Fourier Techniques and Signal Analysis
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
Catalog DescriptionIntroduction to the use of Fourier Methods for analysis of signals.
Textbook(s)The Fourier Transform and Its Application
Student OutcomesIn the parentheses for each Student Outcome:
"P" for primary indicates the outcome is a major focus of the entire course.
“M” for moderate indicates the outcome is the focus of at least one component of the course, but not majority of course material.
“LN” for “little to none” indicates that the course does not contribute significantly to this outcome.
1. ( Not Applicable ) An ability to identify, formulate, and solve complex engineering problems by applying principles of engineering, science, and mathematics
2. ( Not Applicable ) An ability to apply engineering design to produce solutions that meet specified needs with consideration of public health, safety, and welfare, as well as global, cultural, social, environmental, and economic factors
3. ( Not Applicable ) An ability to communicate effectively with a range of audiences
4. ( Not Applicable ) An ability to recognize ethical and professional responsibilities in engineering situations and make informed judgments, which must consider the impact of engineering solutions in global, economic, environmental, and societal contexts
5. ( Not Applicable ) An ability to function effectively on a team whose members together provide leadership, create a collaborative and inclusive environment, establish goals, plan tasks, and meet objectives
6. ( Not Applicable ) An ability to develop and conduct appropriate experimentation, analyze and interpret data, and use engineering judgment to draw conclusions
7. ( Not Applicable ) An ability to acquire and apply new knowledge as needed, using appropriate learning strategies.
Strategic Performance Indicators (SPIs)
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