前言
本文对雷达模糊函数的内容以思维导图的形式呈现，有关仿真部分进行了讲解实现。
一、雷达模糊函数
思维导图如下图所示，如有需求请到文章末尾端自取。
二、Matlab 仿真
1、单脉冲模糊函数
归一化的矩形脉冲定义为：
单脉冲不确定函数表达式
单脉冲模糊函数表达式
①、MATLAB 源码
single_pulse_ambg.m
function x = single_pulse_ambg (taup) %colormap (gray(1)) eps = 0.000001; i = 0; taumax = 1.1 * taup; taumin = -taumax; for tau = taumin:.05:taumax i = i + 1; j = 0; for fd = -5/taup:.05:5/taup %-2.5:.05:2.5 j = j + 1; val1 = 1. - abs(tau) / taup; val2 = pi * taup * (1.0 - abs(tau) / taup) * fd; x(j,i) = abs( val1 * sin(val2+eps)/(val2+eps)); end end
Fig4_2.m
close all clear all eps = 0.000001; taup = 2.; taumin = -1.1 * taup; taumax = -taumin; x = single_pulse_ambg(taup); taux = taumin:.05:taumax; fdy = -5/taup:.05:5/taup; figure(1) mesh(taux,fdy,x); xlabel ('Delay - seconds') ylabel ('Doppler - Hz') zlabel ('Ambiguity function') %colormap([.5 .5 .5]) %colormap (gray) figure(2) contour(taux,fdy,x); xlabel ('Delay - seconds') ylabel ('Doppler - Hz') %colormap([.5 .5 .5]) %colormap (gray) grid y = x.^2; figure(3) mesh(taux,fdy,y); xlabel ('Delay - seconds') ylabel ('Doppler - Hz') zlabel ('Ambiguity function') %colormap([.5 .5 .5]) %colormap (gray) figure(4) contour(taux,fdy,y); xlabel ('Delay - seconds') ylabel ('Doppler - Hz') %colormap([.5 .5 .5]) %colormap (gray) grid
②、仿真结果
1）不确定函数三维图
2）不确定函数的等高图
3）模糊函数的三维图
4）模糊函数的等高图
2、单脉冲多普勒频率轴上的切面
模糊函数在多普勒频率轴上的切面为：
①、MATLAB 源码
fig4_4.m
close all clear all eps = 0.0001; taup = 2.; fd = -10./taup:.05:10./taup; uncer = abs( sinc(taup .* fd)); ambg = uncer.^2; plot(fd, ambg,'k') xlabel ('Frequency - Hz') ylabel ('Ambiguity - Volts') grid figure(2) plot (fd, uncer,'k'); xlabel ('Frequency - Hz') ylabel ('Uncertainty - Volts') grid
②、仿真结果
1）单频脉冲（零延迟）的不确定函数
2）单频脉冲（零延迟）的模糊度函数
3、LFM 信号模糊函数
上调频 LFM 信号的模糊函数为：
下调频 LFM 信号的模糊函数为：
①、MATLAB 源码
lfm_ambg.m
function x = lfm_ambg(taup, b, up_down) eps = 0.000001; i = 0; mu = up_down * b / 2. / taup; delt = 2.2*taup/250; delf = 2*b /250; for tau = -1.1*taup:.05:1.1*taup i = i + 1; j = 0; for fd = -b:.05:b j = j + 1; val1 = 1. - abs(tau) / taup; val2 = pi * taup * (1.0 - abs(tau) / taup); val3 = (fd + mu * tau); val = val2 * val3; x(j,i) = abs( val1 * (sin(val+eps)/(val+eps))).^2; end end
fig4_5.m
close all clear all eps = 0.0001; taup = 1.; b =10.; up_down = 1.; x = lfm_ambg(taup, b, up_down); taux = -1.1*taup:.05:1.1*taup; fdy = -b:.05:b; figure(1) mesh(taux,fdy,x) xlabel ('Delay - seconds') ylabel ('Doppler - Hz') zlabel ('Ambiguity function') figure(2) contour(taux,fdy,x) xlabel ('Delay - seconds') ylabel ('Doppler - Hz') y = sqrt(x); figure(3) mesh(taux,fdy,y) xlabel ('Delay - seconds') ylabel ('Doppler - Hz') zlabel ('Uncertainty function') figure(4) contour(taux,fdy,y) xlabel ('Delay - seconds') ylabel ('Doppler - Hz')
雷达模糊函数及MATLAB仿真（二）https://developer.aliyun.com/article/1472372
