Signals and Systems Unit IV & V – Laplace and Z Transform (Concise Class Notes)

These notes provide a concise class notes of Unit IV and Unit V of Signals and Systems, focusing on transform-domain analysis of signals and systems. Unit IV covers the Laplace Transform, including its definition, conditions of existence, region of convergence (ROC), and important properties. The notes summarize methods for finding the inverse Laplace transform and highlight applications of Laplace transform in continuous-time LTI system analysis, including stability and system behavior. Unit V introduces the Z-Transform for discrete-time signals. Topics include definition, ROC, properties of Z-transform, methods of finding the inverse Z-transform, and its application in the analysis of discrete-time LTI systems. Emphasis is placed on formulae, steps, and results commonly required in exams. These notes are exam-oriented and revision-focused, intended for quick understanding and last-minute preparation, not as a detailed textbook replacement.