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Signal Processing

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    $\begingroup$ Why are you not sure? I mean, you sound like you know why it's a sinc for the lpf, so calculate the same transform for the perfect HPF! (by the way, "superposition" in the sense "sum of exactly one summand"). $\endgroup$ Commented Feb 25, 2018 at 20:02
  • $\begingroup$ I tried to apply it to the case of an ideal high pass filter whose frequency response comprises two shifted unit step functions but the inverse Fourier transform of that involves delta functions that I can't get rid of $\endgroup$ Commented Feb 25, 2018 at 20:19
  • $\begingroup$ I honestly don't see any delta dirac functions that you need to get rid of here - can you add your calculation to your question (by editing it), please? $\endgroup$ Commented Feb 25, 2018 at 20:27
  • $\begingroup$ I just added my attempt to my question. $\endgroup$ Commented Feb 25, 2018 at 20:49