Wavelets : A Tutorial in Theory and Applications

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Wavelets: A Tutorial in Theory and Applications is the second volume in the new series WAVELET ANALYSIS AND ITS APPLICATIONS. As a companion to the first volume in this series, this volume covers several of the most important areas in wavelets, ranging from the development of the basic theory such as construction and analysis of wavelet bases to an introduction of some of the key applications, including Mallat's local wavelet maxima technique in second generation image coding. A fairly extensive bibliography is also included in this volume.
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Product details

  • Hardback | 736 pages
  • 160.5 x 236.7 x 36.3mm | 1,283.92g
  • Academic Press Inc
  • San Diego, United States
  • English
  • bibliography, index
  • 0121745902
  • 9780121745905

Table of contents

Orthogonal wavelets; daubechies' scaling function on (0.3), D. Pollen; wavelet matrices and the representation of discrete functions, P.N. Heller, et al; wavelets and generalized functions, G.G. Walter; semi-orthogonal and nonorthogonal wavelets; cardinal spline interpolation and teh block spin construction of wavelets, G. Battle; polynomial splines and wavelets - a signal processing perspective, M. Unser and A. Aldroubi; biorthogonal wavelets, A. Cohen; nonorthogonal multiresolution analysis using wavelets, J.C. Feauveau; wavelet-like local bases; wavelets and other bases for fast numerical linear algebra, B.K. Alpert; wavelets with boundary conditions on the interval, P. Aushcer; local sine and cosine bases of coifman and meyer and the construction of smooth wae-lets, P. Auscher, et al; some elementary properties of multiresolution analysis of L2 (Rn), W.R. Madych; multi-dimensional two-scale dilation equations, M.A. Berger and Y. Wang; multivariate wavelets; short-time fourier and window-radon transforms, J. Stockler; gabor wavelets and the heisenberg group, H.G. Feichtinger and K. Grochenig; gabor expansions and short time fourier transform from the group theoetical point of view; windowed radon transforms, analytic signals and the wave equation theory of sampling and interpolation, G. Kaiser and R.F. Streater; irregular sampling and frames, J.J. Benedetto; families of wavelet tranforms in connections with Shannon's sampling theory and the gabor tranform, A.Aldroubi and M. Unser; wavelets in H2(R), K. Seip; sampling, interpolation and phase space density; applications to numerical analysis and signal processing; orthonormal wave-lets, analysis of operators and applications to numerical analysis, S. Jaffard and Ph. Laurencot; wavelet transforms and filter banks, R.A. Gopinath and C.S. Burrus; second generation compact image coding with wavelets, J. Froment and S. Mallat; acoustic signal compression with wavelet packets, M.V. Wickerhauser.
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