The frequency response of an ideal low-pass filter is 1 -1/2 < w <1/2 0 otherwise in
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(a) Find the impulse response h[n] of this filter. Is this filter causal?
(b) Suppose that the input of this filter x[n] has a DTFT X(ejÏ) = H(ejÏ), what is the output of the filter y[n].
(c) According to the above result, does that mean that (h h) [n] = h[n]? Explain.
Transcribed Image Text:
1 -1/2 < w <1/2 0 otherwise in (–x,7] H(") = ||
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