| 本书是小波分析方面奠基性的经典著作，已被翻译为多种语言，产生了深远影响。 本书着重讲述样条小波和时频分析，内容安排由浅入深，算法推导详细，既有理论，又有应用背景，书中内容只要求读者具有函数论和实分析的一些基础知识，既适合初学者以及工程、技术方面人员学习，也是研究人员不可或缺的参考书。 |
| 崔锦泰（Charles K.Chui），国际著名的小波分析专家，IEEE会士，密苏里大学路易分校数学与计算机科学系讲座教授，该校计算调和分析研究所所长，斯坦福大学顾部教授。曾担任数个国际著名期刊和丛书的主编或编委。他在调和分析应用、逼近及其应用等领域也做出了杰出的贡献，首创将样条应用于小波中。 |
| 1. An Overview 1.1 From Fourier analysm to wavelet analysm 1.2 The integral wavelet transform and time-frequency analysis 1.3 Inversion formulas and duals 1.4 Classification of wavelets 1.5 Multiresolution analysis, splines, and wavelets 1.6 Wavelet decompositions and reconstructions 2. Fourier Analysis 2.1 Fourier and inverse Fourier transforms 2.2 Continuous-time convolution and the delta function 2.3 Fourier transform of square-integrable functions 2.4 Fourier series 2.5 Basic convergence theory and Poisson's summation formula 3. Wavelet Transforms and Time-Frequency Analysis 3.1 The Gabor transform 3.2 Short-time Fourier transforms and the Uncertainty Principle 3.3 The integral wavelet transform 3.4 Dyadic wavelets and inversions 3.5 Frames 3.6 Waveletcseries 4.cCardinalcSplinecAnalysis 4.1 Cardinalcsplinecspaces 4.2 B-splinescandctheircbasiccpropertiesc 4.3 Thectwo-scalecrelationcandcancinterpolatorycgraphicalcdisplaycalgorithm 4.4 B-netcrepresentationscandccomputationcofccardinalcsplines 4.5 Constructioncofcsplinecapproximationcformulas 4.6 Constructioncofcsplinecinterpolationcformulas 5.cScalingcFunctionscandcWavelets 5.1 Multiresolutioncanalysis 5.2 Scalingcfunctionscwithcfinitectwo-scalecrelations 5.3 Direct-sumcdecompositionscofcL2(R) 5.4 Waveletscandctheircduals 5.5 Linear-phasecfiltering 5.6 Compactlycsupportedcwavelets 6.cCardinalcSpline-Wavelets 6.1 Interpolatorycspline-wavelets 6.2 Compactlycsupportedcspline-wavelets 6.3 Computationcofccardinalcspline-wavelets 6.4 EulerFrobeniuspolynomials 6.5 Errorcanalysiscincsplinecwaveletcdecomposition 6.6 Totalcpositivity,ccompletecoscillation,czero-crossings 7.cOrthogonalcWaveletscandcWaveletcPackets 7.1 Examplescofcorthogonalcwavelets 7.2 Identificationcofcorthogonalctwo-scalecsymbols 7.3 Constructioncofccompactlycsupportedcorthogonalcwavelets 7.4 Orthogonalcwaveletcpackets 7.5 Orthogonalcdecompositioncofcwaveletcseries Notes References Subject Index Appendixc |
内容加载中，请稍后...
商品评论（0条）