Question: What is the effect of a delayed feedback path with nonunity gain G on a sinusoid of frequency corresponding to the delay? Plot the effective gain as a function of G.

I think this will amplify successive periods of the sinusoid, with it becoming unstable and growing to infinity. Does that sound correct?

I'm a bit confused by this topic so I wanted to check my understanding. Id really appreciate any help, thanks!

  • $\begingroup$ Hi moinudin! This sounds like a homework problem or quiz? We're happy to help with your learning; It may become unstable or it may converge, and I am guessing your complete understanding of that is the purpose of this exercise and to know the difference when that occurs. What course is this for? $\endgroup$ Mar 7 at 20:32
  • $\begingroup$ They're questions in a book I'm studying alone, and not being part of a class when I get stuck I have nowhere else to go really. I see how it can become unstable, but not how it could converge. The delay is equal to the frequency, so won't each successive cycle be larger? $\endgroup$
    – moinudin
    Mar 7 at 21:21
  • $\begingroup$ What book and what is your background? What is your motivation in studying this (trying to find the right starting point and understand where you are headed; I might recommend some further study first) $\endgroup$ Mar 7 at 21:53
  • $\begingroup$ I'm reading Digital Signal Processing by Jonathan Stein. It's targeted at Computer Scientists, which is my background. My motivation for studying is to build an Android app for processing Arabic speech. $\endgroup$
    – moinudin
    Mar 7 at 22:15
  • $\begingroup$ This is the problem I'm working towards trying to solve: dsp.stackexchange.com/questions/73342/… $\endgroup$
    – moinudin
    Mar 7 at 22:15

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