| 书目名称 | Wavelet Transforms and Their Applications | | 编辑 | Lokenath Debnath | | 视频video | | | 图书封面 |  | | 描述 | Overview Historically, the concept of "ondelettes" or "wavelets" originated from the study of time-frequency signal analysis, wave propagation, and sampling theory. One of the main reasons for the discovery of wavelets and wavelet transforms is that the Fourier transform analysis does not contain the local information of signals. So the Fourier transform cannot be used for analyzing signals in a joint time and frequency domain. In 1982, Jean MorIet, in collaboration with a group of French engineers, first introduced the idea of wavelets as a family of functions constructed by using translation and dilation of a single function, called the mother wavelet, for the analysis of nonstationary signals. However, this new concept can be viewed as the synthesis of various ideas originating from different disciplines including mathematics (Calder6n-Zygmund operators and Littlewood-Paley theory), physics (coherent states in quantum mechanics and the renormalization group), and engineering (quadratic mirror filters, sideband coding in signal processing, and pyramidal algorithms in image processing). Wavelet analysis is an exciting new method for solving difficult problems in mathematics, physi | | 出版日期 | Textbook 20021st edition | | 关键词 | Fourier transform; Gabor transform; Signal; Wavelet; analysis; information; linear optimization; signal ana | | 版次 | 1 | | doi | https://doi.org/10.1007/978-1-4612-0097-0 | | isbn_ebook | 978-1-4612-0097-0 | | copyright | Springer Science+Business Media New York 2002 |
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发表于 2025-3-21 16:44:02
