Two finite length sequences x n and x 1 n are shown in Figure The N point DFTs of these sequences, X k and X 1 k , respectively, are relate by the equation X 1 k X k e j2 k2 N , where N is an unknown constant Can you determine a value of N consistent with Figure Is your choice for N unique If so, j...

Two finite-length sequences x[n] and x 1 [n] are shown in Figure. The N-point DFTs of these

Question:

Two finite-length sequences x[n] and x₁[n] are shown in Figure. The N-point DFTs of these sequences, X[k] and X₁[k], respectively, are relate by the equation

X₁[k] = X[k]e^j2?k2/N,

where N is an unknown constant. Can you determine a value of N consistent with Figure? Is your choice for N unique? If so, justify your answer. If not, find another choice of N consistent with the information given.