Bandpass pseudo prolate shift frames and Riesz bases

被引：0
|
作者：
Hogan, Jeffrey A. [1 ]
Lakey, Joseph D. [2 ]
机构：
[1] Univ Newcastle, Sch Math & Phys Sci, Callaghan, NSW 2308, Australia
[2] New Mexico State Univ, Dept Math Sci, Las Cruces, NM 88003 USA
来源：
2017 INTERNATIONAL CONFERENCE ON SAMPLING THEORY AND APPLICATIONS (SAMPTA) | 2017年
基金：
澳大利亚研究理事会;
关键词：
D O I：
暂无
中图分类号：
TP301 [理论、方法];
学科分类号：
081202 ;
摘要：
We investigate frames and Riesz bases for the space of square-integrable functions on the line whose Fourier transforms are supported on the union of two disjoint intervals (bandpass signals). By suitably modulating a frame (resp. Riesz basis) for the Paley-Wiener space PW Omega which is generated by the shifts of prolate spheroidal wave functions, we generate frames (reps. Riesz bases) for the bandpass space, and show that the frame (resp. Riesz) bounds are the same as those of the baseband frame (resp. Riesz basis).
引用
收藏
页码：369 / 372
页数：4
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