Impulse-train Sampling: The Sampling Theorem

This lecture covers impulse-train sampling and the sampling theorem, explaining the process of sampling signals, representing signals by samples, and reconstructing signals from samples. It delves into the frequency domain, discussing the convolution in frequency, Dirac Comb pairs, and the implications of band-limited signals. The instructor emphasizes the importance of band-limited signals and demonstrates how to reconstruct a signal from its samples using an impulse train and a low pass filter. The lecture concludes with a detailed explanation of the sampling theorem, highlighting the conditions under which a band-limited signal can be uniquely determined by its samples.