I have a desired filter magnitude response, i.e. $|H(j\omega)|$. How can I find the time-domain coefficients of a filter $h=[h_0, h_1, ..., h_{L-1}]$ that has a similar magnitude response such that $h_0=1$?

  • $\begingroup$ Why "constrained"? $\endgroup$ – Matt L. Jan 12 at 18:25
  • $\begingroup$ This is in the contest of noise shaping where $h_0=1$ is inherent. The actual filter coefficients are $h_1$ to $h_{L-1}$. $\endgroup$ – dsp_guy2020 Jan 12 at 18:40

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