An algorithm to compute Unified Complex Hadamard Transform

被引:0
|
作者
Rahardja, S [1 ]
Xie, SL [1 ]
机构
[1] Agcy Sci Technol & Res, Inst Infocomm Res, Media Proc Dept, Singapore 119613, Singapore
关键词
Complex Hadamard matrix; Unified Complex Hadamard Transform; Walsh Hadamard Transform; complex factor;
D O I
10.1109/ISSPA.2003.1224843
中图分类号
TP18 [人工智能理论];
学科分类号
081104 ; 0812 ; 0835 ; 1405 ;
摘要
This paper focuses on the study of Unified Complex Hadamard Transforms (UCHT) whose transformation matrices contain elements +/-1 and +/-i. New properties of the UCHT are presented. From the newly discovered properties, the UCHT can be conveniently calculated by computing real Walsh Hadamard transform (WHT) of real and imaginary parts of a set of data, which are multiplied by a set of constant complex values, and multiplying the transformed values by some constant complex factors.
引用
收藏
页码:173 / 176
页数:4
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