Consider the cascade of two filters with frequency responses H 1 (j) = j, and H 2

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Consider the cascade of two filters with frequency responses

H₁(jΩ) = jΩ, and H₂(jΩ) = 1e^−j^Ω

(a) Indicate what each of the filters does.

(b) Suppose that the input to the cascade is

x(t) = p(t) cos(πt/2), where p(t) = u(t + 1) − u(t − 1)

and the output is y(t). Find y(t).

(c) Suppose the cascading of the filters is done by putting first the filter with frequency response H₂(jΩ)followed by the filter with frequency response H₁(jΩ). Does the response change? 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 28, 2018 10:56 AM

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Consider the cascade of two filters with frequency responses H 1 (j) = j, and H 2

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a Filter corresponding to H 1 j calculates the derivat...View the full answer

Signals and Systems using MATLAB

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