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1、信号与系统课程设计报告班级：姓名：学号：指导老师：设计时间：2015.01.132014—2015学年第一学期一、连续信号的时域分析二、1.信号的产生(1)阶跃函数function[t,y1]=jieyue(t1,t2,t0)dt=0.01;ttt=t1:dt:t0-dt;tt=t0:dt:t2;t=t1:dt:t2;n=length(ttt);nn=length(tt);u=zeros(1,n);uu=ones(1,nn);y1=[u,uu];return冲激函数function[t,y2]=chongji(t1,t2,
2、t0)dt=0.01;t=t1:dt:t2;n=length(t);y2(1:n)=0;y2(1,(t0-t1)/dt+1)=1/dt;（2）调用上述函数产生信号，，，-6s≤t≤6s,并画出波形。CommandWindowsubplot(3,1,1);[t1,y1]=jieyue(-6,6,2);35stairs(t1,y1);axis([-6601.5]);subplot(3,1,2);[t2,y2]=chongji(-6,6,4);plot(t2,y2);subplot(3,1,3);[t3,y3]=jieyue(-
3、6,6,0);y3=exp(-(t3)).*y3;plot(t3,y3);波形如下图所示：（3）根据f(t)画出f(2t)和f(1-0.5t)的波形t=-3:0.01:3;y=tripuls(t,4,0.6);subplot(3,1,1);plot(t,y);35title('f(t)');xlabel('(a)');y1=tripuls(2*t,4,0.6);subplot(3,1,2);plot(t,y1);title('f(2t)');xlabel('(b)');t1=2-2*t;y2=tripuls(1-0.5*t
4、1,4,0.6);subplot(3,1,3);plot(t1,y2);title('f(1-0.5*t)');xlabel('(c)');得到波形如下图所示：35已知信号f（t）=（1+t/2）*（u(t+2)-u(t-2)）,用matlab求f（t+2），f(t-2),f(-t).f(2t),-f(t),并绘出时域波形。CommandWindowsymst;f=sym(‘(t/2+1)*(Heaviside(t+2)-Heaviside(t-2))’);subplot(2,3,1);ezplot(f,[-3,3]);y
5、1=subs(f,t,t+2);subplot(2,3,2);ezplot(y1,[-5,1]);y2=subs(f,t,t-2);subplot(2,3,3);ezplot(y2,[-1,5]);y3=subs(f,t,-t);subplot(2,3,4);ezplot(y3,[-3,3]);y4=subs(f,t,2*t);subplot(2,3,5);ezplot(y4,[-2,2]);y5=-f;subplot(2,3,6);ezplot(y5,[-3,3]);仿真结果如下图所示：352、信号的卷积（1）f（t）=
6、f1(t)*f2(t)function[k,f]=myconv(f1,f2,k1,k2,p)f=conv(f1,f2)*p;k0=k1(1)+k2(1);k3=length(f1)+length(f2)-2;k=k0:p:k0+k3*p;（2）求x1=和x2=δ(t+3)+δ(t-3)的卷积x1(t)*x2(t),并验证卷积的性质。CommandWindow[t1,f11]=jieyue(-8,8,0);[t1,f12]=jieyue(-8,8,2);f1=f11-f12;x1=exp(-t1).*f1;[t2,f21]=
7、chongji(-8,8,-3);[t2,f22]=chongji(-8,8,3);35x2=f21+f22;subplot(3,1,1);plot(t1,x1);subplot(3,1,2);plot(t2,x2);[t3,f]=myconv(x1,x2,t1,t2,0.01)subplot(3,1,3);plot(t3,f);仿真结果：(3)已知,,0<=t<=10的卷积f(t)=f1(t)*f2(t)的时域波形图。CommandWindowt11=0;t12=3;t21=0;t22=10;t1=t11:0.001:t
8、12;35ft1=-sign(t1-2);t2=t21:0.001:t22;ft2=exp(-2*t2);t=t11+t21:0.001:t12+t22;ft=conv(ft1,ft2);ft=ft*0.001;subplot(2,2,1);plot(t1,ft1);title('f1(t)');sub
