Math 152: Fourier and Wavelet Series, Winter 2018TuTh 9:3010:50am, Center 109 General DescriptionThis course covers useful bases for representing signals and functions, with an emphasis on both theory and computation. The goal of the course is to introduce the student to some basic concepts of Fourier analysis and wavelet theory, as well as to some of their applications in engineering (specifically to signal processing). Topics include: Fourier series, Discrete Fourier analysis, the Haar system, Multiresolution Analysis and wavelets bases, and frames, with some discussion of the Fourier transform and Shannon sampling theorem. A noncomplete list of applications of these techniques are audio and image analysis, multiresolution analysis, filters, and waveletbased image compression like JPEG2000. TextbookA. Boggess & F. J. Narcowich, A First Course in Wavelets with Fourier Analysis, Prentice Hall, (2001). Additional textbook: David F. Walnut, An Introduction to Wavelet Analysis, Birkhauser Boston (2002). Tentative Course Outline and HomeworkFinal is scheduled for Tuesday 320 from 811am SyllabusA full syllabuls for the course can be found here Announcements
Class Notes
Instructor: Alex Cloninger
TAs: Jingwen Liang
TAs: Eric Evert
