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(ejω) = 1.5 + cos(2ω),− π ≤ ω ≤ π.
(a) Is |H(ejω)| = H(ejω)? 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(ejω) = e−jNω H(ejω) determine the value of the positive integer N so that H1 (ejω) has linear phase. Use the impulse response h[n] found above to find the impulse response h1[n].
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