E.A. Samoylin¹, K.V. Slavnov², S.V. Tatarintsev³

1-3 MESC AF «N.E. Zhukovsky and Y.A. Gagarin Air Force Academy»

Currently, there are quite a lot of methods and algorithms for filtering digital optical images distorted by various types of interference.

The most common interference in digital optical images is pulsed or applicative interference.

As is known, the case of applicative interference is the most difficult to synthesize image filtering algorithms. as a result, nonparametric spatial processing procedures based, as a rule, on ordinal statistics are widely used to deal with this class of interference. Meanwhile, the considered nonparametric processing procedures are spatially invariant, and in the case, for example, when the frequency of applicative interference is insignificant, the use of a rank filter can lead to more unavoidable distortions of the useful signal than to the apparent elimination of applicative ones, which will only worsen the image quality. In this regard, the task of developing applicative interference detectors becomes urgent. As many cases of practical use of optoelectronic systems show, the images obtained by them are most characterized by the appearance of modal applicative interference with a truncated (at the point of expectation) Gaussian brightness distribution.

In accordance with this, the aim of this work is to synthesize a statistically optimal modal applicative interference detector with a truncated Gaussian brightness distribution to improve the efficiency of rank-based filtering procedures for digital optical images. The essence of the proposed algorithm consists in an optimal estimation of the spatial position of applicative interference with a truncated Gaussian brightness distribution, based on the distinction between the center of the sliding aperture and its other elements, in the sense of the minimum average risk criterion.

As shown by the results of numerical studies, the proposed algorithm for detecting modal AP with a truncated Gaussian brightness distribution in digital images is statistically optimal by the criterion of minimal average risk. The presented results of numerical studies of the effectiveness of the proposed detector indicate its advantage over the known detector in almost the entire possible range of applicative interference intensity.

Samoylin E.A., Slavnov  K.V., Tatarintsev  S.V. Synthesis of a statistically optimal modal applicative interference detector with a truncated gaussian brightness distribution on digital optical images. Radioengineering. 2021. V. 85. № 1. P. 96−103. DOI: 10.18127/j00338486-

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