H.(8) = + () 2N

Introductory Circuit Analysis (13th Edition)
13th Edition
ISBN:9780133923605
Author:Robert L. Boylestad
Publisher:Robert L. Boylestad
Chapter1: Introduction
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You are given an Nth-order Butterworth filter, H.(jN) with a 3-dB cutoff frequency of
Ne, whose transfer function in the Laplace domain is:
1
H.(s) =
2N
1+
jNe
a) What is the magnitude response, H(w) of this discrete-time filter for a sampling period of T = 2/2e,
filter order of N = 1, and a frequency of w = 1/2?
Transcribed Image Text:You are given an Nth-order Butterworth filter, H.(jN) with a 3-dB cutoff frequency of Ne, whose transfer function in the Laplace domain is: 1 H.(s) = 2N 1+ jNe a) What is the magnitude response, H(w) of this discrete-time filter for a sampling period of T = 2/2e, filter order of N = 1, and a frequency of w = 1/2?
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