Suppose we have two four-point sequences x[n] and h[n] as follows: (a) Calc...

Suppose we have two four-point sequences x[n] and h[n] as follows:

(a) Calculate the four-point DFT X [k].

(b) Calculate the four-point DFT H[k].

(c) Calculate y[n] = x[n] h[n] by doing the circular convolution directly.

(d) Calculate y[n] of part (c) by multiplying the DFTs of x[n] and h[n] and performing an inverse DFT.