ELEC 221 Signals and Systems

Introduction

Introduction

Continuous-Time Signals

Continuous-Time Signals

Continuous-Time Systems

Continuous-Time Systems

Laplace Transforms

Laplace Transforms

Frequency Analysis – Fourier Series

Frequency Analysis: Fourier Series

Frequency Analysis – Fourier Transforms

Frequency Analysis: Fourier Transforms

Sampling Theory

Sampling Theory

Discrete-Time Signals and Systems

Discrete-Time Signals and Systems

Z-Transforms

Z-Transforms

Fourier Analysis of Discrete-Time Systems

Fourier Analysis of Discrete-Time Systems

State-Space Representations

State-Space Representations

Laplace Transforms

Laplace Transforms#

The Laplace transform is a versatile tool for analyzing linear time-invariant systems. In this chapter, we will explore the definition, properties, and applications of the Laplace transform in solving differential equations and analyzing system behavior.