LEADER 04863nam 2200637 a 450 001 9910814840603321 005 20200520144314.0 010 $a1-281-07081-5 010 $a9786611070816 010 $a0-08-052083-9 035 $a(CKB)1000000000384577 035 $a(EBL)319092 035 $a(OCoLC)476114751 035 $a(SSID)ssj0000269438 035 $a(PQKBManifestationID)11235096 035 $a(PQKBTitleCode)TC0000269438 035 $a(PQKBWorkID)10247819 035 $a(PQKB)10395610 035 $a(Au-PeEL)EBL319092 035 $a(CaPaEBR)ebr10205984 035 $a(CaONFJC)MIL107081 035 $a(CaSebORM)9780124666061 035 $a(MiAaPQ)EBC319092 035 $a(EXLCZ)991000000000384577 100 $a19990701d1999 uy 0 101 0 $aeng 135 $aur|n|---||||| 181 $ctxt 182 $cc 183 $acr 200 12$aA wavelet tour of signal processing /$fStephane Mallat 205 $a2nd ed. 210 $aSan Diego $cAcademic Press$d1999 215 $a1 online resource (663 p.) 300 $aDescription based upon print version of record. 311 $a0-12-466606-X 320 $aIncludes bibliographical references (p. 612-628) and index. 327 $aFront Cover; A Wavelet Tour of Signal Processing; Copyright Page; Contents; Preface; Preface to the Second Edition; Notation; CHAPTER I. INTRODUCTION TO A TRANSIENT WORLD; 1.1 Fourier Kingdom; 1.2 Time-Frequency Wedding; 1.3 Bases of Time-Frequency Atoms; 1.4 Bases for What?; 1.5 Travel Guide; CHAPTER II. FOURIER KINGDOM; 2.1 Linear Time-Invariant Filtering; 2.2 Fourier Integrals; 2.3 Properties; 2.4 Two-Dimensional Fourier Transform; 2.5 Problems; CHAPTER III. DISCRETE REVOLUTION; 3.1 Sampling Analog Signals; 3.2 Discrete Time-Invariant Filters; 3.3 Finite Signals 327 $a3.4 Discrete Image Processing3.5 Problems; CHAPTER IV. TIME MEETS FREQUENCY; 4.1 Time-Frequency Atoms; 4.2 Windowed Fourier Transform; 4.3 Wavelet Transforms; 4.4 Instantaneous Frequency; 4.5 Quadratic Time-Frequency Energy; 4.6 Problems; CHAPTER V. FRAMES; 5.1 Frame Theory; 5.2 Windowed Fourier Frames; 5.3 Wavelet Frames; 5.4 Translation Invariance; 5.5 Dyadic Wavelet Transform; 5.6 Problems; CHAPTER VI. WAVELET ZOOM; 6.1 Lipschitz Regularity; 6.2 Wavelet Transform Modulus Maxima; 6.3 Multiscale Edge Detection; 6.4 Multifractals; 6.5 Problems; CHAPTER VII. WAVELET BASES 327 $a7.1 Orthogonal Wavelet Bases7.2 Classes of Wavelet Bases; 7.3 Wavelets and Filter Banks; 7.4 Biorthogonal Wavelet Bases; 7.5 Wavelet Bases on an Interval; 7.6 Multiscale Interpolations; 7.7 Separable Wavelet Bases; 7.8 Problems; CHAPTER VIII. WAVELET PACKET AND LOCAL COSINE BASES; 8.1 Wavelet Packets; 8.2 Image Wavelet Packets; 8.3 Block Transforms; 8.4 Lapped Orthogonal Transforms; 8.5 Local Cosine Trees; 8.6 Problems; CHAPTER IX. AN APPROXIMATION TOUR; 9.1 Linear Approximations; 9.2 Non-Linear Approximations; 9.3 Image Approximations with Wavelets; 9.4 Adaptive Basis Selection 327 $a9.5 Approximations with Pursuits9.6 Problems; CHAPTER X. ESTIMATIONS ARE APPROXIMATIONS; 10.1 Bayes Versus Minimax; 10.2 Diagonal Estimation in a Basis; 10.3 Minimax Optimality; 10.4 Restoration; 10.5 Coherent Estimation; 10.6 Spectrum Estimation; 10.7 Problems; CHAPTER XI. TRANSFORM CODING; 11.1 Signal Compression; 11.2 Distortion Rate of Quantization; 11.3 High Bit Rate Compression; 11.4 Image Compression; 11.5 Video Signals; 11.6 Problems; APPENDIX A. MATHEMATICAL COMPLEMENTS; A.1 Functions and Integration; A.2 Banach and Hilbert Spaces; A.3 Bases of Hilbert Spaces; A.4 Linear Operators 327 $aA.5 Separable Spaces and BasesA.6 Random Vectors and Covariance Operators; A.7 Diracs; APPENDIX B. SOFTWARE TOOLBOXES; B.1 Wavelas; B.2 Lastwave; B.3 Freeware Wavelet Toolboxes; Bibliography; Index 330 $aThis book is intended to serve as an invaluable reference for anyone concerned with the application of wavelets to signal processing. It has evolved from material used to teach ""wavelet signal processing"" courses in electrical engineering departments at Massachusetts Institute of Technology and Tel Aviv University, as well as applied mathematics departments at the Courant Institute of New York University and E?colePolytechnique in Paris.Key Features* Provides a broad perspective on the principles and applications of transient signal processing with wavelets* Emphasizes int 606 $aSignal processing$xMathematics 606 $aWavelets (Mathematics) 615 0$aSignal processing$xMathematics. 615 0$aWavelets (Mathematics) 676 $a621.382/2 700 $aMallat$b S. G$g(Stephane G.)$00 801 0$bMiAaPQ 801 1$bMiAaPQ 801 2$bMiAaPQ 906 $aBOOK 912 $a9910814840603321 996 $aWavelet Tour of Signal Processing$9134628 997 $aUNINA