ECE6500 Course Syllabus

ECE6500

Fourier Techniques and Signal Analysis (3-0-3)

Technical Interest
Group

Optics and Photonics

Prerequisites

None

Corequisites

None

Catalog Description

Introduction to the use of Fourier Methods for analysis of signals.

Textbook(s)

Bracewell, The Fourier Transform and Its Application (3rd edition), McGraw Hill, 1999. ISBN 9780073039381 (required)

Strategic
Performance
Indicators (SPIs)

SPIs are a subset of the abilities a student will be able to demonstrate upon successfully completing the course.

Topical Outline

2.	Properties of Fourier Transforms
a.	Convolution and Correlation
b.	Periodic Functions and Fourier Series
3.	Time-Frequency Properties
4.	Sampling and Replication
5.	Multi-dimensional Fourier Transform
6.	Bessel Functions and Hankel Transform
7.	Bilateral and Unilateral Laplace Transform
8.	Scientific, Mathematical, and Engineering Applications
9.	Analytic Signals and Hilbert Transform
a.	Kramers-Kronig relations 
10.	Relatives of the Fourier Transform