Using stable distribution laws during evaluation of signal processing efficiency in optoelectronic systems
DOI:
https://doi.org/10.15587/1729-4061.2015.39950Keywords:
optoelectronic systems, Poisson model of signals, signal fluctuations, Gaussian and non-Gaussian statistics, generalized limit theoremsAbstract
The changes in the statistical properties of the output signals of the optoelectronic systems with limited dynamic range when forming spatial-temporal distribution of optical radiation in the photodetector plane were analyzed. It is shown that selecting statistical models based on the central or generalized limit theorems requires considering the system operation conditions and spatial-energy characteristics of signals. Studies of the asymptotic behavior of tails of the distribution densities of the output signals have shown the possibility of using stable distribution laws for describing the signals in the optoelectronic systems. ustainable distribution laws for describing the signals in optoelectronic systems. Comparative analysis of the system detection errors, depending on the selected statistical model of output signals has shown that using stable laws is essential in evaluating the signal processing efficiency. Improving processing algorithms in optoelectronic systems taking into account a statistical model of the output signals based on stable laws allows to avoid detection errors.
References
- Strelkova, A. I. (Ed.) (2010). Opticheskaja lokacija. Teoreticheskie osnovy priema i obrabotki opticheskih signalov. Kharkov.: Apostrof, 312.
- Mosjagin, G. M., Nemtinov, V. B., Lebedev, E. N. (1990). Teorija optiko-jelektronnyh sistem. Moscow, 432.
- Koks, D., Smit, V. (1967). Teorija vosstanovlenija. Moscow, 300.
- Lytjuga, A. P. (2009). Matematicheskaja model' signalov v televizionnyh sistemah pri nabljudenii nizkoorbital'nyh kosmicheskih ob’ektov v dnevnoe vremja. Zb. nauk. prac' Harkіvs'kogo unіversitetu Povіtrjanih Sil., 4 (22), 41–46.
- Fedoseev, V. I. (2011). Priem prostranstvenno-vremennyh signalov v optiko-jelektronnyh sistemah (puassonovskaja model'). Sp-b.: Universitetskaja kniga, 232.
- Gal'jardi, R., Karp, Sh. (1978). Opticheskaja svjaz'. Moscow: Svjaz', 424.
- Yang, F., Lu, Y. M., Sbaiz, L., VetteBits, M. (2012). From Photons. Oversampled Image Acquistion Using Binary Poisson Statistics. IEEE Transactions on image processing, 21 (4), 1421–1436. doi: 10.1109/tip.2011.2179306
- Berezin, V. V., Cybulin, A. K. (2008). Obnaruzhenie i ocenivanie koordinat izobrazhenij tochechnyh ob’ektov v zadachah astronavigacii i adaptivnoj optiki. Vestkik TOGU, 1 (8), 11–20.
- Nikitin, V. M., Fomin, V. N., Nikolaev, A. I., Borisenkov, I. L. (2008). Adaptivnaja pomehozashhita optiko-jelektronnyh informacionnyh sistem. Belgorod, 196.
- Strelkov, A., Zhilin, Ye., Lytyuga, A., Lisovenko, S. (2007). Signal Detection in Techical Vision Systems. Telecommunications and Radio Engineering, 66 (4), 283–293. doi: 10.1615/telecomradeng.v66.i4.10
- Bol'shakov, I. A., Rakoshic, V. S. (1978). Prikladnaja teorija sluchajnyh potoko. Moscow, 248.
- Belousov, Ju. I., Ivanov, D. V. (2008). Uchet harakteristik fluktuacij fonovogo izluchenija prigorizontnoj oblasti morja v algoritmah obrabotki signalov infrakrasnyh priborov. Izv. Vuzov. Priborostroenie, 52 (8), 43–49.
- Glauber, R. (1966). Opticheskaja kogerentnosti i statistika fotonov. Moscow: Nauka, 452.
- Sheluhin, O. I. (1998). Negaussovkie processy v radiotehnike. Moscow: Radio i svz', 310.
- Sibatov, R. T., Uchajkin, V. V. (2007). Drobko-differencial'naja kinetika perenosa zarjada v neuporjadochnyh poluprovodnikah. Fizika i tehnika poluprovodnikov, 41 (3), 346–351.
- Harvey, J. E., Choi, N., Krywonos, A., Peterson, G., Bruner, M. (2010). Image degradation due to scattering effects in two-mirror telescopes. Optical Engineering, 49 (6), 063202. doi: 10.1117/1.3454382
- Sabathil, M. (2004). Opto-electronic and quantum transport properties of semiconductor nanostructures. Vol. 67 of Selected Topics of Semiconductor Physics and Technology (Verein zur Förderung des Walter Schottky Instituts, Garching, 2004).
- Zolotarev, V. M. (1984). Ustojchivye zakony i ih primenenie. Moscow, 66.
- Levi, P. (1972). Stohasticheskie processy i brounovskoe dvizhenii. Moscow: Nauka, 375.
- Strelkova, T. A. Statistical properties of output signals in optical-television systems with limited dynamic range. Eastern-European Journal of Enterprise Technologies, 2/9 (68), 38–44. doi: 10.15587/1729-4061.2014.23361
- Strelkova, T. A. (2014). Studies on the Optical Fluxes Attenuation Process in Optical-electronic Systems. Semiconductor physics, quantum electronics & optoelectronics (SPQEO), 17 (4), 421–424.
Downloads
Published
How to Cite
Issue
Section
License
Copyright (c) 2015 Татьяна Александровна Стрелкова
This work is licensed under a Creative Commons Attribution 4.0 International License.
The consolidation and conditions for the transfer of copyright (identification of authorship) is carried out in the License Agreement. In particular, the authors reserve the right to the authorship of their manuscript and transfer the first publication of this work to the journal under the terms of the Creative Commons CC BY license. At the same time, they have the right to conclude on their own additional agreements concerning the non-exclusive distribution of the work in the form in which it was published by this journal, but provided that the link to the first publication of the article in this journal is preserved.
A license agreement is a document in which the author warrants that he/she owns all copyright for the work (manuscript, article, etc.).
The authors, signing the License Agreement with TECHNOLOGY CENTER PC, have all rights to the further use of their work, provided that they link to our edition in which the work was published.
According to the terms of the License Agreement, the Publisher TECHNOLOGY CENTER PC does not take away your copyrights and receives permission from the authors to use and dissemination of the publication through the world's scientific resources (own electronic resources, scientometric databases, repositories, libraries, etc.).
In the absence of a signed License Agreement or in the absence of this agreement of identifiers allowing to identify the identity of the author, the editors have no right to work with the manuscript.
It is important to remember that there is another type of agreement between authors and publishers – when copyright is transferred from the authors to the publisher. In this case, the authors lose ownership of their work and may not use it in any way.