豆面豆萁:MATLAB的实现Hilbert变换程序_matlab

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MATLAB的实现Hilbert变换程序如下:
N=20;n=0:N-1;xn=cos(0.2*pi*n);hxn=hilbert(xn);%part 1%compare FFT[x(n)] and FFT[Hilbert[x(n)]]Xk=fft(xn);hXk=fft(hxn);aXk=abs(Xk);ahXk=abs(hXk);pXk=phase(Xk);phXk=phase(hXk);k=0:N-1;subplot(2,2,1),stem(k,aXk)xlabel('k');title('amplitude of FFT[x(n)]');subplot(2,2,2),stem(k,pXk)xlabel('k');title('phase of FFT[x(n)]');subplot(2,2,3),stem(k,ahXk)xlabel('k');title('amplitude of Hilbert[x(n)]');subplot(2,2,4),stem(k,phXk)xlabel('k');title('phase of FFT[Hilbertx(n)]');%part 2%method:if sum(xn.*hxn) is closely 0add=sum(xn.*hxn)%part 3:compare expansion function yhilbert.m and hilbert.my=hilbert(xn);hxnsn=sin(0.2*pi*n)yn=imag(y)
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