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ECE Course Syllabus
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
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