For example, if X(z) -> {downsampled by 2} -> {upsampled by 2} -> Y(z)

Given that: X(z) = 1+z^2+z^12+z^19

How do I compute the value of Y(z)?

  • $\begingroup$ well, you know what down- and upsampling does in time domain, right? $\endgroup$ May 10, 2021 at 11:47
  • $\begingroup$ Yes, i know what it does in time domain. But I am unsure how to calculate it mathematically $\endgroup$ May 10, 2021 at 11:58
  • $\begingroup$ well, you start by literally writing the result down in time domain. then you think about whether your system is LTI, such that you can describe Y() as linear function of X() in z-domain. So, try to write it down in your question, and describe where the problem then arisies, and we can work from there. $\endgroup$ May 10, 2021 at 12:16


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