clear all;
close all;
clc
azi_num=2000;
fr=1000;
lamda0=0.05;
sigmav=1.0;
sigmaf=2*sigmav/lamda0;
rand('state',7*sum(100*clock));
d1=rand(1,azi_num);
rand('state',7*sum(100*clock)+3);
d2=rand(1,azi_num);
xi=1*(sqrt(-2*log(d1)).*cos(2*pi*d2));
coe_num=12;
for n=0:coe_num
    coeff(n+1)=2*sigmaf*sqrt(i)*exp(-4*sigmaf^2*pi^2*n^2/fr^2)/fr;
end
for n=1:2*coe_num+1
    if n<=coe_num+1
        b(n)=1/2*coeff(coe_num+2-n);
    else
        b(n)=1/2*coeff(n-coe_num);
    end
end
xxi=conv(b,xi);
xxi=xxi(coe_num*2+1:azi_num+coe_num*2);
xsigmac=std(xxi);
xmuc=mean(xxi);
yyi=(xxi-xmuc)/xsigmac;
muc=10;
sigmac=0.6;
yyi=sigmac*yyi+log(muc);
xdata=exp(yyi);
figure,plot(xdata);title('對數正態雜波時域波形');
%%%%%%%%%求概率密度函數的參數%%%%%%%%%%%%%%%%%%
num=100;
maxdat=max(abs(xdata));
mindat=min(abs(xdata));
NN=hist(abs(xdata),num);
xpdf1=num*NN/((sum(NN))*(maxdat-mindat));
xaxis1=mindat:(maxdat-mindat)/num:maxdat-(maxdat-mindat)/num;
th_val=lognpdf(xaxis1,xpdf1);
figure,plot(xaxis1,xpdf1);
hold,plot(xaxis1,th_val,':r'),title('雜波幅度分布'),xlabel('幅度'),
ylabel('概率密度');
signal=xdata;
signal=signal-mean(xdata);
M=128;
psd_dat=pburg(real(signal),16,M,fr);
psd_dat=psd_dat/(max(psd_dat));
freqx=0:0.5*M;
freqx=freqx*fr/M;
figure,plot(freqx,psd_dat);
title('雜波頻譜'),xlabel('頻率（Hz）'),
ylabel('功率譜密度');
%%%%%%%% 理想高斯曲線%%%%%%%%%%%%
powerf=exp(-freqx.^2/(2*sigmaf.^2));
hold;
plot(freqx,powerf,':r');