C Fi ;

通道间频率补偿后的各个通道信号在时域上分别乘以该通道对应的常相位补偿因子exp(-jCPi),最终得到补偿后的信号s5(t);Each channel signal after frequency compensation between channels is multiplied by the constant phase compensation factor exp(-jC Pi ) corresponding to the channel in the time domain, and finally the compensated signal s 5 (t) is obtained;

s4(t)=[s41(t),s42(t),…,s4i(t),…,s4N(t)]s 4 (t) = [s 41 (t), s 42 (t), ..., s 4i (t), ..., s 4N (t)]

s5i(t)=exp(-jCPi)·[exp(j2πCFit)·(CAi·s4i(t))]s 5i (t)=exp(-jC Pi )·[exp(j2πC Fi t)·(C Ai ·s 4i (t))]

s5(t)=[s51(t),s52(t),…,s5i(t),…s5N(t)]s 5 (t)=[s 51 (t),s 52 (t),…,s 5i (t),…s 5N (t)]

其中,s4i(t)是s4(t)中第i个通道的信号,s5i(t)是s5(t)中第i个通道的信号,补偿后信号s5(t)的各个通道信号对应的幅度值均为Aave,各个通道信号的中心频率均为Fave,各个通道信号相对于参考通道信号的常相位误差均为0。Among them, s 4i (t) is the signal of the ith channel in s 4 (t), s 5i (t) is the signal of the ith channel in s 5 (t), and each signal of the compensated signal s 5 (t) The amplitude values corresponding to the channel signals are all A ave , the center frequency of each channel signal is F ave , and the constant phase error of each channel signal relative to the reference channel signal is 0.

具体实施方式九:本实施方式与具体实施方式八不同的是:所述步骤七的具体过程为:Embodiment 9: The difference between this embodiment and Embodiment 8 is that the specific process of the step 7 is:

步骤七一:根据安检仪扫描的方位向、俯仰向和距离向分辨率对成像区域进行网格化(方位向×俯仰向×距离向);Step 71: Gridize the imaging area according to the azimuth, elevation and range resolutions scanned by the security checker (azimuth × pitch × range);

步骤七二:将补偿后的信号s5(t)变换到频域;Step 72: Transform the compensated signal s 5 (t) into the frequency domain;

步骤七三:当雷达阵列在圆周扫描的起始位置时,对竖直方向上第1个通道的雷达回波信号使用后向投影算法,计算第1个通道与第j个网格点的距离Rj,j=1,2,…,J,J代表网格点的总数,则第j个网格点对应的双程时延Δt为:Δt=2Rj/c,得到第j个网格点双程时延对应在信号频域坐标轴上的位置,再找出该坐标位置对应的频域回波值;Step 73: When the radar array is at the starting position of the circular scan, use the back projection algorithm for the radar echo signal of the first channel in the vertical direction to calculate the distance between the first channel and the jth grid point R j , j=1,2,...,J, J represents the total number of grid points, then the two-way delay Δt corresponding to the jth grid point is: Δt=2R j /c, and the jth grid point double The process delay corresponds to the position on the signal frequency domain coordinate axis, and then find the frequency domain echo value corresponding to the coordinate position;

将找出的频域回波值乘以系数exp(j2πfcΔt),获得相位补偿后的频域回波值;Multiply the found frequency domain echo value by the coefficient exp(j2πf c Δt) to obtain the frequency domain echo value after phase compensation;

步骤七四:对于雷达阵列在圆周扫描的起始位置时的其它各个通道,均重复步骤七三的操作;Step 74: Repeat the operation of Step 73 for every other channel of the radar array at the starting position of the circular scan;

步骤七五:对于第j个网格点,将该网格点在所有通道上获得的相位补偿后频域回波值进行叠加,获得叠加后的频域回波值;Step 75: For the jth grid point, superimpose the frequency domain echo values after phase compensation obtained by the grid point on all channels to obtain the superimposed frequency domain echo values;

步骤七六:当雷达阵列在圆周扫描的其它位置时,均重复步骤七三至步骤七五的操作;Step 76: When the radar array is in other positions of the circular scan, repeat the operations from Step 73 to Step 75;

步骤七七、再对第j个网格点在圆周扫描各个位置所对应的叠加后频域回波值进行叠加,获得第j个网格点对应的叠加后的三维数据;Step 77: Superimpose the superimposed frequency domain echo values corresponding to each position of the jth grid point in the circular scan to obtain the superimposed three-dimensional data corresponding to the jth grid point;

对第j个网格点对应的叠加后三维数据取绝对值,得到第j个网格点的能量,全部网格点的能量组成三维成像结果;The absolute value of the superimposed 3D data corresponding to the jth grid point is obtained, the energy of the jth grid point is obtained, and the energy of all grid points constitutes the 3D imaging result;

将三维成像结果分别向水平面以及两个相互垂直的竖直面进行二维投影,得到人体的二维图像。The three-dimensional imaging results are respectively projected onto the horizontal plane and two mutually perpendicular vertical planes to obtain a two-dimensional image of the human body.

下面通过以下实施例验证本发明的有益效果。The beneficial effects of the present invention are verified by the following examples.

实施例一:Example 1:

本实施例旨在展示本发明中载频校正方法的实施效果。图2至图4分别是原误差信号的相位差分处理后的图像,相位经过低通滤波器后的差分图像,以及相位经过五次函数拟合后的差分图像。可以看到经过低通滤波和函数拟合后,能够提取得到误差信号相位的特征并且减小了噪声的干扰。This embodiment aims to demonstrate the implementation effect of the carrier frequency correction method in the present invention. Figures 2 to 4 are respectively the image of the original error signal after phase difference processing, the difference image after the phase is subjected to a low-pass filter, and the difference image after the phase is fitted by a quintic function. It can be seen that after low-pass filtering and function fitting, the phase characteristics of the error signal can be extracted and the interference of noise can be reduced.

实施例二:Embodiment 2:

本实施例旨在展示本发明中误差补偿方法的实施效果。This embodiment is intended to demonstrate the implementation effect of the error compensation method in the present invention.

在实际的安检仪成像系统中,安检仪扫描半径为0.68米,高度为2米。竖直方向上的天线阵列分时工作,得到竖直方向上的回波数据;同时天线阵列沿水平方向进行圆周旋转并扫描,得到在不同角度的回波数据。In the actual security scanner imaging system, the security scanner scanning radius is 0.68 meters and the height is 2 meters. The antenna array in the vertical direction works in time division to obtain echo data in the vertical direction; at the same time, the antenna array rotates and scans in a circle along the horizontal direction to obtain echo data at different angles.

在安检仪中心竖直放置金属板,采集金属板的回波信号,并通过该回波信号得到安检仪回波数据的补偿参数。随后使用安检仪对人体进行扫描,并通过补偿参数对实际的回波数据进行补偿,得到补偿后的结果。A metal plate is placed vertically in the center of the security inspection device, the echo signal of the metal plate is collected, and the compensation parameters of the echo data of the security inspection device are obtained through the echo signal. Then, the human body is scanned by the security checker, and the actual echo data is compensated by the compensation parameters, and the compensated result is obtained.

图5为对回波原始信号进行距离压缩的结果图像,图6为对经过载频校正后的信号进行距离压缩的结果图像,图7为对回波原始信号与空间杂波信号相减后得到的信号进行距离压缩的结果图像,图8为通过带通滤波器并补偿了通道间频率误差后的信号图,图9为补偿通道间频率误差后的信号图,图10为补偿通道间常相位误差后的信号图;Figure 5 is the result image of distance compression of the original echo signal, Figure 6 is the result image of the distance compression of the signal after carrier frequency correction, and Figure 7 is the result obtained by subtracting the original echo signal and the space clutter signal The result image of distance compression of the signal of , Figure 8 is the signal diagram after passing the band-pass filter and compensating the frequency error between channels, Figure 9 is the signal diagram after compensating the frequency error between channels, and Figure 10 is the constant phase compensation between channels Signal diagram after error;

实施例三:Embodiment three:

本实施例旨在展示本发明方法的实际成像效果。This embodiment is intended to demonstrate the actual imaging effect of the method of the present invention.

对校正和补偿后的人体回波数据进行三维成像,得到人体扫描成像结果。Perform three-dimensional imaging on the corrected and compensated human body echo data to obtain a human body scanning imaging result.

图11a)至图11c)为第一组人体实际成像结果;图12a)至图12c)为第二组人体实际成像结果;图13a)至图13c)为第三组人体实际成像结果。Figures 11a) to 11c) are the first group of actual human imaging results; Figures 12a) to 12c) are the second group of actual human imaging results; Figures 13a) to 13c) are the third group of actual human imaging results.

本发明的上述算例仅为详细地说明本发明的计算模型和计算流程,而并非是对本发明的实施方式的限定。对于所属领域的普通技术人员来说,在上述说明的基础上还可以做出其它不同形式的变化或变动,这里无法对所有的实施方式予以穷举,凡是属于本发明的技术方案所引伸出的显而易见的变化或变动仍处于本发明的保护范围之列。The above calculation examples of the present invention are only to illustrate the calculation model and calculation process of the present invention in detail, but are not intended to limit the embodiments of the present invention. For those of ordinary skill in the art, on the basis of the above description, other different forms of changes or changes can also be made, and it is impossible to list all the embodiments here. Obvious changes or modifications are still within the scope of the present invention.

Claims (9)

1.一种基于实测数据的人体安检仪成像方法,其特征在于,该方法包括以下步骤:1. a human body security inspection instrument imaging method based on measured data, is characterized in that, this method comprises the following steps: 步骤一、采集安检仪发射的本振信号,并将本振信号与理想的LFM信号的共轭相乘,得到载频误差信号sΔ(t);Step 1: Collect the local oscillator signal transmitted by the security inspection instrument, and multiply the local oscillator signal with the conjugate of the ideal LFM signal to obtain the carrier frequency error signal s Δ (t); 步骤二、将载频误差信号sΔ(t)的相位Ψ通过低通滤波器,再对经过低通滤波后的载频误差信号相位进行拟合,得到拟合平滑后的载频误差信号相位
Figure FDA0003497427330000011
Step 2: Pass the phase Ψ of the carrier frequency error signal s Δ (t) through the low-pass filter, and then fit the phase of the carrier frequency error signal after the low-pass filter to obtain the phase of the carrier frequency error signal after fitting and smoothing.
Figure FDA0003497427330000011
构造带有拟合平滑后的载频误差信号相位的LFM信号
Figure FDA0003497427330000012
根据构造的LFM信号
Figure FDA0003497427330000013
得到差频信号
Figure FDA0003497427330000014
Construct LFM signal with fitted and smoothed phase of carrier frequency error signal
Figure FDA0003497427330000012
According to the constructed LFM signal
Figure FDA0003497427330000013
get the difference frequency signal
Figure FDA0003497427330000014
步骤三、采集竖直放置在安检仪中心的金属板的回波信号,根据采集的回波信号来提取补偿参数,所述补偿参数包括各通道信号的通道间幅度补偿系数CAi,各通道信号的通道间频率补偿系数CFi和各通道信号的通道间常相位补偿系数CPi,其中,i代表第i个通道,i=1,2,…,N,N代表雷达通道数量;Step 3: Collect the echo signal of the metal plate vertically placed in the center of the security inspection instrument, and extract the compensation parameter according to the collected echo signal. The compensation parameter includes the inter-channel amplitude compensation coefficient C Ai of each channel signal, and each channel signal The inter-channel frequency compensation coefficient C Fi and the inter-channel constant phase compensation coefficient C Pi of each channel signal, where i represents the ith channel, i=1,2,...,N,N represents the number of radar channels; 步骤四、通过安检仪的空载成像来收集得到空间杂波信号sk1(t),在安检仪实际成像中,采集得到的人体回波信号为s1(t),分别对空间杂波信号sk1(t)的各通道内信号幅度进行函数拟合,得到对各通道内信号幅度的拟合结果;Step 4: Collect the space clutter signal s k1 (t) through the no-load imaging of the security inspection instrument. In the actual imaging of the security inspection instrument, the collected echo signal of the human body is s 1 (t). Perform function fitting on the signal amplitudes in each channel of s k1 (t) to obtain the fitting results of the signal amplitudes in each channel; 利用各通道内信号幅度的拟合结果分别补偿人体回波信号s1(t)和空间杂波信号sk1(t)对应通道内的幅度误差,即将人体回波信号s1(t)的第i个通道信号与对第i个通道内信号幅度的拟合结果Ampi(t)进行逐点相除,将空间杂波信号sk1(t)的第i个通道信号与对第i个通道内信号幅度的拟合结果Ampi(t)进行逐点相除:Use the fitting results of the signal amplitudes in each channel to compensate the amplitude errors in the corresponding channels of the human body echo signal s 1 (t) and the space clutter signal s k1 (t) respectively, that is, the first time of the human echo signal s 1 (t) The i channel signal and the fitting result Amp i (t) of the signal amplitude in the i channel are divided point by point, and the i channel signal of the space clutter signal sk1 (t) The fitting result Amp i (t) of the inner signal amplitude is divided point by point:
Figure FDA0003497427330000015
Figure FDA0003497427330000015
Figure FDA0003497427330000016
Figure FDA0003497427330000016
其中,s1i(t)代表人体回波信号s1(t)的第i个通道信号,sk1i(t)代表空间杂波信号sk1(t)的第i个通道信号,
Figure FDA0003497427330000017
代表对人体回波信号s1(t)第i个通道的幅度误差补偿结果,
Figure FDA0003497427330000018
代表对空间杂波信号sk1(t)第i个通道的幅度误差补偿结果;
Among them, s 1i (t) represents the ith channel signal of the human body echo signal s 1 (t), sk1i (t) represents the ith channel signal of the space clutter signal sk1 (t),
Figure FDA0003497427330000017
represents the amplitude error compensation result of the ith channel of the human body echo signal s 1 (t),
Figure FDA0003497427330000018
represents the amplitude error compensation result of the ith channel of the space clutter signal sk1 (t);
Figure FDA0003497427330000021
Figure FDA0003497427330000021
Figure FDA0003497427330000022
Figure FDA0003497427330000022
Figure FDA0003497427330000023
代表通道内幅度误差补偿后的人体回波信号,
Figure FDA0003497427330000024
代表通道内幅度误差补偿后的空间杂波信号;
Figure FDA0003497427330000023
represents the echo signal of the human body after the amplitude error compensation in the channel,
Figure FDA0003497427330000024
Represents the space clutter signal after amplitude error compensation in the channel;
分别对信号
Figure FDA0003497427330000025
Figure FDA0003497427330000026
进行去除镜频,得到解析人体回波信号s2(t)和解析空间杂波信号sk2(t);
signal separately
Figure FDA0003497427330000025
and
Figure FDA0003497427330000026
Remove the mirror frequency to obtain the analytical body echo signal s 2 (t) and the analytical space clutter signal s k2 (t);
步骤五、将步骤四得到的解析人体回波信号s2(t)和解析空间杂波信号sk2(t)相减得到包含扫描目标反射信息的信号s3(t),并利用步骤二获得的差频信号
Figure FDA0003497427330000027
对信号s3(t)进行载频校正,得到载频校正后的信号s4(t);
Step 5. Subtract the analytic body echo signal s 2 (t) obtained in step 4 and the analytical space clutter signal s k2 (t) to obtain a signal s 3 (t) containing the reflection information of the scanning target, and obtain the signal s 3 (t) by using step 2 difference frequency signal
Figure FDA0003497427330000027
Perform carrier frequency correction on the signal s 3 (t) to obtain a carrier frequency corrected signal s 4 (t);
步骤六、采用步骤三提取的补偿系数对载频校正后的信号s4(t)进行补偿,得到补偿后的信号s5(t);Step 6, using the compensation coefficient extracted in step 3 to compensate the carrier frequency corrected signal s 4 (t) to obtain the compensated signal s 5 (t); 步骤七、使用三维BP算法对补偿后的信号s5(t)进行三维成像,再将三维成像结果进行二维投影,得到人体的二维图像。Step 7: Use the three-dimensional BP algorithm to perform three-dimensional imaging on the compensated signal s 5 (t), and then perform two-dimensional projection on the three-dimensional imaging result to obtain a two-dimensional image of the human body.
2.根据权利要求1所述的一种基于实测数据的人体安检仪成像方法,其特征在于,所述步骤一的具体过程为:2. a kind of human body security inspection instrument imaging method based on measured data according to claim 1, is characterized in that, the concrete process of described step 1 is: 采集安检仪发射的本振信号sref(t),本振信号sref(t)的形式为:Collect the local oscillator signal s ref (t) emitted by the security inspection instrument, and the form of the local oscillator signal s ref (t) is: sref(t)=exp[j2π(fc+Δfr(t))t+jπγrt2]s ref (t)=exp[j2π(f c +Δf r (t))t+jπγ r t 2 ] 其中,j是虚数单位,γr代表调频率,fc为中频,Δfr(t)为本振信号的载频误差,t是时间;Among them, j is the imaginary unit, γ r represents the modulation frequency, f c is the intermediate frequency, Δf r (t) is the carrier frequency error of the local oscillator signal, and t is the time; 构造一个与本振信号频率范围一致的理想LFM信号sLFM(t):Construct an ideal LFM signal s LFM (t) that coincides with the frequency range of the LO signal: sLFM(t)=exp(j2πfct+jπγrt2)s LFM (t)=exp(j2πf c t+jπγ r t 2 ) 将本振信号与理想的LFM信号sLFM(t)的共轭相乘,得到载频误差信号sΔ(t):Multiply the LO signal by the conjugate of the ideal LFM signal s LFM (t) to obtain the carrier frequency error signal s Δ (t):
Figure FDA0003497427330000028
Figure FDA0003497427330000028
其中,
Figure FDA0003497427330000029
代表理想的LFM信号sLFM(t)的共轭。
in,
Figure FDA0003497427330000029
represents the conjugate of the ideal LFM signal s LFM (t).
3.根据权利要求2所述的一种基于实测数据的人体安检仪成像方法,其特征在于,所述步骤二中,拟合平滑后的载频误差信号相位
Figure FDA0003497427330000031
的表达式为:
3. A kind of imaging method of human body security detector based on measured data according to claim 2, it is characterized in that, in described step 2, the phase of carrier frequency error signal after fitting and smoothing is
Figure FDA0003497427330000031
The expression is:
Figure FDA0003497427330000032
Figure FDA0003497427330000032
其中:a0、a1、an-1、an代表拟合平滑后的载频误差信号相位
Figure FDA0003497427330000033
的各项系数,n代表拟合平滑后的载频误差信号相位
Figure FDA0003497427330000034
最高次项的次数。
Among them: a 0 , a 1 , a n-1 , a n represent the phase of the carrier frequency error signal after fitting and smoothing
Figure FDA0003497427330000033
The coefficients of , n represents the phase of the carrier frequency error signal after fitting and smoothing
Figure FDA0003497427330000034
The number of highest-order items.
4.根据权利要求3所述的一种基于实测数据的人体安检仪成像方法,其特征在于,所述步骤二中,构造带有拟合平滑后的载频误差信号相位的LFM信号
Figure FDA0003497427330000035
根据构造的LFM信号
Figure FDA0003497427330000036
得到差频信号
Figure FDA0003497427330000037
其具体过程为:
4. a kind of human body security inspection instrument imaging method based on measured data according to claim 3, is characterized in that, in described step 2, construct the LFM signal with the carrier frequency error signal phase after fitting and smoothing
Figure FDA0003497427330000035
According to the constructed LFM signal
Figure FDA0003497427330000036
get the difference frequency signal
Figure FDA0003497427330000037
The specific process is:
构造的带有拟合平滑后的载频误差信号相位的LFM信号
Figure FDA0003497427330000038
的形式为:
Constructed LFM signal with fitted smoothed carrier frequency error signal phase
Figure FDA0003497427330000038
of the form:
Figure FDA0003497427330000039
Figure FDA0003497427330000039
Figure FDA00034974273300000310
代表本振信号的载频误差的估计值;
Figure FDA00034974273300000310
represents the estimated value of the carrier frequency error of the local oscillator signal;
Figure FDA00034974273300000311
进行tr的时延,tr=2R/c,得到时延后的信号
Figure FDA00034974273300000312
right
Figure FDA00034974273300000311
Carry out the time delay of t r , t r =2R/c, and obtain the delayed signal
Figure FDA00034974273300000312
Figure FDA00034974273300000313
Figure FDA00034974273300000313
其中,R为安检仪半径,c代表光速;Among them, R is the radius of the security detector, and c is the speed of light; 并将时延后的信号
Figure FDA00034974273300000314
的共轭与LFM信号
Figure FDA00034974273300000315
相乘,得到差频信号
Figure FDA00034974273300000316
and delay the signal
Figure FDA00034974273300000314
The conjugate with the LFM signal
Figure FDA00034974273300000315
Multiply to get the difference frequency signal
Figure FDA00034974273300000316
Figure FDA00034974273300000317
Figure FDA00034974273300000317
其中,
Figure FDA00034974273300000318
代表时延后的信号
Figure FDA00034974273300000319
的共轭。
in,
Figure FDA00034974273300000318
Represents a delayed signal
Figure FDA00034974273300000319
the conjugate.
5.根据权利要求4所述的一种基于实测数据的人体安检仪成像方法,其特征在于,所述步骤三的具体过程为:5. A kind of human body security inspection instrument imaging method based on measured data according to claim 4, is characterized in that, the concrete process of described step 3 is: 将金属板采集到的各个通道的时域回波信号变换到频域,得到各个通道的频域信号,对于第i个通道,将该通道的频域信号按频率进行幅度值的叠加,得到第i个通道对应的信号叠加后的幅度值为Ai,设各个通道对应的信号叠加后幅度值的平均值为Aave,则第i个通道信号的通道间幅度补偿系数CAi为:CAi=Aave/AiTransform the time domain echo signals of each channel collected by the metal plate into the frequency domain, and obtain the frequency domain signal of each channel. The amplitude value of the superimposed signals corresponding to the i channels is A i , and the average value of the superimposed amplitude values of the signals corresponding to each channel is set to be A ave , then the inter-channel amplitude compensation coefficient C Ai of the i-th channel signal is: C Ai =A ave /A i ; 分别提取金属板采集到的各个通道的时域回波信号的相位,并分别对每个通道的时域回波信号的相位求一阶导数,分别得到每个通道所各自对应的一阶导数结果;Extract the phase of the time-domain echo signals of each channel collected by the metal plate, and obtain the first-order derivative of the phase of the time-domain echo signal of each channel, respectively, and obtain the corresponding first-order derivative results of each channel. ; 对于第i个通道,对该通道所对应的一阶导数结果取平均,将取平均结果作为该通道的频率Fi;同理,分别得到每个通道的频率,各个通道的频率的均值为Fave,则第i个通道信号的通道间频率补偿系数CFi为:CFi=Fave-FiFor the i-th channel, the first derivative results corresponding to the channel are averaged, and the averaged result is taken as the frequency F i of the channel; in the same way, the frequency of each channel is obtained separately, and the average of the frequencies of each channel is F ave , then the inter-channel frequency compensation coefficient C Fi of the i -th channel signal is: C Fi =F ave -Fi ; 随机选定一个通道作为参考通道,再将第i个通道的时域回波信号和参考通道的时域回波信号的共轭相乘,得到第i个通道相对于参考通道的常相位误差Pi,将Pi作为第i个通道信号的通道间常相位补偿系数CPi,即CPi=PiRandomly select a channel as the reference channel, and then multiply the conjugate of the time domain echo signal of the ith channel and the time domain echo signal of the reference channel to obtain the constant phase error P of the ith channel relative to the reference channel i , take Pi as the inter-channel constant phase compensation coefficient C Pi of the i -th channel signal, that is, C Pi =P i . 6.根据权利要求5所述的一种基于实测数据的人体安检仪成像方法,其特征在于,所述步骤四中,得到的对各通道内信号幅度的拟合结果的表达式为:6. A kind of human body security inspection instrument imaging method based on actual measurement data according to claim 5, is characterized in that, in described step 4, the expression obtained to the fitting result of the signal amplitude in each channel is: Ampi(t)=bmtm+bm-1tm-1+…b1t+b0 Amp i (t)=b m t m +b m-1 t m-1 +...b 1 t+b 0 其中,Ampi(t)代表对第i个通道内信号幅度的拟合结果,b0、b1、bm-1、bm代表对第i个通道内信号幅度的拟合结果的各项系数,m代表拟合结果Ampi(t)的最高次项的次数。Among them, Amp i (t) represents the fitting result of the signal amplitude in the ith channel, and b 0 , b 1 , b m-1 , and b m represent the fitting results of the signal amplitude in the ith channel. Coefficient, m represents the degree of the highest order term of the fitting result Amp i (t). 7.根据权利要求6所述的一种基于实测数据的人体安检仪成像方法,其特征在于,所述步骤五的具体过程为:7. A kind of human body security inspection instrument imaging method based on measured data according to claim 6, is characterized in that, the concrete process of described step 5 is: 将解析人体回波信号s2(t)和解析空间杂波信号sk2(t)相减,得到包含扫描目标反射信息的信号s3(t):The analytical body echo signal s 2 (t) and the analytical space clutter signal s k2 (t) are subtracted to obtain the signal s 3 (t) containing the reflection information of the scanning target: s3(t)=s2(t)-sk2(t)s 3 (t)=s 2 (t)-s k2 (t) 再将步骤二得到的差频信号
Figure FDA0003497427330000041
与信号s3(t)的共轭相乘,完成对信号s3(t)的载频校正;
Then the difference frequency signal obtained in step 2
Figure FDA0003497427330000041
Multiply with the conjugate of the signal s 3 (t) to complete the carrier frequency correction of the signal s 3 (t);
Figure FDA0003497427330000042
Figure FDA0003497427330000042
其中,
Figure FDA0003497427330000043
代表s3(t)的共轭,s4(t)代表载频校正后的信号。
in,
Figure FDA0003497427330000043
represents the conjugate of s 3 (t), and s 4 (t) represents the carrier frequency corrected signal.
8.根据权利要求7所述的一种基于实测数据的人体安检仪成像方法,其特征在于,所述步骤六的具体过程为:8. A kind of human body security inspection device imaging method based on measured data according to claim 7, is characterized in that, the concrete process of described step 6 is: 载频校正后的各个通道信号分别乘以对应该通道的通道间幅度补偿系数,获得通道间幅度补偿后的信号;Each channel signal after carrier frequency correction is multiplied by the inter-channel amplitude compensation coefficient corresponding to the channel to obtain the signal after inter-channel amplitude compensation; 通道间幅度补偿后的各个通道信号分别乘以由对应通道的通道间频率补偿系数CFi构成的信号exp(j2πCFit),获得通道间频率补偿后的信号,信号exp(j2πCFit)的频率为通道间频率补偿系数CFiEach channel signal after amplitude compensation between channels is multiplied by the signal exp(j2πC Fi t) composed of the inter-channel frequency compensation coefficient C Fi of the corresponding channel to obtain the signal after frequency compensation between channels. The signal exp(j2πC Fi t) is The frequency is the inter-channel frequency compensation coefficient C Fi ; 通道间频率补偿后的各个通道信号在时域上分别乘以该通道对应的常相位补偿因子exp(-jCPi),最终得到补偿后的信号s5(t);Each channel signal after frequency compensation between channels is multiplied by the constant phase compensation factor exp(-jC Pi ) corresponding to the channel in the time domain, and finally the compensated signal s 5 (t) is obtained; s4(t)=[s41(t),s42(t),…,s4i(t),…,s4N(t)]s 4 (t) = [s 41 (t), s 42 (t), ..., s 4i (t), ..., s 4N (t)] s5i(t)=exp(-jCPi)·[exp(j2πCFit)·(CAi·s4i(t))]s 5i (t)=exp(-jC Pi )·[exp(j2πC Fi t)·(C Ai ·s 4i (t))] s5(t)=[s51(t),s52(t),…,s5i(t),…s5N(t)]s 5 (t)=[s 51 (t),s 52 (t),…,s 5i (t),…s 5N (t)] 其中,s4i(t)是s4(t)中第i个通道的信号,s5i(t)是s5(t)中第i个通道的信号,补偿后信号s5(t)的各个通道信号对应的幅度值均为Aave,各个通道信号的中心频率均为Fave,各个通道信号相对于参考通道信号的常相位误差均为0。Among them, s 4i (t) is the signal of the ith channel in s 4 (t), s 5i (t) is the signal of the ith channel in s 5 (t), and each signal of the compensated signal s 5 (t) The amplitude values corresponding to the channel signals are all A ave , the center frequency of each channel signal is F ave , and the constant phase error of each channel signal relative to the reference channel signal is 0. 9.根据权利要求8所述的一种基于实测数据的人体安检仪成像方法,其特征在于,所述步骤七的具体过程为:9. A kind of human body security inspection instrument imaging method based on measured data according to claim 8, is characterized in that, the concrete process of described step 7 is: 步骤七一:根据安检仪扫描的方位向、俯仰向和距离向分辨率对成像区域进行网格化;Step 71: Gridize the imaging area according to the azimuth, pitch and range resolutions scanned by the security checker; 步骤七二:将补偿后的信号s5(t)变换到频域;Step 72: Transform the compensated signal s 5 (t) into the frequency domain; 步骤七三:当雷达阵列在圆周扫描的起始位置时,对竖直方向上第1个通道的雷达回波信号使用后向投影算法,计算第1个通道与第j个网格点的距离Rj,j=1,2,…,J,J代表网格点的总数,则第j个网格点对应的双程时延Δt为:Δt=2Rj/c,得到第j个网格点双程时延对应在信号频域坐标轴上的位置,再找出该坐标位置对应的频域回波值;Step 73: When the radar array is at the starting position of the circular scan, use the back projection algorithm for the radar echo signal of the first channel in the vertical direction to calculate the distance between the first channel and the jth grid point R j , j=1,2,...,J, J represents the total number of grid points, then the two-way delay Δt corresponding to the jth grid point is: Δt=2R j /c, and the jth grid point double The process delay corresponds to the position on the signal frequency domain coordinate axis, and then find the frequency domain echo value corresponding to the coordinate position; 将找出的频域回波值乘以系数exp(j2πfcΔt),获得相位补偿后的频域回波值;Multiply the found frequency domain echo value by the coefficient exp(j2πf c Δt) to obtain the frequency domain echo value after phase compensation; 步骤七四:对于雷达阵列在圆周扫描的起始位置时的其它各个通道,均重复步骤七三的操作;Step 74: Repeat the operation of Step 73 for every other channel of the radar array at the starting position of the circular scan; 步骤七五:对于第j个网格点,将该网格点在所有通道上获得的相位补偿后频域回波值进行叠加,获得叠加后的频域回波值;Step 75: For the jth grid point, superimpose the frequency domain echo values after phase compensation obtained by the grid point on all channels to obtain the superimposed frequency domain echo values; 步骤七六:当雷达阵列在圆周扫描的其它位置时,均重复步骤七三至步骤七五的操作;Step 76: When the radar array is in other positions of the circular scan, repeat the operations from Step 73 to Step 75; 步骤七七、再对第j个网格点在圆周扫描各个位置所对应的叠加后频域回波值进行叠加,获得第j个网格点对应的叠加后的三维数据;Step 77: Superimpose the superimposed frequency domain echo values corresponding to each position of the jth grid point in the circular scan to obtain the superimposed three-dimensional data corresponding to the jth grid point; 对第j个网格点对应的叠加后三维数据取绝对值,得到第j个网格点的能量,全部网格点的能量组成三维成像结果;Taking the absolute value of the superimposed 3D data corresponding to the jth grid point, the energy of the jth grid point is obtained, and the energy of all grid points constitutes the 3D imaging result; 将三维成像结果分别向水平面以及两个相互垂直的竖直面进行二维投影,得到人体的二维图像。Two-dimensional projection of the three-dimensional imaging results to the horizontal plane and two mutually perpendicular vertical planes is performed to obtain a two-dimensional image of the human body.
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