Wavelet Transforms and Their Applications
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 loca...
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| Những tác giả chính: | , |
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| Định dạng: | Sách |
| Ngôn ngữ: | English |
| Được phát hành: |
Springer
2015
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| Những chủ đề: | |
| Truy cập trực tuyến: | https://scholar.dlu.edu.vn/thuvienso/handle/DLU123456789/56940 |
| Các nhãn: |
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| Thư viện lưu trữ: | Thư viện Trường Đại học Đà Lạt |
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| Tóm tắt: | 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 (Calderón–Zygmund operators and Littlewood–Paley the
ory), 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)... |
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