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1. We have specified the cost function that is minimized in an equiripple FIR filter design as E = max |W (w) [Ha(w) — H(w)]] ΘΕΩ where H(w) is the frequency response achieved in the design and where the other entities in the expression for E are the specified design parameters. Suppose you want to design a length M bandpass filter with passband [0.2, 0.5], with transition bands of width 0.05 on each side of the passband, and with stopband ripple 1/3 the size of the passband ripple. Specify N, W(w), and Ha(w) in E in order to achieve this objective.

1. We have specified the cost function that is minimized in an equiripple FIR filter design as E = max |W (w) [Ha(w) — H(w)]] ΘΕΩ where H(w) is the frequency response achieved in the design and where the other entities in the expression for E are the specified design parameters. Suppose you want to design a length M bandpass filter with passband [0.2, 0.5], with transition bands of width 0.05 on each side of the passband, and with stopband ripple 1/3 the size of the passband ripple. Specify N, W(w), and Ha(w) in E in order to achieve this objective.

Introductory Circuit Analysis (13th Edition)
Introductory Circuit Analysis (13th Edition)
13th Edition
ISBN:9780133923605
Author:Robert L. Boylestad
Publisher:Robert L. Boylestad
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1. We have specified the cost function that is minimized in an equiripple FIR filter design as E = max |W (w) [Ha(w) — H(w)]| ΘΕΩ where H(w) is the frequency response achieved in the design and where the other entities in the expression for E are the specified design parameters. Suppose you want to design a length M bandpass filter with passband [0.2, 0.5], with transition bands of width 0.057 on each side of the passband, and with stopband ripple 1/3 the size of the passband ripple. Specify , W(w), and Ha(w) in E in order to achieve this objective.
Transcribed Image Text:1. We have specified the cost function that is minimized in an equiripple FIR filter design as E = max |W (w) [Ha(w) — H(w)]| ΘΕΩ where H(w) is the frequency response achieved in the design and where the other entities in the expression for E are the specified design parameters. Suppose you want to design a length M bandpass filter with passband [0.2, 0.5], with transition bands of width 0.057 on each side of the passband, and with stopband ripple 1/3 the size of the passband ripple. Specify , W(w), and Ha(w) in E in order to achieve this objective.
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Step 1

Given the data,

E=maxω∈ΩwωHdω-Hw

Hw frequency response ahecived in the design 

 

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