信号与系统第十章习题
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第十章习题10.1
syms t phase im re;
f = sin(2*pi*t)/(2*pi*t);
Fw = fourier(f)
subplot(311);
ezplot(f);
axis([-pi pi -0.5 2]);
title('原函数波形')
subplot(312);
ezplot(abs(Fw));
title('幅度谱')
axis([-10 10 -1 2])
im = imag(Fw);
re = real(Fw);
phase = atan(im/re);
subplot(313);
ezplot(phase);
title('相位谱')
Fw =
10.2
syms t w;
F=pi*cos(w/2)/(2*((pi/2)^2-(w/2)^2));
f=ifourier(F,t)
ezplot(f);
title('时域波形')
f =
16777216/2778046668940015*2778046668940015^(1/2)*pi*(heaviside(t-
1/2)*sin(1/33554432*2778046668940015^(1/2)*(2*t-
1))+heaviside(t+1/2)*sin(1/33554432*2778046668940015^(1/2)*(2*t+1))-
cos(1/33554432*2778046668940015^(1/2))*sin(1/16777216*2778046668940015^(
10.4
dt = 0.001;
t = -2:dt:2;
f1 = Heaviside(t+1)-Heaviside(t-1);
subplot(221);
plot(t,f1)
xlabel('t');
title('f1(t)');
axis([-2 2 -0 1.1]);
f = dt*conv(f1,f1);
n = -4:dt:4;
subplot(222);
plot(n,f);
xlabel('t');
title('f(t)=f1(t)*f1(t)');
axis([-4 4 -0 2.1]);
W1 = 2*pi*5;
N = 200;
k = -N:N;
W = k*W1/N;
F1 = f1*exp(-j*t'*W)*dt;
F1 = abs(F1);
F = f*exp(-j*n'*W)*dt;
F = abs(F);
F2 = F1.*F1;
subplot(223);
plot(W,F1);
xlabel('w');
title('F1(w)的幅度频谱');
subplot(224);
plot(W,F2);
xlabel('w');
title('F(w)= F1(w)×1F(w)的幅度频谱');
axis([-20 20 0 4.1]);
axis([-20 20 0 4.1]);
f =
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