Skip to main content
Log in

Localization of Random Pulse Point Sources Using Physically Implementable Search Algorithms

  • Published:
Optoelectronics, Instrumentation and Data Processing Aims and scope

Abstract

High-speed algorithms for detecting and localizing randomly distributed pulse point objects capable of generating instantaneous delta pulses at random time instances. The search is carried out using the reception device (detector), which can freely move within the search interval and dynamically adjust the size of the scanning window. In this work the a priori information about the distribution of the sought signal source is limited by the single-mode functions with a stepwise probability density function, which provides that the algorithms are physically implementable. The parameters of the optimal search are computed in dependence on the a priori probability density function of the sought signal source and the required localization accuracy.

This is a preview of subscription content, log in via an institution to check access.

Access this article

Price excludes VAT (USA)
Tax calculation will be finalised during checkout.

Instant access to the full article PDF.

Fig. 1

Similar content being viewed by others

REFERENCES

  1. H. Poor, An Introduction to Signal Detection and Estimation (Springer-Verlag, New York, 1985).

    Google Scholar 

  2. C. Szegedy, A. Toshev, and D. Erhan, ‘‘Deep neural networks for object detection,’’ Adv. Neural Inf. Process. Syst. 26, 1–8 (2013).

    Google Scholar 

  3. G. Cao, X. Xie, W. Yang, et al., ‘‘Feature-fused SSD: Fast detection for small objects,’’ Proc. SPIE 10615, 106151E. https://doi.org/10.1117/12.2304811

  4. C. Grupen and I. Buvat, Handbook of Particle Detection and Imaging (Springer, Berlin, 2011). https://doi.org/10.1007/978-3-642-13271-1

  5. I. A. Birger, Technical Diagnostics (Mashinostroenie, Moscow, 1978).

    Google Scholar 

  6. C. E. Shannon, ‘‘A mathematical theory of communication,’’ Bell Syst. Tech. J. 27, 379–423 (1948). https://doi.org/10.1002/j.1538-7305.1948.tb01338.x

    Article  MathSciNet  MATH  Google Scholar 

  7. B. V. Gniedenko, J. K. Bielajew, and A. D. Sołowiew, Mathematical Methods in Theory of Reliability (Nauka, Moscow, 1965; WNT, Warszawa, 1968).

  8. X. Zhu, L. Wen, G. Hobbs, Y. Zhang, Y. Wang, D. R. Madison, R. N. Manchester, M. Kerr, P. A. Rosado, and J.-B. Wang, ‘‘Detection and localization of single-source gravitational waves with pulsar timing arrays,’’ Mon. Not. R. Astron. Soc. 449, 1650–1663 (2015). https://doi.org/10.1093/mnras/stv381

    Article  ADS  Google Scholar 

  9. S. Weinberg, Cosmology (Oxford Univ. Press, New York, 2008).

    MATH  Google Scholar 

  10. V. S. Kirichuk, K. Yu. Mokin, and A. L. Reznik, ‘‘Algorithms for processing of a series of digital aerospace images based on automatic search for the conjugate points,’’ Patern Recognit. Image Anal. 11, 192–194 (2001).

    Google Scholar 

  11. G. I. Gromilin, V. P. Kosykh, S. A. Popov, and V. A. Streltsov, ‘‘Suppression of the background with drastic brightness jumps in a sequence of images of dynamic small-size objects,’’ Optoelectron., Instrum. Data Process. 55, 213–221 (2019) https://doi.org/10.3103/S8756699019030014

    Article  ADS  Google Scholar 

  12. V. K. Klochko, ‘‘Detection of moving objects by a passive scanning system,’’ Optoelectron., Instrum. Data Process. 55, 59–65 (2019). https://doi.org/10.3103/S8756699019010102

    Article  ADS  Google Scholar 

  13. A. L. Reznik, V. M. Efimov, A. A. Solov’ev, and A. V. Torgov, ‘‘Errorless readout of random discrete-point fields,’’ Optoelectron., Instrum. Data Process. 48, 506–514 (2012). https://doi.org/10.3103/S8756699012050111

    Article  Google Scholar 

  14. A. L. Reznik, A. V. Tuzikov, A. A. Soloview, and A. V. Torgov, ‘‘Time-optimal algorithms of searching for pulsed-point sources for systems with several detectors,’’ Optoelectron., Instrum. Data Process. 53, 203–209 (2017). https://doi.org/10.3103/S8756699017030013

    Article  ADS  Google Scholar 

  15. A. L. Reznik, A. V. Tuzikov, A. A. Soloviev, A. V. Torgov, and V. A. Kovalev, ‘‘Time-optimal algorithms focused on the search for random pulsed-point sources,’’ Comput. Opt. 43, 605–610 (2019). https://doi.org/10.18287/2412-6179-2019-43-4-605-610

    Article  ADS  Google Scholar 

Download references

Funding

The work is carried out under partial support of the Russian Foundation for Basic Research (project no. 19-01-00128) and of the Ministry of Science and Higher Education of the Russian Federation (state registration no. AAA-A17-117052410034-6).

Author information

Authors and Affiliations

Authors

Corresponding authors

Correspondence to A. L. Reznik, A. A. Solov’ev or A. V. Torgov.

Additional information

Translated by E. Oborin

About this article

Check for updates. Verify currency and authenticity via CrossMark

Cite this article

Reznik, A.L., Solov’ev, A.A. & Torgov, A.V. Localization of Random Pulse Point Sources Using Physically Implementable Search Algorithms. Optoelectron.Instrument.Proc. 56, 598–607 (2020). https://doi.org/10.3103/S8756699020060114

Download citation

  • Received:

  • Revised:

  • Accepted:

  • Published:

  • Issue Date:

  • DOI: https://doi.org/10.3103/S8756699020060114

Keywords:

Navigation