Fourier Techniques and Signal Analysis
(3-0-0-3)
CMPE Degree: This course is Not Applicable for the CMPE degree.
EE Degree: This course is Not Applicable for the EE degree.
Lab Hours: 0 supervised lab hours and 0 unsupervised lab hours.
Technical Interest Group(s) / Course Type(s): Optics and Photonics
Course Coordinator:
Prerequisites: None.
Catalog Description
Introduction to the use of Fourier Methods for analysis of signals.Textbook(s)
The Fourier Transform and Its ApplicationCourse Outcomes
Not Applicable
Strategic Performance Indicators (SPIs)
Not Applicable
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