cconv1.m

经典《信号与系统》教程的matlab例程,对深入理解信号与系统相关概念有很大帮助

%==========================================================================
% Name：cconvdemo
% The program is used to demonstrate the convolution of two continuou-time
% signals
% Please expressed the signals in terms of the unit step function.
% For example：e(t)=exp(-2*t).*u(t).
%==========================================================================
clear;
t0=input('请输入信号的起始时间（建议取-t0—t0）,t0=：');
t1=t0;t0=-t0;
p=.05;
t=t0:p:t1;
x=input('请输入激励信号：');
h=input('请输入系统冲激响应：');
f=p*conv(x,h);%卷积计算

%将卷积的结果取得和两个输入的信号一样长，以便在相同的坐标中绘制其图形并方便比较。
l=length(f);
m=2*t0:p:t0-p;
n=t1+p:p:2*t1;
m1=zeros(1,abs(t0/p));
n1=zeros(1,abs(t1/p));
lm=length(m1);
ln=length(n1);
f=f([lm+1:l-ln]);
c=u(-t);                %移位窗

%计算移位长度

hl=fliplr(h);
l=length(hl);
k0=min(find(hl))+length(find(hl));
v0=min(find(f));
w0=min(find(x));
if k0<=w0
    q=50;
else
    q=k0-w0+50;
end
%
for i=1:q
    y=hl(1);
    for j=1:l-1
        hl(j)=hl(j+1);c(j)=c(j+1);
    end
    hl(l)=y;c(l)=0;
end
%
%以下程序绘制激励信号和系统冲激响应的波形
clf;
subplot(3,1,1)
plot(t,x);hold on;plot(t,h,'r');
text(.5*t1,.8*max(x),'激励信号e(t)：');

%下段程序实现移位动画
b=q+length(find(f));
for i=1:b
    for j=l-1:-1:1
        hl(j+1)=hl(j);
        c(j+1)=c(j);
    end
    c(1)=1;
    hl(1)=0;
    pause(0);
    subplot(3,1,2);
    plot(t,hl,'r');hold on;text(.5*t1,.8*max(h),'系统冲激响应h(t)：');plot(t,x);
    hold off;
    subplot(3,1,3);
    plot(t,c.*f,'r');axis([t0,t1,min(f),max(f)]);text(.5*t1,.8*max(f),'系统响应r(t)：');
end