ON GRADIENT CALCULATION IN QUATERNION ADAPTIVE FILTERING

被引：0

作者：

Jahanchahi, Cyrus ^{[1
]}

Took, Clive Cheong ^{[1
]}

Mandic, Danilo P. ^{[1
]}

机构：

[1] Univ London Imperial Coll Sci Technol & Med, Elect & Elect Engn Dept, London SW7 2AZ, England

来源：

2012 IEEE INTERNATIONAL CONFERENCE ON ACOUSTICS, SPEECH AND SIGNAL PROCESSING (ICASSP) | 2012年

基金：

英国工程与自然科学研究理事会;

关键词：

Quaternion gradient; conjugate gradient; involutions; HR calculus; Quaternion LMS (QLMS);

D O I：

暂无

中图分类号：

O42 [声学];

学科分类号：

070206 ; 082403 ;

摘要：

A novel way to calculate the gradient of real functions of quaternion variables, typical cost functions in quaternion signal processing, is proposed. This is achieved by revisiting quaternion involutions and by simplifying the existing HR derivatives. This has allowed us to express the class of quaternion least mean square (QLMS) algorithms in a more compact form while keeping the same generic form of LMS. Simulations in the prediction setting support the approach.

引用

页码：3773 / 3776

页数：4

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