MATLAB: DFT of complex sine wave

dftMATLABsine

Hello,

I have to calculate the DFT of the following signals sampled at 32 kHz. Plot the magnitude, phase, real and imaginary parts of the DFT coefficients.

I have done dft of simple sinewave, but nothing like this.

Please help me 🙂

x = sin(2*pi*8000*t) + j*sin(2*pi*8000*t), signal length: 8 samples

Best Answer

You will need these functions: abs, angle, real, imag.

I leave the rest to you.

Related Solutions

MATLAB: How to go from frequency response of simple delay to impulse response.

   Fs = 2000;
   N = 12000;
   dF = Fs/N;
   f = (-Fs/2:dF:Fs/2-dF)';
   tau = 5;
   H = exp(-1i*2*pi*f*tau);
   h = real(ifft(ifftshift(H)));
   dt = 1/Fs;
   t = dt*(0:N-1)';
   plot(t,h);

MATLAB: Question of FFFT in Matlab

The frequency of the sine wave is defined as 128 Hz (f = 128) in the above code. Hence there will be two impulses (ideally, but here since x is just an approximation of the sine wave you can observe peaks at that frequency) at 128 Hz and -128Hz in the FFT output.

If you take FFT with N = 128 or N = 100, x is truncated to match the length of N and FFT is computed on the resultant x.

If the frequency f is changed to 100, you could observe a peak at 100Hz.

Best Answer

Related Solutions

MATLAB: How to go from frequency response of simple delay to impulse response.

MATLAB: Question of FFFT in Matlab

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