DOI: 10.17586/2226-1494-2015-15-4-716-721


V. V. Volkhonskiy, S. L. Malyshkin

Read the full article 
Article in Russian

For citation: Volkhonskiy V.V., Malyshkin S.L. Еstimation of intrusion detection probability by passive infrared detectors. Scientific and Technical Journal of Information Technologies, Mechanics and Optics, 2015, vol.15, no. 4, pp. 716–721.

Subject of Research. The paper deals with estimation of detection probability of intruder by passive infrared detector in different conditions of velocity and direction for automated analyses of physical protection systems effectiveness. Method. Analytic formulas for detection distance distribution laws obtained by means of experimental histogram approximation are used. Main Results. Applicability of different distribution laws has been studied, such as Rayleigh, Gauss, Gamma, Maxwell and Weibull distribution. Based on walk tests results, approximation of experimental histograms of detection distance probability distribution laws by passive infrared detectors was done. Conformity of the histograms to the mentioned analytical laws according to fitting criterion 2 has been checked for different conditions of velocity and direction of intruder movement. Mean and variance of approximate distribution laws were equal to the same parameters of experimental histograms for corresponding intruder movement parameters. Approximation accuracy evaluation for above mentioned laws was done with significance level of 0.05. According to fitting criterion 2, the Rayleigh and Gamma laws are corresponded mostly close to the histograms for different velocity and direction of intruder movement. Dependences of approximation accuracy for different conditions of intrusion have been got. They are usable for choosing an approximation law in the certain condition. Practical Relevance. Analytic formulas for detection probability are usable for modeling of intrusion process and objective effectiveness estimation of physical protection systems by both developers and users.

Keywords: detection probability, passive infrared detector, intruder, physical protection system.

1. Garcia M.L. The Design and Evaluation of Physical Protection Systems. Butterworth-Heinemann, 2001, 332 p.
2. Malyshkin S.L. Veroyatnostnyi podkhod k analizu effektivnosti sistem fizicheskoi zashchity [Probabilistic approach to effectiveness analysis of physical protection systems]. Proc.XLII Scientific and Educational Conference of NRU ITMO. St. Petersburg, 2013, pp. 215–218.
3. Volkhonskiy V.V. Izveshchateli Okhrannoi Signalizatsii [Security Alarm Detectors]. 4th ed. St. Petersburg, Ekopolis i Kul'tura Publ., 2004, 272 p.
4. Volkhonsky V.V. Kriterii vybora kontroliruemykh sredstvami obnaruzheniya parametrov v sisteme bezopasnosti [Choice criteria for controlled by means of detection parameters in security system]. Izv. vuzov. Priborostroenie, 2013, vol. 56, no. 1, pp. 8–12.
5. Kaushik A.R., Lovell N.H., Celler B.G. Evaluation of PIR detector characteristics for monitoring occupancy patterns of elderly people living alone at home. Conference Proceeding IEEE Engineering in Medicine and Biology Society, 2007, pp. 3802–3805.
6. Ulvila J.W., Gaffney J.E. Jr. Evaluation of intrusion detection system. Journal of Research of the National Institute of Standards and Technology, 2003, vol. 108, no. 6, pp. 453–473.
7. Gaffney J.E. Jr., Ulvila J.W. Evaluation of intrusion detectors: a decision theory approach. Proc. IEEE Computer Society Symposium on Research in Security and Privacy. Los Alamitos, USA, 2001, pp. 50–61.
8. Volkhonsky V.V., Vorobyov P.A. Metodika otsenki veroyatnosti obnaruzheniya nesanktsionirovannogo proniknoveniya optikoelektronnym izveshchatelem [Estimation method of unauthorized intrusion probability detection by passive infrared detector]. Scientific and Technical Journal of Information Technologies, Mechanics and Optics, 2012, no. 1 (77), pp. 120–123.
9. Volkhonskiy V.V., Vorob'ev P.A. Analiz kharakteristik obnaruzheniya narushitelya PIK datchikami okhrannoi signalizatsii [Characteristics analysis of intruder detection by passive infrared detectors]. Algoritm Bezopasnosti, 2012, no. 1, pp. 44–46.
10. Bogdanov A., Bagrov B. Osobennosti kharakteristik obnaruzheniya PIK i sovmeshchennykh PIK+RV datchikov dlya pomeshchenii [Features of detection performance of PIR and dual tecnology PIR+RW sensors for rooms]. Algoritm Bezopasnosti, 2012, no. 4, pp. 72–73.
11. Volkhonskiy V.V. Special features of estimation of duration intrusion to protected object. Legal, Regulatory and Metrological Support of Information Security in Ukraine, 2011, no. 1 (22), pp. 10–15.
12. Volkhonskiy V.V., Gatchin Yu.A. Podkhod k zadache analiza effektivnosti sistemy bezopasnosti na osnove veroyatnostnykh otsenok vremennykh parametrov protsessa proniknoveniya na zashchishchaemyi ob"ekt [Approach to security system effectiveness analyzes based on probability estimation of time parameters of intrusion process]. Vestnik Komp'yuternykh i Informatsionnykh Tekhnologii, 2012, no. 2, pp. 35–39.
13. Volkhonskiy V.V. K voprosu povysheniya veroyatnosti obnaruzheniya nesanktsionirovannogo proniknoveniya na okhranyaemyi ob"ekt [About task of probability detection increasing during unauthorized penetration to guarded object]. Vestnik of Voronezh Institute of the Ministry of Interior of Russia, 2011, no. 4, pp. 35–44.
14. Volkhonskiy V.V., Vorobev P.A., Trapsh R.R. Kriterii otsenki effektivnosti funktsionirovaniya optikoelektronnykh datchikov sistem fizicheskoi zashchity [The evaluating criterion of the PIR sensors effectiveness of physical protection systems]. Vestnik Komp'yuternykh i Informatsionnykh Tekhnologii, 2014, no. 3 (117), pp. 24–29.
15. Poleshchuk R. Evropeiskie standarty EN50131 dlya sistem okhrannoi signalizatsii [standards EN50131European for security alarm systems]. Algoritm Bezopasnosti, 2010, no. 4, pp. 28–31.
16. Bendat J.S., Piersol A.G. Measurement and Analysis of Random Data. NY, John Wiley & Sons, Inc., 1967.

Creative Commons License

This work is licensed under a Creative Commons Attribution-NonCommercial 4.0 International License
Copyright 2001-2019 ©
Scientific and Technical Journal
of Information Technologies, Mechanics and Optics.
All rights reserved.