Optimum linear transformation for a quadratic form of signals

Hiroyasu Sakamoto

研究成果: Contribution to journalArticle査読

抄録

This paper proposes the optimum skew linear transformation of signals which gives the minimum mean error of a positive definite quadratic form of the signals. the relation of this problem with hybrid coding is emphasized. Based on conventional orthogonal KLT, the condition for the optimum transformation is given in a generalized eigenvalue problem. We show the geometrical meaning and a solving method of the condition, and discuss the existence and the uniqueness of its solution. Numerical performance comparisons show superiority of this transformation to others such as KLT and DCT. Because this transformation is a generalization of KLT to a general quadratic form, it is as significant as KLT is.

本文言語英語
ページ(範囲)105-117
ページ数13
ジャーナルElectronics and Communications in Japan (Part III: Fundamental Electronic Science)
78
8
DOI
出版ステータス出版済み - 1 1 1995

All Science Journal Classification (ASJC) codes

  • 電子工学および電気工学

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