(a) Given x(n) = 2n+ (a-b) ; for n from 0 to 15; where a and b are the last non- zero digits of your matric number. Calculate the DFT coefficients using DIF FFT method. Please include full numerical calculations in your answer, otherwise you will not get full marks. Note : a=2 b=5

(b) Demonstrate that the IDFT can be calculated using FFT method to get the x(n) sequence back. Please include full numerical calculations in your answer, otherwise you will not get full marks.