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arxiv: 1210.6560 · v4 · pith:43PAFU4Anew · submitted 2012-10-24 · 🧮 math.CA · math.FA

Periodic wavelet frames and time-frequency localization

classification 🧮 math.CA math.FA
keywords familylocalizationframesparameterperiodicrespecttime-frequencywavelet
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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.

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