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Titlebook: Wavelet Transforms and Time-Frequency Signal Analysis; Lokenath Debnath Book 2001 Springer Science+Business Media New York 2001 Fourier an

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發(fā)表于 2025-3-21 17:31:59 | 只看該作者 |倒序瀏覽 |閱讀模式
書目名稱Wavelet Transforms and Time-Frequency Signal Analysis
編輯Lokenath Debnath
視頻videohttp://file.papertrans.cn/1022/1021266/1021266.mp4
叢書名稱Applied and Numerical Harmonic Analysis
圖書封面Titlebook: Wavelet Transforms and Time-Frequency Signal Analysis;  Lokenath Debnath Book 2001 Springer Science+Business Media New York 2001 Fourier an
描述The last fifteen years have produced major advances in the mathematical theory of wavelet transforms and their applications to science and engineering. In an effort to inform researchers in mathematics, physics, statistics, computer science, and engineering and to stimulate furtherresearch, an NSF-CBMS Research Conference on Wavelet Analysis was organized at the University of Central Florida in May 1998. Many distinguished mathematicians and scientists from allover the world participated in the conference and provided a digest of recent developments, open questions, and unsolved problems in this rapidly growing and important field. As a follow-up project, this monograph was developed from manuscripts sub- mitted by renowned mathematicians and scientists who have made important contributions to the subject of wavelets, wavelet transforms, and time-frequency signal analysis. This publication brings together current developments in the theory and applications of wavelet transforms and in the field of time-frequency signal analysis that are likely to determine fruitful directions for future advanced study and research.
出版日期Book 2001
關鍵詞Fourier analysis; Fourier transform; Signal; Wavelet; calculus; electrical engineering; signal analysis; si
版次1
doihttps://doi.org/10.1007/978-1-4612-0137-3
isbn_softcover978-1-4612-6629-7
isbn_ebook978-1-4612-0137-3Series ISSN 2296-5009 Series E-ISSN 2296-5017
issn_series 2296-5009
copyrightSpringer Science+Business Media New York 2001
The information of publication is updating

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沙發(fā)
發(fā)表于 2025-3-21 23:30:12 | 只看該作者
Wavelet Frames: Multiresolution Analysis and Extension Principles is completed. The interplay between redundancy and robustness in frame expansions is illustrated by a simple example. We then restate Ron and Shen’s Unitary Extension Principle and give a simple direct proof different from the original derivation in [.].
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地板
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Convergence Rates of Multiscale and Wavelet Expansionsy and sufficient conditions are given for convergence at given rates in terms of behavior of Fourier transforms of the wavelet or scaling function near the origin. Such conditions turn out in special cases to be equivalent to moment and other known determining convergence rates.
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Introduction to Time-Frequency Signal Analysis the field, including the most recent advances, such as polynomial Wigner—Ville distributions (PWVD), the high time-frequency resolution B-distribution, and the instantaneous frequency tracking and estimation.
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Reduced Interference Time-Frequency Distributions: Scaled Decompositions and Interpretationst windows for an overall analysis of N + 1 points, where N = 2., and n is a positive integer. Application of this theory offers very fast computation of TFDs since very few analysis windows are needed, and fast, recursive, STFT algorithms can be used.
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