The DOI matches its Crossref record; 3 of the 3 references it cites were found in a registry or an index.
Time-frequency localization operators: a geometric phase space approach
Abstract
The author defines a set of operators which localize in both time and frequency. These operators are similar to but different from the low-pass time-limiting operator, the singular functions of which are the prolate spheroidal wave functions. The author's construction differs from the usual approach in that she treats the time-frequency plane as one geometric whole (phase space) rather than as two separate spaces. For disk-shaped or ellipse-shaped domains in time-frequency plane, the associated localization operators are remarkably simple. Their eigenfunctions are Hermite functions, and the corresponding eigenvalues are given by simple explicit formulas involving the incomplete gamma functions.>
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Citations
Cites
Prolate Spheroidal Wave Functions, Fourier Analysis and Uncertainty - I
Slepian, D., & Pollak, H. O. (1961) · Bell System Technical Journal · doi:10.1002/j.1538-7305.1961.tb03976.x · Cited by 2,492
Prolate Spheroidal Wave Functions, Fourier Analysis and Uncertainty - II
Landau, H. J., & Pollak, H. O. (1961) · Bell System Technical Journal · doi:10.1002/j.1538-7305.1961.tb03977.x · Cited by 839
Landau, H. J., & Pollak, H. O. (1962) · Bell System Technical Journal · doi:10.1002/j.1538-7305.1962.tb03279.x · Cited by 839
Cited by
The wavelet transform, time-frequency localization and signal analysis
Daubechies, I. (1990) · IEEE Transactions on Information Theory · doi:10.1109/18.57199 · Cited by 6,483
Self-citationConsistent interpretations of quantum mechanics
Omnès, R. (1992) · Reviews of Modern Physics · doi:10.1103/revmodphys.64.339 · Cited by 648
Sparsity-Aware Learning and Compressed Sensing: An Overview
Theodoridis, S., Kopsinis, Y., & Slavakis, K. (2014) · Academic Press Library in Signal Processing · doi:10.1016/b978-0-12-396502-8.00023-1 · Cited by 14
Metadata
- Authors
- Daubechies, I.
- Venue
- IEEE Transactions on Information Theory
- Published
- 1988-07
- Volume
- 34
- Issue
- 4
- Pages
- 605-612
- ISSN
- 0018-9448 (ISSN-L)
- OpenAlex
- W2123487365
- Cited by
- 649
- References
- 3
- FWCI
- 8.79
- Type
- journal article
- Language
- en
- Open access
- closed
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