本书从工程师的角度，而不是从抽象的数学方程的角度，用启发性的观点介绍了“时频和小波分析”问题。内容丰富、结构简明是本书的一大特点。本书每一章都从背景简介开始，进而转向理论推导，最后得到具有高度实用性的数字工具。书中所有的算法都可以在商业软件中找到，如美国国家仪器公司 (National Instruments, NI) 的Signal Processing Toolset，各种应用的例子都可以从NI网站上直接下载得到。本书包含了从NI用户中收集到的多种真实应用，其中很多都是首次公开发表。

　　短时傅里叶变换
　　离散和正交Gabor展开式
　　线性时变滤波器
　　小波分析基础
　　双线性时频表示法，包括Wigner-Ville分布和分解
　　小波变换用的数字滤波器库
　　混合时频和时间标度 (小波) 分解

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1. Introduction.

2. Fourier Transform A Mathematical Prism.
Frame.
Fourier Transform.
Relationship between Time and Frequency Representations.
Characterization of Time Waveform and Power Spectrum. Uncertainty Principle.
Discrete Poisson-Sum Formula.
Short-Time Fourier Transform and Gabor Expansion.

3. Short-Time Fourier Transform.
Gabor Expansion.
Periodic Discrete Gabor Expansion.
Orthogonal-Like Gabor Expansion.
A Fast Algorithm for Computing Dual Functions.
Discrete Gabor Expansion.

4. Linear Time-Variant Filters.
LMSE Method. Iterative Method.
Selection of Window Functions.

5. Fundamentals of theWavelet Transform.
Continuous Wavelet Transform.
Piecewise Approximation.
Multiresolution Analysis.
Wavelet Transformation and Digital Filter Banks.
Applications of the Wavelet Transform.

6. Digital Filter Banks andtheWavelet Transform.
Two-Channel Perfect Reconstruction Filter Banks.
Orthogonal Filter Banks.
General Tree-Structure Filter Banks and Wavelet Packets.

7. Wigner-Ville Distribution.
Wigner-Ville Distribution.
General Properties of the Wigner-Ville Distribution.
Wigner-Ville Distribution for the Sum of Multiple Signals. Smoothed Wigner-Ville Distribution.
Wigner-Ville Distribution of Analytic Signals.
Discrete Wigner-Ville Distribution.

8. Other Time-Dependent Power Spectra.
Ambiguity Function.
Cohens Class.
Some Members of Cohens Class.
Reassignment.

9. Decomposition of the Wigner-Ville Distribution.
Decomposition of the Wigner-Ville Distribution.
Time-Frequency Distribution Series.
Selection of Dual Functions.
Mean Instantaneous Frequency and Instantaneous Bandwidth. Application for Earthquake Engineering.

10. Adaptive Gabor Expansion and Matching Pursuit.
Matching Pursuit.
Adaptive Gabor Expansion.
Fast Refinement.
Applications of the Adaptive Gabor Expansion.
Adaptive Gaussian Chirplet Decomposition.
Optimal Dual Functions.
Bibliography.
Index.