1.输入信号x(Dirac脉冲)
a为幅值(0,1)随机,τ为延时周期T内随机
X的代码给出:
%% FRI信号建模-Dirac脉冲函数
%%生成输入信号x(t)(Dirac脉冲)
T = 1;
b=0.9;
q=0.07;
dt = 0.001;
fs=1000;
W0=2*pi/T;
t = -2*T:dt:2*T;
L = 3; %%自由度为2*L
ak = [0.4, -0.6, 0.3]; %Dirac脉冲幅值
tk = [0.1, 0.2, 0.7]; %Dirac脉冲时延
figure(1);
stem(tk, ak, 'r'); %绘制茎叶图
axis([0 T -1 1]); %控制坐标轴,仅绘制脉冲位置
xlabel('time');
ylabel('amplitude');
title('Dirac pulse stream');
N = length(t);
x = zeros(1,N);
for i = 1:L %生成的时域稀疏信号,Dirac脉冲流
x = x + ak(i)*(t==tk(i));
End
1.采样核采样
求x与采样核采样后的信号y(t)