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Proceedings Paper

Anomalous signal detection and estimation on the stochastic noise background
Author(s): Shakir K. Formanov; Anatoliy N. Startsev; Olimshan Sh. Sharipov; Jakhongir B. Azimov
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Paper Abstract

The problem of the minimax recovery of a nonparametric two-dimensional signal blurred by some khown function and observed with additive noise is considered. The unknown function of two variables is assumed to belong to a hyperrectangle of L2([0,1]2) Under some conditions, we find the exact asymptotic behavior of the quadratic minimax risk. We propose linear minimax estimator and show that its maximal risk attains asymptotically the minimax risk. In the case of non-Gaussian noise we propose other estimator that however is not asymptotically optimal.

Paper Details

Date Published: 30 May 2006
PDF: 7 pages
Proc. SPIE 6277, Optical Technologies for Telecommunications 2005, 62770B (30 May 2006); doi: 10.1117/12.692967
Show Author Affiliations
Shakir K. Formanov, Institute of Mathematics (Uzbekistan)
Anatoliy N. Startsev, Institute of Mathematics (Uzbekistan)
Olimshan Sh. Sharipov, Institute of Mathematics (Uzbekistan)
Jakhongir B. Azimov, Institute of Mathematics (Uzbekistan)

Published in SPIE Proceedings Vol. 6277:
Optical Technologies for Telecommunications 2005
Vladimir A. Andreev; Vladimir A. Burdin; Albert H. Sultanov, Editor(s)

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