This lecture introduces the concept of band-limited functions for continuous time signals, which have a finite support in frequency. The prototypical band-limited function is a rect of width fs in the frequency domain and a sink function in the time domain.
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Covers the theory of numerical methods for frequency estimation on deterministic signals, including Fourier series and transform, Discrete Fourier transform, and the Sampling theorem.
Covers the Fourier transform, its properties, applications in signal processing, and differential equations, emphasizing the concept of derivatives becoming multiplications in the frequency domain.
