The Wavelet Transform, Time-Frequency Localization and Signal Analysis
Publication
, Journal Article
Daubechies, I
Published in: IEEE Transactions on Information Theory
January 1, 1990
Two different procedures are studied by which a frequency analysis of a time-dependent signal can be effected, locally in time. The first procedure is the short-time or windowed Fourier transform, the second is the “wavelet transform,” in which high frequency components are studied with sharper time resolution than low frequency components. The similarities and the differences between these two methods are discussed. For both schemes a detailed study is made of the reconstruction method and its stability, as a function of the chosen time-frequency density. Finally the notion of “time-frequency localization” is made precise, within this framework, by two localization theorems. © 1990 IEEE
Duke Scholars
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Published In
IEEE Transactions on Information Theory
DOI
EISSN
1557-9654
ISSN
0018-9448
Publication Date
January 1, 1990
Volume
36
Issue
5
Start / End Page
961 / 1005
Related Subject Headings
- Networking & Telecommunications
- 4613 Theory of computation
- 4006 Communications engineering
- 1005 Communications Technologies
- 0906 Electrical and Electronic Engineering
- 0801 Artificial Intelligence and Image Processing
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Daubechies, I. (1990). The Wavelet Transform, Time-Frequency Localization and Signal Analysis. IEEE Transactions on Information Theory, 36(5), 961–1005. https://doi.org/10.1109/18.57199
Daubechies, I. “The Wavelet Transform, Time-Frequency Localization and Signal Analysis.” IEEE Transactions on Information Theory 36, no. 5 (January 1, 1990): 961–1005. https://doi.org/10.1109/18.57199.
Daubechies I. The Wavelet Transform, Time-Frequency Localization and Signal Analysis. IEEE Transactions on Information Theory. 1990 Jan 1;36(5):961–1005.
Daubechies, I. “The Wavelet Transform, Time-Frequency Localization and Signal Analysis.” IEEE Transactions on Information Theory, vol. 36, no. 5, Jan. 1990, pp. 961–1005. Scopus, doi:10.1109/18.57199.
Daubechies I. The Wavelet Transform, Time-Frequency Localization and Signal Analysis. IEEE Transactions on Information Theory. 1990 Jan 1;36(5):961–1005.
Published In
IEEE Transactions on Information Theory
DOI
EISSN
1557-9654
ISSN
0018-9448
Publication Date
January 1, 1990
Volume
36
Issue
5
Start / End Page
961 / 1005
Related Subject Headings
- Networking & Telecommunications
- 4613 Theory of computation
- 4006 Communications engineering
- 1005 Communications Technologies
- 0906 Electrical and Electronic Engineering
- 0801 Artificial Intelligence and Image Processing