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I'm studying for a test, and found this question in one of the previous exams but there is no solution and I was not able to solve it myself.

It would be very helpful if anybody could help =]

1. The problem statement, all variables and given/known data

h(t) is an analog IIR filter, with the poles λ_1 = -1, λ_2 = -1+i, λ_3 = -1-i and no zeros. let h[n] be a digital IIR filter with poles which defined by e^λ_i and no zeros. is h[n] a high pass filter?

2. Relevant equations

--

3. The attempt at a solution

I thought about using some transformation or something like that

but i got stuck, and was unable to prove/disprove.

Thanks.

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# DSP - IIR filter, anlog to digital

Can you offer guidance or do you also need help?

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