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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2015
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oai:scholar.dlu.edu.vn:DLU123456789-569402023-11-11T05:41:12Z Wavelet Transforms and Their Applications Debnath, Lokenath Shah, Firdous Ahmad Wavelet 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 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)... 2015-07-08T01:44:15Z 2015-07-08T01:44:15Z 2015 Book 978-0-8176-8417-4 https://scholar.dlu.edu.vn/thuvienso/handle/DLU123456789/56940 en application/pdf Springer |
| institution |
Thư viện Trường Đại học Đà Lạt |
| collection |
Thư viện số |
| language |
English |
| topic |
Wavelet Applications |
| spellingShingle |
Wavelet Applications Debnath, Lokenath Shah, Firdous Ahmad Wavelet Transforms and Their Applications |
| description |
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)... |
| format |
Book |
| author |
Debnath, Lokenath Shah, Firdous Ahmad |
| author_facet |
Debnath, Lokenath Shah, Firdous Ahmad |
| author_sort |
Debnath, Lokenath |
| title |
Wavelet Transforms
and Their Applications |
| title_short |
Wavelet Transforms
and Their Applications |
| title_full |
Wavelet Transforms
and Their Applications |
| title_fullStr |
Wavelet Transforms
and Their Applications |
| title_full_unstemmed |
Wavelet Transforms
and Their Applications |
| title_sort |
wavelet transforms
and their applications |
| publisher |
Springer |
| publishDate |
2015 |
| url |
https://scholar.dlu.edu.vn/thuvienso/handle/DLU123456789/56940 |
| _version_ |
1782536474791510016 |