By considering the geometric interpretation of the magnitude of the Fourier transform
Chapter 10, Problem 10.12(choose chapter or problem)
By considering the geometric interpretation of the magnitude of the Fourier transform from the pole-zero plot, determine, for each of the following z-transforms, whether the corresponding signal has an approximately lowpass, bandpass, or highpass characteristic: -1 (a) X(z) = z 8 _ 1 , lzl > ~ 1 + gZ 1 + __z- 1 (b) X(z) = 9 lzl > ~ 1 - ~z- 1 + ~z- ' 9 81 1 I 8 (c) X(z) = 1 64 _ 2 , zl > 9
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