A low-pass IIR discrete filter has a transfer function (a) Find the poles and zeros of this

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A low-pass IIR discrete filter has a transfer function

H(z) = 0.5

(a) Find the poles and zeros of this filter.

(b) Suppose that you multiply the impulse response of the low-pass filter by (ˆ’1)ⁿ so that you obtain a new transfer function

H1 (z) = (-0.5)

Find the poles and zeros for H₁(z). What type of filter is it?

(c) Is it true, in general, that if every zin a low-pass filter transfer function is changed into €“z you obtain a high-pass filter? Explain.

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Signals and Systems using MATLAB

ISBN: 978-0123948120

2nd edition

Authors: Luis Chaparro

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Question Posted: Dec 29, 2018 07:14 AM

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A low-pass IIR discrete filter has a transfer function (a) Find the poles and zeros of this

Question:

H(z) = 0.5"z-" --n n=0 H1 (z) = (-0.5)"z-" n=0

Step by Step Answer:

a b In rational form with a zero at z 0 and a pole at z 05 The filter is a lowpass filter w...View the full answer

Signals and Systems using MATLAB

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