The FIR filter М-1 H(2) = h(n)z¯", n=0 is said to have an antisymmetric impulse response when h(n) = -h(M – 1 – n), n=0, 1,..., M – 1. (a) Assuming that the filter length M is odd, determine expressions for the frequency response of the filter at zero frequency and at half the sampling frequency. (b) Four basic filter types are lowpass, highpass, bandpass, and bandstop. Indicate for which of these filter types an odd-length, antisymmetric FIR filter is inappro- priate.

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2. The FIR filter
М-1
H(2) = h(n)z",
n=0
is said to have an antisymmetric impulse response when
h(n) 3 —h(М — 1- п), п%3D0, 1, ...., М -1.
(a) Assuming that the filter length M is odd, determine expressions for the frequency
response of the filter at zero frequency and at half the sampling frequency.
(b) Four basic filter types are lowpass, highpass, bandpass, and bandstop. Indicate
for which of these filter types an odd-length, antisymmetric FIR filter is inappro-
priate.
Transcribed Image Text:2. The FIR filter М-1 H(2) = h(n)z", n=0 is said to have an antisymmetric impulse response when h(n) 3 —h(М — 1- п), п%3D0, 1, ...., М -1. (a) Assuming that the filter length M is odd, determine expressions for the frequency response of the filter at zero frequency and at half the sampling frequency. (b) Four basic filter types are lowpass, highpass, bandpass, and bandstop. Indicate for which of these filter types an odd-length, antisymmetric FIR filter is inappro- priate.
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