Lebesgue constants for Hadamard matrices

被引：0
|
作者：
Hadwin, D
Harrison, KJ [1 ]
Ward, JA
机构：
[1] Univ New Hampshire, Durham, NH 03824 USA
[2] Murdoch Univ, Murdoch, WA 6150, Australia
[3] Curtin Univ Technol, Bentley, WA 6102, Australia
来源：
JOURNAL OF FOURIER ANALYSIS AND APPLICATIONS | 2004年 / 10卷 / 03期
关键词：
Lebesgue constant; Hadamard matrices;
D O I：
10.1007/s00041-004-0929-0
中图分类号：
O29 [应用数学];
学科分类号：
070104 ;
摘要：
There are many advantages in the use of Hadamard matrices in digital signal processing. However one possible disadvantage is the so-called overflow, as measured by the associated Lebesgue constants. We show that for certain classes of recursively generated Hadamard matrices, there are logarithmic upper bounds for these constants. On the other hand, for some Hadamard matrices the Lebesgue constants are of order rootm These results have natural analogues in classical Fourier analysis.
引用
收藏
页码：247 / 258
页数：12
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