6. Suppose that Ha(s) is an analog bandpass filter whose half-power frequencies are ₁and №₂. (That is, |H(ji)| = √2/2 for i = 1,2 and the magnitude is close to one inbetween these frequencies.) You want to apply a bilinear transformation to Ha(s) toobtain a digital filter H(z). For which of the following pairs of frequencies ₁ and 2 isit possible to obtain H(z) having half-power frequencies of w = 57/12 and w = 7π/12?(a) Ως = 200 and ₂ = 285(b) ₁111 and₂ 200=(c) Ως300 and(d) Ως = 600 and=2 = 547₂ = 1019

Answered: 6. Suppose that Ha(s) is an…

Introductory Circuit Analysis (13th Edition)

13th Edition

ISBN:9780133923605

Author:Robert L. Boylestad

Publisher:Robert L. Boylestad

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6. Suppose that Ha(s) is an analog bandpass filter whose half-power frequencies are ₁
and №₂. (That is, |H(ji)| = √2/2 for i = 1,2 and the magnitude is close to one in
between these frequencies.) You want to apply a bilinear transformation to Ha(s) to
obtain a digital filter H(z). For which of the following pairs of frequencies ₁ and 2 is
it possible to obtain H(z) having half-power frequencies of w = 57/12 and w = 7π/12?
(a) Ως = 200 and ₂ = 285
(b) ₁
111 and
₂ 200
=
(c) Ως
300 and
(d) Ως = 600 and
=
2 = 547
₂ = 1019

Expert Solution

Step 1

Introduction

Analog bandpass filters

Analog bandpass filters are electronic devices used to filter out frequencies outside of specific ranges in order to reduce or amplify signals in a specific bandwidth. They are often used in radio, TV, telecommunications, and other audio/visual applications.

Given Data

Half power frequencies,

$ω_{1} = \frac{5 π}{12}$

$ω_{2} = \frac{7 π}{12}$

To determine

The pair of frequencies $Ω_{1}$ and $Ω_{2}$ .

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