Wavelets: A Primer Wavelets. English

The Wavelet Transform has stimulated research that is unparalleled since the invention of the Fast Fourier Transform and has opened new avenues of applications in signal processing, image compression, radiology, cardiology, and many other areas. This book grew out of a short course for mathematics students at the ETH in Zurich; it provides a solid mathematical foundation for the broad range of applications enjoyed by the wavelet transform. Numerous illustrations and fully worked out examples enhance the book. Booknews An introduction to the new mathematical technique of wavelet transform, which has been applied to the fields of signal processing, image compression, radiology, and cardiology. Features multiresolution analysis with fast algorithms and the construction of orthonormal wavelets with compact support. Originally published in German by Vieweg-Verlag. Annotation c. by Book News, Inc., Portland, Or. This Book Grew Out Of A Short Course For Mathematics Students At The Eth In Zurich; It Provides A Solid, Yet Accessible, Mathematical Foundation For Those Interested In Learning About Wavelets And Pursuing The Broad Range Of Applications For Which The Wavelet Transform Has Proved Successful. Numerous Illustrations And Fully Worked-out Examples Further Enhance The Value Of This Exemplary Introduction To The Field.--jacket. 1. Formulating The Problem -- 2. Fourier Analysis -- 3. The Continuous Wavelet Transform -- 4. Frames -- 5. Multiresolution Analysis -- 6. Orthonormal Wavelets With Compact Support. Christian Blatter. "This book grew out of a short course for mathematics students at the ETH in Zurich; it provides a solid, yet accessible, mathematical foundation for those interested in learning about wavelets and pursuing the broad range of applications for which the wavelet transform has proved successful. Numerous illustrations and fully worked-out examples further enhance the value of this exemplary introduction to the field."--BOOK JACKET. A foundation text for those interested in learning about wavelets and pursuing the broad range of applications for which the wavelet transform has proved successful, including signal processing, image compression, radiology and cardiology. The approximation, resp. the representation, of arbitrary known or unknown functions f by means of special functions can be viewed as a central theme of analysis.