ON ESTIMATION OF NOISE VARIANCE IN 2-DIMENSIONAL SIGNAL-PROCESSING

被引：35

作者：

HALL, P ^{[1
]}

KAY, JW ^{[1
]}

TITTERINGTON, DM ^{[1
]}

机构：

[1] UNIV GLASGOW,DEPT STAT,GLASGOW G12 8QW,SCOTLAND

来源：

ADVANCES IN APPLIED PROBABILITY | 1991年 / 23卷 / 03期

关键词：

COMBINATORIAL; CONFIGURATION; DIFFERENCE; EFFICIENCY; IMAGE PROCESSING;

D O I：

10.2307/1427618

中图分类号：

O21 [概率论与数理统计]; C8 [统计学];

学科分类号：

020208 ; 070103 ; 0714 ;

摘要：

Estimation of noise variance is an important component of digital signal processing, in particular of image processing. In this paper we develop methods for estimating the variance of white noise in a two-dimensional degraded signal. We discuss optimal configurations of pixels for difference-based estimation, and describe asymptotically optimal selection of weights for the component pixels. After extensive analysis of possible configurations we recommend averaging linear configurations over a variety of different orientations (usually two or four). This approach produces estimators with properties of both statistical and numerical efficiency.

引用

页码：476 / 495

页数：20

共 17 条

[1]

BUCKLEY MJ, 1988, BIOMETRIKA, V75, P189, DOI 10.1093/biomet/75.2.189

[2]

GASSER T, 1986, BIOMETRIKA, V73, P625

[3]

HALL P, 1986, J ROY STAT SOC B MET, V48, P330

[4]

HALL P, 1987, J ROY STAT SOC B MET, V49, P184