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.
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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.](/v2/_next/image?url=https%3A%2F%2Fcontent.bartleby.com%2Fqna-images%2Fquestion%2F3831194d-a4dd-43eb-950f-f7d241d3bcca%2Fe9a969cb-c569-42b9-a2c3-5f1aba1eb421%2Falkpf0f_processed.jpeg&w=3840&q=75)
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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Given the data,
frequency response ahecived in the design
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