Consider 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)what is the relationship between the N-point DFT of x(n) and the Fourier transform of x(n)