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Wavelets, Their Friends, and What They Can Do for You
EMS Series of Lectures in Mathematics

Martin J. Mohlenkamp (Ohio University, Athens, USA)
María Cristina Pereyra (University of New Mexico, Albuquerque, USA)

Wavelets, Their Friends, and What They Can Do for You

ISBN print 978-3-03719-018-0, ISBN online 978-3-03719-518-5
DOI 10.4171/018
June 2008, 119 pages, softcover, 17.0 x 24.0 cm.
24.00 Euro

So what is all the fuss about wavelets?

You can find out by reading these notes. They will introduce you to the central concepts surrounding wavelets and their applications. By focusing on the essential ideas and arguments, they enable you to get to the heart of the matter as quickly as possible. They then point you to the appropriate places in the literature for detailed proofs and real applications, so you can continue your study.

They begin with the notion of time-frequency analysis, present the multiresolution analysis and basic wavelet construction, introduce you to the many friends, relatives and mutations of wavelets, and finally give a selection of applications.

They are suitable for beginning graduate students and above. A preliminary chapter containing some of the prerequisite concepts and definitions is included for reference.

Keywords: Wavelet, time-frequency analysis, multiresolution analysis, fast wavelet transform, filter banks

Further Information

Review in Zentralblatt MATH 05294597

Review in MR 2438140