Let the finite length sequence
x(n)=D(n) + 0.5D(n-5)
a) Find the z-transform and the Fourier transform of x(n).
b) Find the N-point DFT of x (n) for N=50,10 and 5.
c) How area the DFT values for n=5 related to those of the DFT for N=50.
d) Specify the relationship between N-point DFT of x (n) and the Fourier transform of x(n).