小波與小波變換導(dǎo)論

內(nèi)容概要

本書闡述了如何在信息處理、數(shù)值分析和數(shù)學(xué)建模中使用小波作為分析工具。本書把信號展開為基和框架，利用濾波器組作為算法描述。這種統(tǒng)一的觀點填補(bǔ)了現(xiàn)有小波文獻(xiàn)中的不足。本書給出經(jīng)典信息處理問題的最新以點，特別強(qiáng)調(diào)從應(yīng)用角度出發(fā)的信號壓縮，涉及當(dāng)前研究的最新成果。    本書可作為高年級本科生和研究生的教材，適用于信息處理、無線電通信、計算機(jī)科學(xué)和應(yīng)用數(shù)學(xué)等專業(yè)，也適于從事相關(guān)領(lǐng)域的研究人員和從業(yè)人員閱讀。

作者簡介

C.西德尼·伯羅斯，1965年在斯坦福大學(xué)獲得博士學(xué)位。于1984-1992年擔(dān)任萊斯大學(xué)ECE系的主任，1992-1998年擔(dān)任CITI的理事。目前他是萊斯大學(xué)教授，并擔(dān)任喬治布朗工學(xué)院院長。他在萊斯大學(xué)從事了20多年數(shù)學(xué)信號處理方面的教學(xué)和研究工作。
    拉米什 A.戈皮那思，分別

書籍目錄

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.

圖書封面

圖書標(biāo)簽Tags

無

評論、評分、閱讀與下載

---

    小波與小波變換導(dǎo)論 PDF格式下載

---