Signals & Systems II: Sampling and Signal Representation

This lecture covers the concepts of sampling, signal representation, point transformations, convolution modules, and signal vector spaces. It explains the relationship between continuous and discrete signals, the properties of periodic and aperiodic signals, and the canonical representation of discrete signals. The instructor discusses the shift operator, under-sampling, over-sampling, and the finite energy signal spaces. Additionally, the lecture explores the concept of orthonormal bases in signal spaces and the mathematical simplicity of discrete signals compared to continuous signals.