DFT Properties II You are given a N length signal (where N is even) such that:
x[n]=u[n]−u[n−N/2],n=0,1,2,…N−1
where u[n] is a unit step function defined as:
u[n]={1, n≥0
{0, n<0
Find the sequence y[n] such that its DFT is Y[k]=X[k]^2.