Fall 2009

Wavelet and Fourier Analysis

Listed in: Mathematics and Statistics, as MATH-19


Tanya L. Leise (Section 01)


The first half of the course covers continuous and discrete Fourier transforms (including convolution and Plancherel’s formula), Fourier series (including convergence and the fast Fourier transform algorithm), and applications like heat conduction along a rod and signal processing. The second half of the course is devoted to wavelets: Haar bases, the discrete Haar transform in 1 and 2 dimensions with application to image analysis, multiresolution analysis, filters, and wavelet-based image compression like JPEG2000. Three class hours per week plus a weekly one-hour computer laboratory.

Requisite: Mathematics 13 and 21 or 22.  Fall semester.  Professor Leise.


2022-23: Not offered
Other years: Offered in Fall 2009, Fall 2011, Fall 2013, Fall 2015, Fall 2017, Fall 2019