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subplot(2,2,3); stem(T,xn); ylabel('x(n)'); xlabel('n');
xrtt=[];
for m=0:length(xn)-1 t1=-1:0.01:4;
xrtm=xn(m+1)*sin(pi*(t1-m/fs)*fs+eps)./(pi*(t1-m/fs)*fs+eps); xrtt=[xrtt;xrtm]; end
xrt=sum(xrtt); subplot(2,2,4); plot(t1,xrt); ylabel('xr(t)'); xlabel('t'); figure
t = 0:0.001:4; xt=cos(4*pi*t); subplot(2,2,1); plot(t,xt); ylabel('x(t)'); xlabel('t'); fs = 3; T = 0:1/fs:1; xn=cos(4*pi*T); subplot(2,2,2); t1 = -4:0.001:4;
ht = sin(pi*t1*fs+eps)./(pi*t1*fs+eps); plot(t1,ht); ylabel('hr(t)'); xlabel('t'); subplot(2,2,3); stem(T,xn); ylabel('x(n)'); xlabel('n');
xrtt=[];
for m=0:length(xn)-1 t1=-1:0.01:4;
xrtm=xn(m+1)*sin(pi*(t1-m/fs)*fs+eps)./(pi*(t1-m/fs)*fs+eps); xrtt=[xrtt;xrtm]; end
xrt=sum(xrtt); subplot(2,2,4); plot(t1,xrt); ylabel('xr(t)'); xlabel('t');
10.50-0.5-110.5hr(t)0012t34-0.5-4x(t)-20t2410.521x(n)0-0.5-1xr(t)00.5n10-1-2-20t24
10.50-0.5-110.5hr(t)0012t34-0.5-4x(t)-20t2410.521x(n)0-0.5-1xr(t)000.5n1-1-20t24
5、已知序列x[k]={1,3,2,-5;k=0,1,2,3}分别取N=2,4,8对其频谱进行抽样,再有频域抽样点恢复时域序列,观察时域序列的混叠。
x=[1,3,2,-5]; n=0:3; N1 = 2; N2 = 4; N3 = 8; L=4; N = 256;
omega = [0:N-1]*2*pi/N;
Xk = 1 + 3*exp(-j*omega) + 2*exp(-j*2*omega) -5*exp(-j*3*omega); plot(omega./pi,abs(Xk)); omega1 = [0:N1-1]*2*pi/N1;
Xk1 = 1 + 3*exp(-j*omega1) + 2*exp(-j*2*omega1) - 5*exp(-j*3*omega1); figure
xr1=real(ifft(Xk1)); stem(xr1);
omega2 = [0:N2-1]*2*pi/N2;
Xk2 = 1 + 3*exp(-j*omega2) + 2*exp(-j*2*omega2) - 5*exp(-j*3*omega2); figure
xr2=real(ifft(Xk2)); stem(xr2);
omega3 = [0:N3-1]*2*pi/N3;
Xk3= 1 + 3*exp(-j*omega3) + 2*exp(-j*2*omega3) - 5*exp(-j*3*omega3); figure
xr3=real(ifft(Xk3)); stem(xr3);
98765432100.20.40.60.811.2Omega/PI1.41.61.82
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