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This lecture covers examples of Discrete Fourier Transform (DFT) calculations using the formula x[n] = 3 cos(2π/16 n). It explains the step-by-step process of computing DFT for different values of n, including the manipulation of complex numbers and the interpretation of results. The lecture also delves into the DFT calculation for varying frequencies and phase shifts, providing insights into the mathematical operations involved in signal processing.