Two finite-length sequences x[n] and x1[n] are shown in Figure P8.20. The N-point DFTs o...

Two finite-length sequences x[n] and x₁[n] are shown in Figure P8.20. The N-point DFTs of these sequences, X [k] and X₁[k], respectively, are related by the equation

where N is an unknown constant. Can you determine a value of N consistent with Figure P8.20? Is your choice for N unique? If so, justify your answer. If not, find another choice of N consistent with the information given.