Practical Time-Frequency Analysis : Gabor and Wavelet Transforms, with an Implementation in S
Rene. Carmona
Bok Engelsk 1998 · Electronic books.
| Annen tittel | |
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| Utgitt | Burlington : : Elsevier Science, , 1998.
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| Omfang | 1 online resource (493 p.)
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| Opplysninger | Description based upon print version of record.. - Front Cover; Practical Time-Frequency Analysis: Gabor and Wavelet Transforms with an Implementation in S; Copyright Page; Contents; Part I: Background Material; Chapter 1. Time, Frequency, and Time-Frequency; 1.1 First Integral Transforms and Function Spaces; 1.2 Sampling and Aliasing; 1.3 Wiener's Deterministic Spectral Theory; 1.4 Deterministic Spectral Theory for Time Series; 1.5 Time-Frequency Representations; 1.6 Examples and S-Commands; 1.7 Notes and Complements; Chapter 2. Spectral Theory of Stationary Random Processes: A Primer; 2.1 Stationary Processes; 2.2 Spectral Representations. - 2.3 Nonparametric Spectral Estimation2.4 Spectral Estimation in Practice; 2.5 Examples and S-Commands; 2.6 Notes and Complements; Part II: Gabor and Wavelet Transforms; Chapter 3. The Continuous Gabor Transform; 3.1 Definitions and First Properties; 3.2 Commonly Used Windows; 3.3 Examples; 3.4 Examples and S-Commands; 3.5 Notes and Complements; Chapter 4. The Continuous Wavelet Transform; 4.1 Definitions and Basic Properties; 4.2 Continuous Multiresolutions; 4.3 Commonly Used Analyzing Wavelets; 4.4 Wavelet Singularity Analysis; 4.5 First Examples of Wavelet Analyses. - 4.6 Examples and S-Commands4.7 Notes and Complements; Chapter 5. Discrete Time-Frequency Transforms and Algorithms; 5.1 Frames; 5.2 Intermediate Discretization: The Dyadic Wavelet Transform; 5.3 Matching Pursuit; 5.4 Wavelet Orthonormal Bases; 5.5 Playing with Time-Frequency Localization; 5.6 Algorithms and Implementation; 5.7 Examples and S-Commands; 5.8 Notes and Complements; Part III: Signal Processing Applications; Chapter 6. Time-Frequency Analysis of Stochastic Processes; 6.1 Second-Order Processes; 6.2 Time-Frequency Analysis of Stationary Processes. - 6.3 First Steps toward Non-stationarity6.4 Examples and S-Commands; 6.5 Notes and Complements; Chapter 7. Analysis of Frequency Modulated Signals; 7.1 Asymptotic Signals; 7.2 Generalities on Asymptotic Signals; 7.3 Ridge and Local Extrema; 7.4 Algorithms for Ridge Estimation; 7.5 The ""Crazy Climbers"" Algorithm; 7.6 Reassignment Methods; 7.7 Examples and S-Commands; 7.8 Notes and Complements; Chapter 8. Statistical Reconstructions; 8.1 Nonparametric Regression; 8.2 Regression by Thresholding; 8.3 The Smoothing Spline Approach. - 8.4 Reconstruction from the Extrema of the Dyadic Wavelet Transform8.5 Reconstruction from Ridge Skeletons; 8.6 Examples and S-Commands; 8.7 Notes and Complements; Part IV: The Swave Library; Chapter 9. Downloading and Installing the Swave Package; 9.1 Downloading Swave; 9.2 Installing Swave on a Unix Platform; 9.3 Troubleshooting; Chapter 10. The Swave S Functions; Chapter 11. The Swave S Utilities; Bibliographies; General References; Wavelet Books; Splus Books; Indexes; Notation Index; Author Index; S Functions and Utilities; Subject Index. - Time frequency analysis has been the object of intense research activity in the last decade. This book gives a self-contained account of methods recently introduced to analyze mathematical functions and signals simultaneously in terms of time and frequency variables. The book gives a detailed presentation of the applications of these transforms to signal processing, emphasizing the continuous transforms and their applications to signal analysis problems, including estimation, denoising, detection, and synthesis. To help the reader perform these analyses, Practical Time-Frequency Analysis</b
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| Emner | |
| Sjanger | |
| Dewey | |
| ISBN | 0121601706
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