資料來源:
Syndetics
The wavelet transform [electronic resource]
- 作者： Pathak, Ram Shankar.
- 其他作者：
- 其他題名：
- Atlantis studies in mathematics for engineering and science,
- 出版： Paris : Atlantis Press
- 叢書名： Atlantis studies in mathematics for engineering and science,v.4
- 主題： Wavelets (Mathematics) , Mathematics , Numerical analysis
- ISBN： 9789491216244 (electronic bk.) 、 9789078677260 (paper)
-
FIND@SFXID:
CGU
- 資料類型: 電子書
-
讀者標籤：
- 系統號： 005079704 | 機讀編目格式
館藏資訊
The wavelet transform has emerged as one of the most promising function transforms with great potential in applications during the last four decades. The present monograph is an outcome of the recent researches by the author and his co-workers, most of which are not available in a book form. Nevertheless, it also contains the results of many other celebrated workers of the ?eld. The aim of the book is to enrich the theory of the wavelet transform and to provide new directions for further research in theory and applications of the wavelet transform. The book does not contain any sophisticated Mathematics. It is intended for graduate students of Mathematics, Physics and Engineering sciences, as well as interested researchers from other ?elds. The Fourier transform has wide applications in Pure and Applied Mathematics, Physics and Engineering sciences; but sometimes one has to make compromise with the results obtainedbytheFouriertransformwiththephysicalintuitions. ThereasonisthattheFourier transform does not re?ect the evolution over time of the (physical) spectrum and thus it contains no local information. The continuous wavelet transform (W f)(b,a), involving ? wavelet ?, translation parameterb and dilation parametera, overcomes these drawbacks of the Fourier transform by representing signals (time dependent functions) in the phase space (time/frequency) plane with a local frequency resolution. The Fourier transform is p n restricted to the domain L (R ) with 1 p 2, whereas the wavelet transform can be de?ned for 1 p