Signals & Systems II: Convolution Stability and Operators

This lecture covers the algebra of LID operators, commutativity, iteration, and the stability of LID operators. It discusses the convolution operator, compositional stability, and the properties of convolution operators. The lecture also explores the concept of injective operators, reverse operators, and examples of inverse operators. Additionally, it delves into the discrete Young inequality, the discrete-continuous passage, and the properties of the Z-transform. The presentation concludes with a detailed explanation of the discrete convolution, the transformation into Z, and the properties of Z-transform.