Suppose that x1[n] and x2[n] are two finite-length sequences of length N, i.e., x1[n] =...

Suppose that x₁[n] and x₂[n] are two finite-length sequences of length N, i.e., x₁[n] = x₂[n] = 0 outside 0 ≤ n ≤ N −1. Denote the z-transform of x₁[n] by X₁(z), and denote the N-point DFT of x₂[n] by X₂[k]. The two transforms X₁(z) and X₂[k] are related by

Determine the relationship between x₁[n] and x₂[n].