This lecture covers signal representations using Fourier transforms, projection theorems, and general bases. It discusses the concept of subspace with orthonormal basis and the uncertainty principle in the time-frequency plane.
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Covers the Fourier transform, its properties, applications in signal processing, and differential equations, emphasizing the concept of derivatives becoming multiplications in the frequency domain.
Covers the theory of numerical methods for frequency estimation on deterministic signals, including Fourier series and transform, Discrete Fourier transform, and the Sampling theorem.
