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Periodic wavelet frames and time-frequency localization. / Lebedeva, E.A.; Prestin, J.

In: Applied and Computational Harmonic Analysis, Vol. 37, No. 2, 2014, p. 347-359.

Research output: Contribution to journal › Letter › peer-review

Harvard

Lebedeva, EA & Prestin, J 2014, 'Periodic wavelet frames and time-frequency localization', Applied and Computational Harmonic Analysis, vol. 37, no. 2, pp. 347-359. https://doi.org/DOI: 10.1016/j.acha.2014.02.002, https://doi.org/10.1016/j.acha.2014.02.002

APA

Lebedeva, E. A., & Prestin, J. (2014). Periodic wavelet frames and time-frequency localization. Applied and Computational Harmonic Analysis, 37(2), 347-359. https://doi.org/DOI: 10.1016/j.acha.2014.02.002, https://doi.org/10.1016/j.acha.2014.02.002

Vancouver

Lebedeva EA, Prestin J. Periodic wavelet frames and time-frequency localization. Applied and Computational Harmonic Analysis. 2014;37(2):347-359. https://doi.org/DOI: 10.1016/j.acha.2014.02.002, https://doi.org/10.1016/j.acha.2014.02.002

Author

Lebedeva, E.A. ; Prestin, J. / Periodic wavelet frames and time-frequency localization. In: Applied and Computational Harmonic Analysis. 2014 ; Vol. 37, No. 2. pp. 347-359.

BibTeX

@article{d3f09143d05449ed9fd95e75b07783c7,
title = "Periodic wavelet frames and time-frequency localization",
abstract = "A family of Parseval periodic wavelet frames is constructed. The family has optimal time-frequency localization (in the sense of the Breitenberger uncertainty constant) with respect to a family parameter and it has the best currently known localization with respect to a multiresolution analysis parameter.",
keywords = "Localization, Parseval frame, Periodic wavelet, Poisson summation formula, Scaling function, Tight frame, Uncertainty principle",
author = "E.A. Lebedeva and J. Prestin",
year = "2014",
doi = "DOI: 10.1016/j.acha.2014.02.002",
language = "English",
volume = "37",
pages = "347--359",
journal = "Applied and Computational Harmonic Analysis",
issn = "1063-5203",
publisher = "Elsevier",
number = "2",

}

RIS

TY - JOUR

T1 - Periodic wavelet frames and time-frequency localization

AU - Lebedeva, E.A.

AU - Prestin, J.

PY - 2014

Y1 - 2014

N2 - A family of Parseval periodic wavelet frames is constructed. The family has optimal time-frequency localization (in the sense of the Breitenberger uncertainty constant) with respect to a family parameter and it has the best currently known localization with respect to a multiresolution analysis parameter.

AB - A family of Parseval periodic wavelet frames is constructed. The family has optimal time-frequency localization (in the sense of the Breitenberger uncertainty constant) with respect to a family parameter and it has the best currently known localization with respect to a multiresolution analysis parameter.

KW - Localization

KW - Parseval frame

KW - Periodic wavelet

KW - Poisson summation formula

KW - Scaling function

KW - Tight frame

KW - Uncertainty principle

UR - https://www.sciencedirect.com/science/article/pii/S1063520314000396

U2 - DOI: 10.1016/j.acha.2014.02.002

DO - DOI: 10.1016/j.acha.2014.02.002

M3 - Letter

VL - 37

SP - 347

EP - 359

JO - Applied and Computational Harmonic Analysis

JF - Applied and Computational Harmonic Analysis

SN - 1063-5203

IS - 2

ER -

ID: 7011366