On estimation of noise variance in two-dimensional signal processing

Hall, P., Kay, J.W. and Titterington, D.M. (1991) On estimation of noise variance in two-dimensional signal processing. Advances in Applied Probability, 23(3), pp. 476-495.

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Publisher's URL: http://www.jstor.org/stable/1427618


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.

Item Type:Articles
Glasgow Author(s) Enlighten ID:Titterington, Professor D and Hall, Professor Peter and Kay, Dr James
Authors: Hall, P., Kay, J.W., and Titterington, D.M.
College/School:College of Science and Engineering > School of Mathematics and Statistics > Statistics
Journal Name:Advances in Applied Probability
Publisher:Applied Probability Trust

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