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Signal Processing

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    $\begingroup$ Really great answer. Well done. I'd be happy to see a code for this. I will open another question about upsampling. $\endgroup$ Commented Jan 4, 2021 at 13:14
  • $\begingroup$ Related to Fourier Like Spectral Analysis with Uneven Intervals and Redesigned DFT Matrix. $\endgroup$ Commented Jan 17, 2021 at 9:43
  • $\begingroup$ I still don't understand the change of upper bound of summation in the step "DFT". Could you explain more? $\endgroup$ Commented Jan 26 at 15:13
  • $\begingroup$ @ZiqiFan, The change is not motivated by identity. It is the definition. It only allows to see the connection between the coefficients of the Fourier Series and the DFT. $\endgroup$ Commented Jan 26 at 16:29
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    $\begingroup$ @ZiqiFan, This is always the case when dealing with DFT. You may look at it as assuming the signal is periodic, form the connection to the Fourier Series or multiplied by zeros from the connection to the Fourier Transform. Two sides of the same coin. $\endgroup$ Commented Jan 27 at 20:38