The 20-point signal x(n) is given by x(n) = sin(22n/N) , 0 n N 1 where N = 16. (a) Roughly sketch the signal for 0 n 15. Do not explicitly calculate the values. (b) Find the DFT coefficients of the signal. That means, find X(k) for 0 k 15. Show the derivation of your answer. You should not use direct computation of the DFT.

c) Is it possible to design Ideal Filter? Put your thought 4

process on to it. (Use Suitable diagrams and waveforms

to justify your answer)