Phase space distribution of Gabor expansions

Autor:	Ascensi, Gerard, Lyubarskii, Yurii I., Seip, Kristian
Rok vydání:	2008
Předmět:	Mathematics - Functional Analysis Mathematics - Classical Analysis and ODEs
Druh dokumentu:	Working Paper
Popis:	We present an example of a complete and minimal Gabor system consisting of time-frequency shifts of a Gaussian, localized at the coordinate axes in the time-frequency plane (phase space). Asymptotically, the number of time-frequency shifts contained in a disk centered at the origin is only 2/pi times the number of points from the von Neumann lattice found in the same disk. Requiring a certain regular distribution in phase space, we show that our system has minimal density among all complete and minimal systems of time-frequency shifts of a Gaussian. Comment: 9 pages, submitted to publication
Databáze:	arXiv
Externí odkaz:	http://arxiv.org/abs/0805.4166 Zobrazit plný text záznamu View this record from Arxiv