The frequency response of a filter is H(e j ) = 1.5 + cos(2),

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The frequency response of a filter is H(e^jω) = 1.5 + cos(2ω),− π ≤ ω ≤ π.

(a) Is |H(e^jω)| = H(e^jω)? Is phase zero?

(b) Find the impulse response h[n]of this filter. What type of filter is it? FIR? IIR? Is it causal? Explain.

(c) Let H₁(e^jω) = e^−jNω H(e^jω) determine the value of the positive integer N so that H₁ (e^jω) has linear phase. Use the impulse response h[n] found above to find the impulse response h₁[n].

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Signals and Systems using MATLAB

ISBN: 978-0123948120

2nd edition

Authors: Luis Chaparro

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Question Posted: Dec 29, 2018 07:03 AM

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The frequency response of a filter is H(e j ) = 1.5 + cos(2),

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a Yes He j 0 and real with zero phase b Impulse response It can also be foun...View the full answer

Signals and Systems using MATLAB

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