CN106680795A - Time-domain modulation domain parameter combination measure method of frequency agile signal - Google Patents
Time-domain modulation domain parameter combination measure method of frequency agile signal Download PDFInfo
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Abstract
本发明公开了一种频率捷变信号的时域调制域参数联合测量方法,主要解决现有技术测量频率捷变信号参数精度低、运算量大的问题。其实现步骤是:1.通过信号分析仪获取频率捷变信号的实部虚部离散数值;2.根据该离散数值计算频率捷变信号的信号包络;3.由信号包络估计频率捷变信号的近似幅度;4.利用近似幅度设定判决门限,检测频率捷变信号的脉冲个数;5.计算各个脉冲的脉冲宽度;6.由脉冲个数、脉冲宽度计算出各项时域参数;7.在时域参数基础上计算频率捷变信号的瞬时频率;8.由瞬时频率计算出频率捷变信号的各项调制域参数。本发明方法具有运算量小,精度更高的优点,可用于雷达信号处理。
The invention discloses a time-domain modulation-domain parameter joint measurement method of a frequency-agile signal, which mainly solves the problems of low precision and large amount of computation in the prior art for measuring frequency-agile signal parameters. The implementation steps are: 1. Obtain the discrete value of the real part and imaginary part of the frequency-agile signal through a signal analyzer; 2. Calculate the signal envelope of the frequency-agile signal according to the discrete value; 3. Estimate the frequency agility from the signal envelope The approximate amplitude of the signal; 4. Use the approximate amplitude to set the judgment threshold to detect the number of pulses of the frequency-agile signal; 5. Calculate the pulse width of each pulse; 6. Calculate various time-domain parameters from the number of pulses and the pulse width ; 7. Calculate the instantaneous frequency of the frequency-agile signal on the basis of the time-domain parameters; 8. Calculate various modulation domain parameters of the frequency-agile signal from the instantaneous frequency. The method of the invention has the advantages of small calculation amount and higher precision, and can be used for radar signal processing.
Description
技术领域technical field
本发明涉及雷达技术领域,特别涉及一种频率捷变信号的时域调制域参数联合测量方法,可用于雷达信号处理。The invention relates to the technical field of radar, in particular to a method for joint measurement of time-domain modulation domain parameters of frequency-agile signals, which can be used for radar signal processing.
背景技术Background technique
频率捷变信号,是指雷达信号相邻脉冲的载频在一定频带内随机快速改变的一种信号类型。测量频率捷变信号的参数是雷达信号处理工程领域的重点之一。传统的测量方法仅针对时域或者调制域,未把时域和调制域结合在一起进行参数测量,而且测量频率捷变信号调制域参数需要进行时频分析,常用的时频分析方法,如短时傅里叶变换STFT和Wigner-Vile分布,它们在对频率捷变信号时频分析时存在着诸多缺陷。STFT存在着窗长和窗函数选择困难的问题,由于使用了傅里叶变换,运算量较大,而且不能解决时间分辨率和频率分辨率的矛盾。Wigner-Vile分布虽然不使用窗函数,不存在STFT的问题,但是对多分量信号进行时频分布时存在着“交叉项”干扰,时频分布将变得模糊,对频率估计不准,而且它采用了积分运算,运算量较大。Frequency agile signal refers to a signal type in which the carrier frequency of adjacent pulses of radar signals changes randomly and rapidly within a certain frequency band. Measuring the parameters of frequency-agile signals is one of the focuses in the field of radar signal processing engineering. The traditional measurement method is only for the time domain or the modulation domain, and does not combine the time domain and the modulation domain for parameter measurement, and the measurement of frequency-agile signal modulation domain parameters requires time-frequency analysis. Commonly used time-frequency analysis methods, such as short Time Fourier transform STFT and Wigner-Vile distribution, they have many defects in time-frequency analysis of frequency-agile signals. STFT has the problem of difficult selection of window length and window function. Due to the use of Fourier transform, the amount of calculation is large, and it cannot solve the contradiction between time resolution and frequency resolution. Although the Wigner-Vile distribution does not use a window function, there is no STFT problem, but there are "cross-term" interferences in the time-frequency distribution of multi-component signals, the time-frequency distribution will become blurred, and the frequency estimation is inaccurate, and it The integral operation is adopted, and the calculation amount is relatively large.
发明内容Contents of the invention
本发明的目的在于针对上述已有技术的不足,提出一种频率捷变信号的时域调制域参数联合测量方法,以减小运算量和误差,获得准确的捷变频率调制域参数,提高测量精度。The purpose of the present invention is to address the deficiencies of the above-mentioned prior art, and propose a method for joint measurement of time-domain modulation domain parameters of frequency-agile signals, so as to reduce the amount of calculation and error, obtain accurate frequency-agile modulation domain parameters, and improve measurement accuracy. precision.
实现本发明目的的技术思路是联合时域、调制域测量,时域分析时采用统计脉冲信号包络数值的方法估计判决门限,实现脉冲个数、脉冲宽度等时域参数的测量,在调制域分析时采用相位差分法来得到信号的瞬时频率曲线,获得准确的捷变频率等调制域参数,其技术步骤包括如下:The technical thought of realizing the object of the present invention is joint time domain, modulation domain measurement, adopts the method estimation judgment threshold of statistical pulse signal envelope value during time domain analysis, realizes the measurement of time domain parameters such as pulse number, pulse width, in modulation domain During the analysis, the phase difference method is used to obtain the instantaneous frequency curve of the signal, and to obtain accurate modulation domain parameters such as agile frequency. The technical steps include the following:
(1)测量频率捷变信号的离散数值;(1) Measure the discrete value of the frequency-agile signal;
1a)用信号分析仪读取得到待测量的频率捷变信号实部I(t)和虚部Q(t)的数值大小;1a) Read the numerical values of the real part I(t) and the imaginary part Q(t) of the frequency agility signal to be measured with a signal analyzer;
1b)设定采样率fs,抽样选取1秒时间长度的待测量的频率捷变信号实部和虚部,得到此频率捷变信号实部离散取值I(n)和虚部离散取值Q(n);1b) Set the sampling rate f s , select the real part and imaginary part of the frequency agility signal to be measured with a time length of 1 second, and obtain the discrete value I(n) of the real part and the discrete value of the imaginary part of the frequency agility signal Q(n);
(2)通过离散取值得到频率捷变信号的时域参数:(2) Obtain the time-domain parameters of the frequency-agile signal through discrete values:
(2a)根据频率捷变信号的实、虚部离散取值I(n)和Q(n),计算频率捷变信号包络:(2a) Calculate the frequency-agile signal envelope according to the discrete values I(n) and Q(n) of the real and imaginary parts of the frequency-agile signal:
(2b)根据频率捷变信号包络y(n)估计出频率捷变信号的近似顶值A'top和近似底值A'ba,得到近似幅度测量值为:A'=A'top-A'ba;(2b) Estimate the approximate top value A'top and the approximate bottom value A'ba of the frequency-agile signal according to the frequency-agile signal envelope y(n), and obtain the approximate amplitude measurement value: A'=A'top - A 'ba;
(2c)用10%的近似幅度测量值10%A'作为上升沿和下降沿的近似检测门限,检测得到频率捷变信号的脉冲个数n,用每个脉冲上升沿的近似检测门限所在的点数和下降沿的近似检测门限所在的点数分别除以采样率,得到相对应的每个脉冲的上升沿的近似判决时刻t′升和下降沿的近似判决时刻t′降,计算脉冲信号各个脉冲的脉冲宽度为:τ=t′升-t′降;(2c) Use 10% of the approximate amplitude measurement value 10%A' as the approximate detection threshold of the rising edge and falling edge, detect the pulse number n of the frequency agility signal, and use the approximate detection threshold of the rising edge of each pulse to be located The number of points and the approximate detection threshold of the falling edge are respectively divided by the sampling rate to obtain the approximate judgment time t' of the corresponding rising edge of each pulse and the approximate judgment time t' of the falling edge, and calculate each pulse of the pulse signal The pulse width is: τ = t' rise - t'fall;
(2d)在每个脉冲的脉冲宽度内,运用密度分布平均法,计算每个脉冲精确的顶值Atop和底值Aba,并求得每个脉冲精确幅度值A为:A=Atop-Aba;(2d) Within the pulse width of each pulse, use the density distribution average method to calculate the precise top value A top and bottom value A ba of each pulse, and obtain the precise amplitude value A of each pulse as: A=A top -A ba ;
(2e)根据每个脉冲的最大值Vmax和最小值Vmin,计算每个脉冲的过冲Sover和下冲Sunder:(2e) Calculate the overshoot S over and undershoot S under of each pulse according to the maximum value V max and the minimum value V min of each pulse:
Sover=Vmax-Atop,Sunder=Aba-Vmin,S over =V max -A top , S under =A ba -V min ,
(2f)根据频率捷变信号的每个脉冲精确的顶值Atop、底值Aba和精确幅度值A,计算频率捷变信号的脉冲幅度上参考线M上和脉冲幅度下参考线M下:(2f) According to the precise top value A top , bottom value A ba and precise amplitude value A of each pulse of the frequency-agile signal, calculate the pulse amplitude upper reference line Mupper and the pulse amplitude lower reference line Mlower of the frequency-agile signal :
M上=Aba+90%×A,M下=Aba+10%×A; Above M=A ba +90%×A, under M=A ba +10%×A;
(2g)根据频率捷变信号的脉冲幅度上参考线M上、脉冲幅度下参考线M下和脉冲宽度τ,在脉冲宽度内分别查找上升沿中脉冲幅度上参考线对应的时刻值tr上、脉冲幅度下参考线对应的时刻值tr下和下降沿中脉冲幅度上参考线对应的时刻值tf上、脉冲幅度下参考线对应的时刻值tf下,以及相邻下一次上升沿中脉冲幅度上参考线所对应的时刻t'r下,计算频率捷变信号脉冲的上升时间tr、下降时间tf,脉冲周期T,关闭时间toff和占空比dt:(2g) According to the upper reference line M of the pulse amplitude, the lower reference line M of the pulse amplitude and the pulse width τ of the frequency agility signal, search for the time value t r upper corresponding to the upper reference line of the pulse amplitude in the rising edge respectively within the pulse width , the time value t r lower corresponding to the pulse amplitude lower reference line and the time value t f upper corresponding to the pulse amplitude upper reference line in the falling edge, the time value t f lower corresponding to the pulse amplitude lower reference line, and the next rising edge At the moment t' r corresponding to the upper reference line of the medium pulse amplitude, calculate the rise time t r , fall time t f , pulse period T, off time t off and duty cycle d t of the frequency agility signal pulse:
tr=tr上-tr下,tf=tf下-tf上,T=t'r下-tr下,toff=T-τ,dt=τ/T;t r =t r up- t r down , t f =t f down -t f up , T=t' r down -t r down , t off =T-τ, d t =τ/T;
(3)通过离散取值得到频率捷变信号的调制域参数:(3) Obtain the modulation domain parameters of the frequency-agile signal through discrete values:
(3a)根据频率捷变信号的实、虚部离散取值I(n)和Q(n),计算频率捷变信号的瞬时相位: (3a) According to the discrete values I(n) and Q(n) of the real and imaginary parts of the frequency-agile signal, calculate the instantaneous phase of the frequency-agile signal:
(3b)根据频率捷变信号的瞬时相位采用相位差分法对频率捷变信号进行时频分析,得到频率捷变信号的瞬时频率:其中fs为信号的采样率;(3b) According to the instantaneous phase of the frequency-agile signal The time-frequency analysis of the frequency-agile signal is carried out by using the phase difference method, and the instantaneous frequency of the frequency-agile signal is obtained: Where f s is the sampling rate of the signal;
(3c)根据频率捷变信号的瞬时频率fc(n),计算频率捷变信号瞬时频率的平均值Favg;(3c) Calculate the average value F avg of the instantaneous frequency of the frequency-agile signal according to the instantaneous frequency f c (n) of the frequency-agile signal;
(3d)根据频率捷变信号瞬时频率的平均值Favg和脉冲个数n,统计频率捷变信号瞬时频率在平均值附近的个数N,若满足90%n≤N≤n,则判断该频率捷变信号的捷变方式为脉内捷变,否则判断为脉间捷变;(3d) According to the average value F avg of the instantaneous frequency of the frequency-agile signal and the number of pulses n, count the number N of the instantaneous frequency of the frequency-agile signal near the average value, and if it satisfies 90% n≤N≤n, then judge the The agility mode of the frequency agility signal is intra-pulse agility, otherwise it is judged as inter-pulse agility;
(3e)根据频率捷变信号实、虚部的离散取值I(n)和Q(n),分别对每个脉冲内的点的实部、虚部做快速傅里叶变换得到对应的实部I(ω)和虚部Q(ω),并计算其瞬时功率: (3e) According to the discrete values I(n) and Q(n) of the real and imaginary parts of the frequency-agile signal, respectively perform fast Fourier transform on the real and imaginary parts of the points in each pulse to obtain the corresponding real Part I(ω) and imaginary part Q(ω), and calculate its instantaneous power:
(3f)根据频率捷变信号的瞬时功率spec(ω),计算脉内捷变方式或脉间捷变方式的捷变个数C和捷变频率freq(i),i=1,2,…,C。(3f) According to the instantaneous power spec(ω) of the frequency agility signal, calculate the number C of agility and the frequency freq(i) of the intra-pulse agility or inter-pulse agility, i=1,2,... ,C.
本发明与现有技术相比具有如下优点:Compared with the prior art, the present invention has the following advantages:
1、本发明在估计脉冲的近似幅度的过程中,采用密度分布平均法来估计频率捷变信号的近似顶值A'top和近似底值A'ba,与现有的密度分布众数法相比精度更高,当频率捷变信号的采样点数越多时,脉冲包络最大值ymax和脉冲包络最小值ymin之间均分的区间个数越多,所求得的近似底值A'top和近似顶值A'ba越精确,可以满足更好的精度要求。1. In the process of estimating the approximate amplitude of the pulse, the present invention uses the density distribution average method to estimate the approximate top value A'top and the approximate bottom value A'ba of the frequency agility signal, compared with the existing density distribution mode method The accuracy is higher. When the number of sampling points of the frequency agile signal is more, the number of intervals equally divided between the maximum value of the pulse envelope y max and the minimum value of the pulse envelope y min is more, and the obtained approximate bottom value A' The more accurate top and the approximate top value A' ba are, the better accuracy requirements can be met.
2、本发明进行时频分析时采用相位差分法,相对于STFT法,运算量大大减小,而且没有窗函数,也不受测不准准则的限制;相对于Wigner-Vile分布法,没有“交叉项”的干扰问题,相对于其他方法,具有测量参数运算量小,误差小等优点,适合于工程实践。2. When the present invention carries out time-frequency analysis, the phase difference method is adopted. Compared with the STFT method, the amount of calculation is greatly reduced, and there is no window function, and is not limited by the uncertainty criterion; compared with the Wigner-Vile distribution method, there is no " Compared with other methods, it has the advantages of small calculation amount of measurement parameters and small error, and is suitable for engineering practice.
下面结合附图,对本发明做进一步详细描述。The present invention will be described in further detail below in conjunction with the accompanying drawings.
附图说明Description of drawings
图1是本发明的实现流程图;Fig. 1 is the realization flowchart of the present invention;
图2是用现有STFT方法对频率捷变信号进行时频分析的时频曲线图;Fig. 2 is the time-frequency curve diagram that carries out time-frequency analysis to frequency agile signal with existing STFT method;
图3是用现有Wigner-Vile方法对频率捷变信号进行时频分析的时频曲线图;Fig. 3 is the time-frequency curve diagram that carries out time-frequency analysis to frequency agile signal with existing Wigner-Vile method;
图4是用本发明方法进行时频分析的瞬时相位曲线及时频曲线图。Fig. 4 is the instantaneous phase curve and time-frequency curve diagram of time-frequency analysis by the method of the present invention.
具体实施方式detailed description
在雷达接收中,雷达回波的时域、调制域参数搭载了很多有用信息,而雷达回波的参数是未知的,并不能通过雷达接收天线直接获取。对于不同类型的雷达信号,其参数测量方法也不尽相同,频率捷变信号是雷达常用的一种发射信号,测量频率捷变信号参数是雷达信号处理工程领域的重点之一。频率捷变信号由于脉内调制复杂的特性使参数测量尤为困难,运算量巨大,经常出现测量不准确的问题。为了能够准确快速得测量频率捷变信号的时域、调制域参数,必须采取一种运算量小并且精度更高的测量方法。本发明就是通过信号分析仪读取频率捷变信号的数值大小,进而采用联合时域、调制域的思想,用密度分布平均法和相位差分法更加精确详细地测量频率捷变信号的具体参数。In radar reception, the time domain and modulation domain parameters of the radar echo carry a lot of useful information, but the parameters of the radar echo are unknown and cannot be obtained directly through the radar receiving antenna. For different types of radar signals, the parameter measurement methods are also different. Frequency-agile signal is a common transmission signal of radar. Measuring the parameters of frequency-agile signal is one of the key points in the field of radar signal processing engineering. Due to the complex characteristics of intra-pulse modulation, the frequency-agile signal makes parameter measurement particularly difficult, and the amount of calculation is huge, and the problem of inaccurate measurement often occurs. In order to accurately and quickly measure the time-domain and modulation-domain parameters of frequency-agile signals, a measurement method with a small amount of calculation and higher precision must be adopted. The present invention reads the numerical value of the frequency agility signal through the signal analyzer, and then adopts the idea of combining the time domain and the modulation domain to measure the specific parameters of the frequency agility signal more accurately and in detail by using the density distribution averaging method and the phase difference method.
参照图1,本发明的实施步骤如下:With reference to Fig. 1, the implementation steps of the present invention are as follows:
步骤1:测量频率捷变信号的离散数值。Step 1: Measure the discrete values of the frequency-agile signal.
1a)雷达通过接收天线接收频率捷变信号形式的雷达回波,并将接收到的频率捷变信号的实部I(t)和虚部Q(t)以数据形式保存到.dat文件中;1a) The radar receives the radar echo in the form of a frequency-agile signal through the receiving antenna, and saves the real part I(t) and imaginary part Q(t) of the received frequency-agile signal in a .dat file in the form of data;
1b)将.dat文件上传到信号分析仪,读取得到频率捷变信号的实部I(t)和虚部Q(t)的数值大小;1b) Upload the .dat file to the signal analyzer, and read the values of the real part I(t) and the imaginary part Q(t) of the frequency-agile signal;
1c)设定采样率fs,抽取1秒时间长度的待测量的频率捷变信号,对其进行离散采样,得到此1秒长度的频率捷变信号的实部离散取值I(n)和虚部离散取值Q(n)。1c) Set the sampling rate f s , extract the frequency-agile signal to be measured with a length of 1 second, and perform discrete sampling on it to obtain the real part discrete value I(n) and The imaginary part discretely takes the value Q(n).
步骤2:计算频率捷变信号的时域参数。Step 2: Calculate the time-domain parameters of the frequency-agile signal.
2a)根据频率捷变信号的实、虚部离散取值I(n)和Q(n),计算频率捷变信号包络: 2a) Calculate the frequency-agile signal envelope according to the discrete values I(n) and Q(n) of the real and imaginary parts of the frequency-agile signal:
2b)估计频率捷变信号的近似顶值A'top和近似底值A'ba,以及近似幅度A';2b) Estimating the approximate top value A' top and the approximate bottom value A' ba of the frequency-agile signal, as well as the approximate amplitude A';
2b1)查找得到信号包络y(n)的最大值ymax和最小值ymin,其中n=1,2,…,N,N为频率捷变信号抽样所得的总点数;2b1) Find the maximum value y max and the minimum value y min of the signal envelope y(n), where n=1, 2, ..., N, N is the total number of points obtained by sampling the frequency agility signal;
2b2)将信号包络y(n)从小到大分为100个区间,其中第k个区间E(k)取值范围的最小值为Emin(k),最大值为Emax(k):2b2) Divide the signal envelope y(n) into 100 intervals from small to large, where the minimum value of the k-th interval E(k) is E min (k), and the maximum value is E max (k):
2b3)统计信号包络y(n)落在每个区间E(k)内的个数,分别记为计数值C(k),k=1,2…100;2b3) Statistically count the number of signal envelopes y(n) falling in each interval E(k), which are respectively recorded as count values C(k), k=1, 2...100;
2b4)在计数值C(k)中查找前50个计数值的最大值所在的位置,记为k1,查找后50个计数值的最大值所在的位置,记为k2;2b4) Find the position of the maximum value of the first 50 count values in the count value C(k), denoted as k 1 , and find the position of the maximum value of the last 50 count values, denoted as k 2 ;
2b5)计算区间E(k1)的平均值,即为频率捷变信号的近似顶值A'top,计算区间E(k2)的平均值,即为频率捷变信号的近似底值A'ba;2b5) Calculate the average value of the interval E(k 1 ), which is the approximate top value A' top of the frequency-agile signal, and calculate the average value of the interval E(k 2 ), which is the approximate bottom value A' of the frequency-agile signal ba ;
2b6)根据频率捷变信号的近似底值A'ba和近似顶值A'top,得到频率捷变信号的近似幅度A'=A'top-A'ba;2b6) According to the approximate bottom value A'ba and the approximate top value A'top of the frequency-agile signal, the approximate amplitude A'= A'top - A'ba of the frequency-agile signal is obtained;
2c)检测频率捷变信号的脉冲个数m,并记录每个脉冲的近似上升沿判决时刻t'升、近似下降沿的判决时刻t'降;2c) Detecting the number m of pulses of the frequency agility signal, and recording the approximate rising edge judgment time t' of each pulse, and the approximate falling edge judgment time t'fall of each pulse;
2c1)将频率捷变信号的脉冲个数记为m,并初始化m为0,从频率捷变信号的起始位置开始查找第一个近似上升沿,将查找结果记为标志位flag,若查找成功,则将标志位flag置1,并记录本次近似上升沿判决时刻t'升,否则,将标志位flag置0;2c1) Record the number of pulses of the frequency agility signal as m, and initialize m to 0, start to search for the first approximate rising edge from the initial position of the frequency agility signal, and record the search result as the flag bit, if the search If successful, set the flag bit to 1, and record the approximate rising edge judgment time t', otherwise, set the flag bit to 0;
2c2)查找到近似上升沿后,继续往后查找近似下降沿,若查找成功,则将标志位flag置1,并记录本次近似下降沿判决时刻t'降,否则,将标志位flag置0;2c2) After finding the approximate rising edge, continue to search for the approximate falling edge. If the search is successful, set the flag bit flag to 1, and record the judgment time t'fall of the approximate falling edge, otherwise, set the flag bit flag to 0 ;
2c3)查找到近似下降沿后,继续往后查找近似上升沿,若查找成功,则将标志位flag置1,记录本次近似上升沿判决时刻t'升,并令频率捷变信号的脉冲个数m加1,否则,将标志位flag置0;2c3) After finding the approximate falling edge, continue to search for the approximate rising edge. If the search is successful, set the flag bit flag to 1, record the judgment time t' of the approximate rising edge, and make the pulse number of the frequency agility signal Add 1 to the number m, otherwise, set the flag bit to 0;
2c4)检测标志位flag的当前值,若标志位flag=1,则返回步骤2c2),若标志位flag=0,则结束查找;2c4) detect the current value of the flag bit flag, if the flag bit flag=1, then return to step 2c2), if the flag bit flag=0, then end the search;
2d)计算频率捷变信号各个脉冲的宽度:τ=t'降-t'升;2d) Calculate the width of each pulse of the frequency agility signal: τ=t'down - t'up ;
2e)在每个脉冲的脉冲宽度内,运用密度分布平均法,计算得到每个脉冲精确的顶值Atop和底值Aba,并求得每个脉冲精确幅度值A为:A=Atop-Aba;2e) Within the pulse width of each pulse, use the density distribution averaging method to calculate the precise top value A top and bottom value A ba of each pulse, and obtain the precise amplitude value A of each pulse as: A=A top -A ba ;
2f)检测频率捷变信号每个脉冲的最大值Vmax和最小值Vmin,计算每个脉冲的过冲Sover=Vmax-Atop和下冲Sunder=Aba-Vmin;2f) Detecting the maximum value V max and the minimum value V min of each pulse of the frequency agility signal, and calculating the overshoot S over =V max -A top and the undershoot S under =A ba -V min of each pulse;
2g)计算出脉冲的上升时间tr、下降时间tf,脉冲周期T,关闭时间toff及占空比dt:2g) Calculate the pulse rise time t r , fall time t f , pulse period T, off time t off and duty cycle d t :
2g1)设定频率捷变信号的脉冲幅度上参考线M上和脉冲幅度下参考线M下:2g1) Set the upper reference line M of the pulse amplitude and the lower reference line M of the pulse amplitude of the frequency agility signal:
M上=Aba+90%×A,M up =A ba +90%×A,
M下=Aba+10%×A; Under M=A ba +10%×A;
2g2)在脉冲宽度τ内查找脉冲幅度上参考线M上和脉冲幅度下参考线M下对应的时刻值,该对应的时刻值包括:上升沿中脉冲幅度上参考线所对应的时刻tr上、上升沿中脉冲幅度下参考线所对应的时刻tr下、下降沿中脉冲幅度上参考线所对应的时刻tf上、下降沿中脉冲幅度下参考线所对应的时刻tf下,及相邻下一次上升沿中脉冲幅度上参考线所对应的时刻t'r下;2g2) Find the corresponding time values on the pulse amplitude upper reference line M and pulse amplitude lower reference line M within the pulse width τ. The corresponding time values include: the time t r corresponding to the pulse amplitude upper reference line in the rising edge , the time t r down corresponding to the lower reference line of the pulse amplitude in the rising edge, the time t f corresponding to the upper reference line of the pulse amplitude in the falling edge, and the time t f lower corresponding to the lower reference line of the pulse amplitude in the falling edge, and The time t'r corresponding to the upper reference line of the pulse amplitude in the adjacent next rising edge;
2g3)根据2g2)查找的出的时刻值,计算出脉冲的如下参数:2g3) Calculate the following parameters of the pulse according to the moment value found in 2g2):
上升时间tr:tr=tr上-tr下,Rise time t r : t r = t r up - t r down ,
下降时间tf:tf=tf下-tf上,Falling time t f : t f = t f down - t f up ,
脉冲周期T:T=t'r下-tr下,Pulse period T: T = t' r down - t r down ,
关闭时间toff:toff=T-τ,Off time t off : t off =T-τ,
占空比dt:dt=τ/T。Duty ratio d t : d t =τ/T.
步骤3:计算频率捷变信号的调制域参数。Step 3: Calculate the modulation domain parameters of the frequency-agile signal.
3a)根据频率捷变信号的实、虚部离散取值I(n)和Q(n),计算频率捷变信号每个点的瞬时相位:n=1,2,…,N,其中N为频率捷变信号抽样所得的总点数;3a) According to the discrete values I(n) and Q(n) of the real and imaginary parts of the frequency-agile signal, calculate the instantaneous phase of each point of the frequency-agile signal: n=1,2,...,N, where N is the total number of points sampled by the frequency agility signal;
3b)根据瞬时相位采用相位差分法对频率捷变信号进行时频分析,提取频率捷变信号的瞬时频率:n=1,2,…,N,其中fs为信号的采样率,N为频率捷变信号抽样所得的总点数;3b) According to the instantaneous phase The time-frequency analysis of the frequency-agile signal is carried out by using the phase difference method, and the instantaneous frequency of the frequency-agile signal is extracted: n=1,2,...,N, where f s is the sampling rate of the signal, and N is the total number of points sampled by the frequency agility signal;
3c)根据频率捷变信号各点的瞬时频率fc(n),求得频率捷变信号瞬时频率的平均值;3c) According to the instantaneous frequency f c (n) of each point of the frequency agile signal, obtain the average value of the instantaneous frequency of the frequency agile signal;
3d)统计频率捷变信号的瞬时频率在平均值附近的个数M,若满足90%m≤M≤m,则判断该频率捷变信号的捷变方式为脉内捷变频,否则判断为脉间捷变频,m为频率捷变信号的脉冲个数;3d) Count the number M of the instantaneous frequency of the frequency-agile signal near the average value. If 90% m≤M≤m is satisfied, the agile mode of the frequency-agile signal is judged to be intra-pulse frequency-agile, otherwise it is judged to be pulse-agile. Time-agile frequency, m is the number of pulses of the frequency-agile signal;
3e)根据频率捷变信号实、虚部的离散取值I(n)和Q(n),分别对每个脉冲内的点的实部、虚部做快速傅里叶变换得到对应的实部I(ω)和虚部Q(ω),并计算其瞬时功率: 3e) According to the discrete values I(n) and Q(n) of the real and imaginary parts of the frequency-agile signal, fast Fourier transform is performed on the real and imaginary parts of the points in each pulse respectively to obtain the corresponding real part I(ω) and imaginary part Q(ω), and calculate its instantaneous power:
3f)根据频率捷变信号的瞬时功率spec(ω),计算脉内捷变方式的捷变个数C和捷变频率freq(i),i=1,2,…,C;3f) According to the instantaneous power spec(ω) of the frequency agility signal, calculate the number C of agility in the pulse agility mode and the agility frequency freq(i), i=1,2,...,C;
3f1)统计得到瞬时功率spec(ω)的值域spec(j),j=1,2,…,N,其中N为频率捷变信号抽样所得的总点数;3f1) Statistically obtain the value range spec(j) of the instantaneous power spec(ω), j=1,2,...,N, where N is the total number of points sampled by the frequency agility signal;
3f2)计算得到瞬时均值avg:avg=(spec(1)+spec(2)+…+spec(j)+…+spec(N))/N;3f2) Calculate the instantaneous mean value avg: avg=(spec(1)+spec(2)+...+spec(j)+...+spec(N))/N;
3f3)依次对每个值域spec(j)的值进行判断,若满足spec(j)>avg并且spec(j-2)<spec(j-1),spec(j-1)<spec(j),spec(j)>spec(j+1),spec(j+1)>spec(j+2),则将该点记为一个频谱峰值pSpec(ω);3f3) Judge the value of each range spec(j) in turn, if it satisfies spec(j)>avg and spec(j-2)<spec(j-1), spec(j-1)<spec(j ), spec(j)>spec(j+1), spec(j+1)>spec(j+2), then record this point as a spectral peak pSpec(ω);
3f4)统计查找出的所有的频谱峰值pSpec(ω),依次比较每个频谱峰值pSpec(ω)的大小,确定出最大频谱峰值pSpecmax(ω)以及最大频谱峰值的个数,最大谱峰值个数即为捷变个数C;3f4) Statistically find all the spectrum peaks pSpec(ω), compare the size of each spectrum peak pSpec(ω) in turn, determine the maximum spectrum peak pSpec max (ω) and the number of maximum spectrum peaks, the maximum spectrum peak number The number is the agile number C;
3f5)将每个脉冲的脉冲宽度分为捷变个数段,分别对每一段计算其拟合频率即为捷变频率freq(i),i=1,2,…,C;3f5) Divide the pulse width of each pulse into agile segments, and calculate the fitting frequency for each segment respectively, which is the agile frequency freq(i), i=1, 2,...,C;
3g)根据频率捷变信号的瞬时功率spec(ω),计算脉间捷变方式的捷变个数C和捷变频率freq(i),i=1,2,…,C;3g) According to the instantaneous power spec(ω) of the frequency agility signal, calculate the number of agility C and the agility frequency freq(i) of the pulse-to-pulse agility mode, i=1,2,...,C;
3g1)分别对频率捷变信号的每个脉冲计算其拟合频率freq(k),k=1,2,…,m,其中m为频率捷变信号的脉冲个数;3g1) Calculate the fitting frequency freq(k) for each pulse of the frequency-agile signal, k=1,2,...,m, wherein m is the number of pulses of the frequency-agile signal;
3g2)查找得出拟合频率freq(k)中的最大值freqmax及其所在脉冲的位置;3g2) Find the maximum value freq max and the position of the pulse in the fitted frequency freq(k);
3g3)根据频率捷变信号拟合频率的最大值freqmax所在的脉冲位置,计算相邻两个最大值所在脉冲位置之差,该差值即为捷变个数C;3g3) According to the pulse position where the maximum value freq max of the frequency agility signal fitting frequency is located, calculate the difference between the pulse positions where two adjacent maximum values are located, and the difference is the number C of the agility;
3g4)取前捷变个数C的拟合频率,即为捷变频率freq(i),i=1,2,…,C。3g4) Take the fitting frequency of the previous number C of agile changes, which is the agile frequency freq(i), i=1,2,...,C.
本发明对频率捷变信号的时域、调制域参数测量的效果可通过以下仿真实验进一步验证。The effect of the present invention on the time domain and modulation domain parameter measurement of the frequency agile signal can be further verified by the following simulation experiments.
实验1,用本发明方法对频率捷变信号的时域参数测量进行Matlab仿真,参数设置为:捷变方式为脉间捷变,脉冲宽度为10us,脉冲重复周期为60us,完整脉冲个数为6,采样率为20MHz,带宽20MHz。测得的时域参数如表1所示:Experiment 1, carry out Matlab emulation to the time-domain parameter measurement of frequency agile signal with the inventive method, parameter is set as: agile mode is pulse-to-pulse agility, and pulse width is 10us, and pulse repetition period is 60us, and the complete pulse number is 6. The sampling rate is 20MHz and the bandwidth is 20MHz. The measured time domain parameters are shown in Table 1:
表1频率捷变信号时域参数表Table 1 Time Domain Parameters of Frequency Agility Signal
从表1可以看出,测量的脉冲个数为6,脉冲宽度为10us,重复周期为60us,上升时间为0.05us,下降时间为0.05us,该测量参数与实际设定的参数一致。It can be seen from Table 1 that the number of measured pulses is 6, the pulse width is 10us, the repetition period is 60us, the rise time is 0.05us, and the fall time is 0.05us. The measurement parameters are consistent with the actual set parameters.
实验2,用本发明方法对频率捷变信号的调制域参数测量进行Matlab仿真,参数设置为:带宽20Mhz,脉内最大频率、最小频率为10.2e+008和9.8e+008。测量所得各脉内调制参数如表2所示:Experiment 2, using the method of the present invention to carry out Matlab simulation on the modulation domain parameter measurement of the frequency agility signal, the parameters are set to: bandwidth 20Mhz, maximum frequency and minimum frequency in the pulse are 10.2e+008 and 9.8e+008. The measured pulse modulation parameters are shown in Table 2:
表2频率捷变信号脉内调制参数表Table 2 Frequency-agile signal intra-pulse modulation parameter list
从表2可以看出,捷变方式为脉间捷变,捷变个数为3个,捷变频率分别为0MHz,1.5MHz,3MHz,测量结果准确,效果很好。It can be seen from Table 2 that the agile mode is pulse-to-pulse agility, the number of agility is 3, and the agility frequencies are 0MHz, 1.5MHz, and 3MHz respectively. The measurement results are accurate and the effect is very good.
实验3,分别用现有STFT方法和Wigner-Vile方法对频率捷变信号进行时频分析得到相应时频曲线,测量结果如图2、图3所示。其中图2为STFT方法测得的频率捷变信号的时频分布图,图3为Wigner-Vile方法测得的频率捷变信号的时频分布图。In Experiment 3, the existing STFT method and the Wigner-Vile method were used to analyze the time-frequency of the frequency-agile signal to obtain the corresponding time-frequency curve. The measurement results are shown in Figure 2 and Figure 3. 2 is a time-frequency distribution diagram of a frequency-agile signal measured by the STFT method, and FIG. 3 is a time-frequency distribution diagram of a frequency-agile signal measured by the Wigner-Vile method.
从图2中可以看出,用现有STFT方法得到的时频分布图的分辨率较差。It can be seen from Fig. 2 that the resolution of the time-frequency distribution map obtained by the existing STFT method is relatively poor.
从图3中可以看出,采用现有Wigner-Vile分布方法,频率捷变信号的时频分布出现了“虚假”,有用的时变谱图变得模糊,因此STFT和Wigner-Vile分布都不适合分析频率捷变信号。It can be seen from Figure 3 that with the existing Wigner-Vile distribution method, the time-frequency distribution of the frequency-agile signal appears "false", and the useful time-varying spectrogram becomes blurred, so the STFT and Wigner-Vile distributions are not Ideal for analyzing frequency-agile signals.
实验4,用本发明方法,对频率捷变信号进行时频分析得到瞬时相位曲线和时频曲线,测量结果如图4所示,其中图4(a)为频率捷变信号的瞬时相位曲线,图4(b)为频率捷变信号的时频曲线,图4(c)为频率捷变信号的瞬时相位曲线在频率为1.5MHz时的放大图,图4(d)为频率捷变信号的瞬时相位曲线在频率为3MHz时的放大图。Experiment 4, with the method of the present invention, frequency-agile signal is carried out time-frequency analysis to obtain instantaneous phase curve and time-frequency curve, measurement result as shown in Figure 4, wherein Figure 4 (a) is the instantaneous phase curve of frequency-agile signal, Figure 4(b) is the time-frequency curve of the frequency-agile signal, Figure 4(c) is the enlarged picture of the instantaneous phase curve of the frequency-agile signal at a frequency of 1.5MHz, and Figure 4(d) is the frequency-agile signal Zoom-in view of the instantaneous phase curve at a frequency of 3MHz.
从图4仿真结果可看出,而本发明的频率捷变信号参数的测量方法,具有算法简单,运算量小等特点,不存在“交叉项”干扰,特别适合于工程实践上大数据量的测量。It can be seen from the simulation results in Fig. 4 that the method for measuring frequency-agile signal parameters of the present invention has the characteristics of simple algorithm, small amount of calculation, etc., and there is no "cross-term" interference, which is especially suitable for large data volume in engineering practice. Measurement.
综上所述,本发明的频率捷变信号参数的测量方法能够更为精确地对频率捷变信号进行时频分析,更加快速的得到各个时域参数和调制域参数。To sum up, the method for measuring frequency-agile signal parameters of the present invention can more accurately perform time-frequency analysis on the frequency-agile signal, and obtain various time-domain parameters and modulation-domain parameters more quickly.
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