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  5. Study of the properties of optimum spectral filtration of optical radiation with the use of the normed Kullback-Leibler divergence

Study of the properties of optimum spectral filtration of optical radiation with the use of the normed Kullback-Leibler divergence

L. Kupchenko, A. Rybiak, O. Goorin
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Description: The article is devoted to the study of the properties of the optimal dynamic spectral filtration in target detection electrooptical systems. The efficiency of optimal processing of optical signals depends on how correspondent the spectral characteristics of the input emissions of the target and the background to the information contained in the database are. Therefore, studies aimed at assessing the degree of signal matching in systems with dynamic spectral filtering are relevant. An information criterion the normalized Kulbak-Leibler divergence is used to assess the matching of optimal signal processing. The purpose of the article is to study the efficiency of the information criterion in order to estimate the matching of optimal processing of optical signals through mathematical modeling of the dynamic spectral filtration of radiation in electro-optical systems. Using the normalized Kulbak-Leibler divergence, the properties of optimal pre-detection processing of optical signals are studied. The examples show to what extent the differences in the statistical characteristics of input and reference signals affect the information matching indicator. In particular, the article poses and solves three problems that illustrate the process of optimal spectral filtration in the following situations: 1) the statistical properties of the input and reference signals coincide completely; 2) the mean brightness of the optical radiation of the target and the background at the input of the electro-optical system has changed; 3) the statistical characteristics of the background input signal differ from the reference values.


Keywords: electro-optical system, Kullback-Leibler divergence, dynamic spectral filtering, optimal processing of optical signals

Reference:
Kupchenko, L.F., Rybiak, A.S. and Hurin, O.O. (2018), “Doslidzhennia vlastyvostei optymalnoi spektralnoi filtratsii optychnoho vyprominiuvannia z vykorystanniam normovanoi dyverhentsii Kulbaka-Leiblera” [Study of the properties of optimum spectral filtration of optical radiation with the use of the normed Kullback-Leibler divergence], Science and Technology of the Air Force of Ukraine, No. 2(31), pp. 116-121. https://doi.org/10.30748/nitps.2018.31.15.