Signal Sampling: General Theorem

This lecture covers the general theorem of signal sampling, emphasizing the concept that any signal can be represented as a sum of sinusoids. It delves into topics such as bandwidth, spectrum, ideal filters, and interpolation techniques. The instructor explains the complexities of reconstructing a signal from its sampled version, highlighting the challenges and limitations of interpolation formulas. The lecture also explores the role of sinc functions, aliasing effects, and the importance of sampling frequency in signal reconstruction. Through practical examples and illustrations, students gain insights into the sampling theorem and the critical relationship between sampling frequency and signal bandwidth.