A NOTE ON REARRANGEMENTS, SPECTRAL CONCENTRATION, AND THE ZERO-ORDER PROLATE SPHEROIDAL WAVE-FUNCTION

被引：13
作者：
DONOHO, DL
STARK, PB
机构：
[1] Department of Statistics, University of California, Berkeley, Berkeley, CA
来源：
IEEE TRANSACTIONS ON INFORMATION THEORY | 1993年 / 39卷 / 01期
关键词：
SYMMETRICAL DECREASING REARRANGEMENT; UNCERTAINTY PRINCIPLE; SMOOTHING; SPARSITY CONSTRAINTS; PROLATE SPHEROIDAL WAVE-FUNCTIONS;
D O I：
10.1109/18.179370
中图分类号：
TP [自动化技术、计算机技术];
学科分类号：
0812 ;
摘要：
If the measure of the support of a function f is small, its symmetric decreasing rearrangement f* is more nearly bandlimited to low frequencies than f, while their norms are equal. An immediate corollary is that the time-limited zero-order prolate spheroidal wavefunction is the extremal function for a new optimization problem involving time- and bandlimiting. The result has an application in exploration seismology.
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页码：257 / 260
页数：4
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