Question: Consider the signal x(n) = anu(n), |a| < 1. (a) Determine the spectrum X(). (b) The signal x(n) is applied to a decimator that reduces

Consider the signal x(n) = anu(n), |a| < 1.
(a) Determine the spectrum X(ω).
(b) The signal x(n) is applied to a decimator that reduces the rate by a factor of 2. Determine the output spectrum.
(c) Show that the spectrum is part (b) is simply the Fourier transform of x(2n).

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