Periodic wavelet frames and time-frequency localization

Links

http://www.sciencedirect.com/science/article/pii/S1063520314000396

DOI

https://doi.org/DOI: 10.1016/j.acha.2014.02.002
Final published version
https://doi.org/10.1016/j.acha.2014.02.002
Other version

E.A. Lebedeva
J. Prestin

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.

Original language	English
Pages (from-to)	347-359
Number of pages	13
Journal	Applied and Computational Harmonic Analysis
Volume	37
Issue number	2
DOIs	https://doi.org/DOI: 10.1016/j.acha.2014.02.002 https://doi.org/10.1016/j.acha.2014.02.002
State	Published - 2014

Research areas

Localization, Parseval frame, Periodic wavelet, Poisson summation formula, Scaling function, Tight frame, Uncertainty principle

ID: 7011366