Abstract
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.
| Original language | English |
|---|---|
| Pages (from-to) | 105-117 |
| Number of pages | 13 |
| Journal | Electronics and Communications in Japan (Part III: Fundamental Electronic Science) |
| Volume | 78 |
| Issue number | 8 |
| DOIs | |
| Publication status | Published - Jan 1 1995 |
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All Science Journal Classification (ASJC) codes
- Electrical and Electronic Engineering
Cite this
Optimum linear transformation for a quadratic form of signals. / Sakamoto, Hiroyasu.
In: Electronics and Communications in Japan (Part III: Fundamental Electronic Science), Vol. 78, No. 8, 01.01.1995, p. 105-117.Research output: Contribution to journal › Article
}
TY - JOUR
T1 - Optimum linear transformation for a quadratic form of signals
AU - Sakamoto, Hiroyasu
PY - 1995/1/1
Y1 - 1995/1/1
N2 - 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.
AB - 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.
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UR - http://www.scopus.com/inward/citedby.url?scp=0029350689&partnerID=8YFLogxK
U2 - 10.1002/ecjc.4430780811
DO - 10.1002/ecjc.4430780811
M3 - Article
VL - 78
SP - 105
EP - 117
JO - Electronics and Communications in Japan, Part III: Fundamental Electronic Science (English translation of Denshi Tsushin Gakkai Ronbunshi)
JF - Electronics and Communications in Japan, Part III: Fundamental Electronic Science (English translation of Denshi Tsushin Gakkai Ronbunshi)
SN - 1042-0967
IS - 8
ER -