Feasible LID Systems: Transfer Functions and Stability Analysis

This lecture covers the concept of feasible LID systems, which are characterized by being implementable with a finite number of memory registers. The evolution of a feasible LID system is governed by a rational transfer function, ensuring stability when the poles are inside the unit circle. The lecture also discusses the implementation parameters, storage memory, and complexity considerations in modern computing. Different forms of direct implementation, including canonical and non-canonical recursive approaches, are explored in the context of IIR filters. The presentation delves into the implications of reflection coefficients, trellis implementation, and the Schur-Cohn test for stability analysis.