Signals & Systems I: Characteristic Modes and Impulse Responses

This lecture covers the solutions of characteristic modes in signals and systems, including mixed modes, oscillating modes, and exponential modes. It also discusses the concept of causal green functions, inverse operators, and the convolution property of causal exponentials. The lecture further explores the determination of impulse responses, generalized differential systems, and the stability of physical causal systems, focusing on BIBO stability and the position of characteristic roots.