(a) Determine the Fourier transform of the sequence (b) Consider the se...

(a) Determine the Fourier transform of the sequence

(b) Consider the sequence

Sketch w[n] and express W(e^jω), the Fourier transform of w[n], in terms of R (e^jω), the Fourier transform of r[n]. (Hint: First express w[n] in terms of r[n] and the complex exponentials e^{j (2πn/M)} and e^{−j (2πn/M)}.)

(c) Sketch the magnitude of R (e^jω) and W (e^jω) for the case when M = 4.