小波与小波变换导论

出版时间：2005-4  出版社：机械工业出版社  作者：C.西德尼·伯罗斯  页数：268  
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内容概要

本书阐述了如何在信息处理、数值分析和数学建模中使用小波作为分析工具。本书把信号展开为基和框架，利用滤波器组作为算法描述。这种统一的观点填补了现有小波文献中的不足。本书给出经典信息处理问题的最新以点，特别强调从应用角度出发的信号压缩，涉及当前研究的最新成果。    本书可作为高年级本科生和研究生的教材，适用于信息处理、无线电通信、计算机科学和应用数学等专业，也适于从事相关领域的研究人员和从业人员阅读。

作者简介

C.西德尼·伯罗斯，1965年在斯坦福大学获得博士学位。于1984-1992年担任莱斯大学ECE系的主任，1992-1998年担任CITI的理事。目前他是莱斯大学教授，并担任乔治布朗工学院院长。他在莱斯大学从事了20多年数学信号处理方面的教学和研究工作。
    拉米什 A.戈皮那思，分别

书籍目录

前言1. Introduction to Wavelets.  1.1 Wavelets and Wavelet Expansion Systems 1.2 The Discrete Wavelet Transform 1.3 The Discrets-Time and Continuous Wavelet Transforms 1.4 Exercises and Experiments 1.5 This Chapter2. A Multiresolution Formulation of Wavelet Systems.  2.1 Signal Spaces 2.2 The Scaling Function 2.3 The Wavelet Functions 2.4 The Discrete Wavelet Transform 2.5 A Parseveal's Theorem 2.6 Display of the Discrete Wavelet Transform and the Wavelet Expansion 2.7 Examples of Wavelet Expansions 2.8 An Example of the Haar Wavelet Syatem3. Filter Banks and the Discrete Wavelet Transform.  3.1 Analysis-From Fine Scale to Coarse Scale 3.2 Synthesis-From Coarse Scale to Fine Scale 3.3 Input Coefficients 3.4 lattices and Lifting 3.5 Different points of View4. Bases, Orthogonal Bases, Biorthogonal Bases, Frames, Tight Frames, and Unconditional Bases.  4.1 Bases,Orhogonal Bases,and Biorthogonal Bases 4.2 Frames and Tight Frames 4.3 Conditional and Unconditional Bases5. The Scaling Function and Scaling Coefficients, Wavelet and Wavelet Coefficients.  5.1 Tools and Definitions 5.2 Necessary Conditions 5.3 Frequency Domain Necessary Conditions 5.4 Sufficient Conditions 5.5 The Wavelet 5.6 Alternate Normalizations 5.7 Example Scaling Functions and Wavelets 5.8 Further Properties of the Scaling Function and Wavelet 5.9 Parameterization of the Acaling coefficients 5.10 Calculation the Basic Function and Wavelet6. Regularity, Moments, and Wavelet System Design. ……7. Generalizations of the Basic Multiresolution Wavelet System. 8. Filter Banks and Transmultiplexers. 9. Calculation of the Discrete Wavelet Transform. 10. Wavelet-Based Signal Processing and Applications. 11. Summary Overview. 12. References. Bibliography. Appendix A. Derivations for Chapter 5 on Scaling Functions. Appendix B. Derivations for Section on Properties. Appendix C. Matlab Programs. Index.

用户评论 (总计1条)

•   学小波变换,最好从图象的压缩开始学,这本书公式推导太多,我学理论物理的,都看不过来,其他的难说.