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This lecture covers the concepts of narrow and spread spectrum communications, harmonic signals, and parametric line spectrum estimation. It delves into the analysis of signals in the frequency domain, the use of annihilating filters, and the MUSIC algorithm for estimating the spectrum of noisy harmonic signals. Practical examples and numerical implementations are discussed, emphasizing the challenges and methods for spectral estimation. The lecture also explores the correlation matrix, eigendecomposition, and pseudospectrum evaluation using MATLAB tools.