(adsbygoogle = window.adsbygoogle || []).push({}); 1. The problem statement, all variables and given/known data

Digital causal recursive filter is a part of a digital signal processing system which has sampling frequency ##fs = 1200Hz## and is given by a differece equation:

where ##r = 0.9## and ##θ## is such that it filters out the spectral components at ##f = 200Hz##

Find ##H(z)## and graph the poles and zeros of this filter.

2. Relevant equations

3. The attempt at a solution

I'm having trouble figuring out how to determine the ##θ## in this equation. I did find the ##H(z)## in function of ##cos(\theta)## but still made no progress on determining it. How does the fact that it filters out ##200Hz## help me in this case? Is it something with the location of the zero or a pole on the plane?

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# Problem understanding a parameter in a digital filter

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