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

Frequency Analysis: Fourier Transforms

Frequency Analysis: Fourier Transforms#

Building on the Fourier series, this chapter explores the Fourier transform, which extends the analysis to non-periodic signals. We will discuss the properties, computation, and practical applications of the Fourier transform.