This course introduces the students to the theory of wavelets and
filter banks, and highlights some of their applications. Emphasis will
be on recent advances in the field, in particular on sparse
representations, that enable fast and ecient signal/image analysis and
reconstruction. Students taking this course will learn about modern
signal processing techniques for biomedical imaging, data
communication, signal estimation and classi cation, computer network
security, and audio/image coding. Some of these techniques are part of
our everyday life, e.g. JPEG2000 wavelet coding for image compression.
Textbooks:
Stephane Mallat, A Wavelet Tour of Signal Processing: The Sparse Way, 3rd ed., Academic Press, 2008.
Martin Vetterli and Jelena Kovacevic, Wavelets and Subband Coding, Prenctice Hall, 1995.
Martin Vetterli, Jelena Kovacevic, and Vivek Goyal, The World of Fourier and Wavelets, April 2008, Unpublished Manuscript.
Additional Reading:
Ingrid Daubechies, Ten Lectures on Wavelets, SIAM, 1992.
Gerald Kaiser, A Friendly Guide to Wavelets, Birkhauser, 1994.