Wavelet functions are those functions such that their integer translate and two-scale dilations, i.e., f(2^m x-n) for all integer m and n form a Riesz basis for the space of all square integrable functions. Such functions provide a good basis for approximating signal and images. Both the properties and constructions of these functions will be studied.
The following is a list of reference books:[1] C. K. Chui, An Introduction to Wavelets, Academic Press, 1992.
[2] C. K. Chui, Wavelets: A mathematical tool for signal analysis, SIAM Publications, 1997.
[3] I. Daubechies, Ten Lectures on Wavelets, SIAM Publications, 1992.
[4] G. Strang and T. Nguyen, Wavelets and Filter Banks, Wellesley-Cambridge Press, 1997.
[5] M. Vitterli and J. Kovacevic, Wavelet and Subband Coding, Prentice Hall, 1995.
In the spring of 1996, I taught wavelets. The course number is MAT894. To see the topics, syllabus, and textbook I used, click here.
In the fall of 1997, I taught wavelets again. The course number is MAT894. To see the topics, syllabus, and textbook I used, click here.In the fall of 2000, I am teaching wavelets again. The course number is MAT8550. To see the topics, syllabus, and textbook I used, click here.