(Solution) - Assume that x n is a 1000 point sequence obtained by sampling -(2025 Original AI-Free Solution)

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Assume that x[n] is a 1000-point sequence obtained by sampling a continuous-time signal xc(t) at 8 kHz and that Xc(j?) is sufficiently bandlimited to avoid aliasing. What is the minimum DFT length N such that adjacent samples of X[k] correspond to a frequency spacing of 5 Hz or less in the original continuous-time signal?