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This lecture covers the theory of signal sampling, focusing on interpolation functions. It starts with a recap of signal sampling, discussing frequencies, bandwidth, and filtering. The lecture then delves into the reconstruction of a signal from its sampled version, exploring different interpolation techniques such as polynomial fitting and the use of the sinc function. The importance of choosing the right interpolation function for accurate signal reconstruction is emphasized. The lecture concludes with a discussion on the sampling theorem and its significance in signal processing.