"JOURNAL OF RADIO ELECTRONICS" (Zhurnal Radioelektroniki ISSN 1684-1719, N 6, 2018

contents of issue      DOI  10.30898/1684-1719.2018.6.3     full text in Russian (pdf)  

Measuring the moments of distribution of durations of random time intervals


E. S. Sarkisyan

Kotelnikov Institute of Radioengineering and Electronics of Russian Academy of Sciences, Mokhovaya 11-7, Moscow 125009, Russia


 The paper is received on March 1, 2018, after correction - on June 15,2018


Abstract.    Processing of a stationary train of random time intervals employing nonlinear transformation of the length of each interval aimed at eventually getting the interval distribution moments is discussed. The transformation is set to be following exponential law for reasons of materialization simplicity and accuracy. A set of equations is indicated, of which the limit form solution provides the moments in question. Two options of managing the equations, as well as the respective systematic error issue, are discussed, the error in one case heavily relying on one’s individuality. An outline of a construction for carrying out the proposed measurements is shown. It contains interval transformation units and an averaging device. No time to digit conversion is implied. This secures expansion of the range of intervals being processed into a shorter time domain as compared with a digital case. Some thoughts are shared regarding realization of the transformation units. Noted are ones based on peculiarities of the magnetization cycle of magnetic materials. For the case of processing uniformly distributed time intervals the anticipated results are presented and commented.

Key words: processing random length time intervals, measuring of distribution moments.


1.     Mandel L., Wolf E. Opticheskaya Kogerentntnost  i Kvantovaya Optika. [Optical Coherence and Quantum Optics]. Moscow. Fizmatlit Publ. 2000. 896 p. (in Russian)

2.  Kaplin V.A., Kyshin V.V., Maklyayev E.F., Fedotov S.N.,and  Teverovskii    Yu.L. Application of Silicon Photomultipliers for Studying the Shapes of Short Light Pulses Using the Single-Photon Method.  Instruments and Experimental Techniques, 2012, Vol.55, No.6, pp.687-691 

3.     Buriy E.V., Smirnova Yu.P. Bearing  of low intensity radiation registration quantum  nature  on distance measurements error in pulse laser location.   Kvantovaya Electronika – Quantum Electronics. 2004 No.12. pp.1147-1151.(In Russian) 

4.     Ross W.A.    A Multichannel Pulse-Height Analyzer. Hewlett-Packard Journal,   March 1968, pp. 11-15.

5.     Vygodskiy M.Ya. Spravochnik  po  Vysshey Matematike. [Higher Mathematics Reference Book]. Moskow, Nauka Publ. 1972. 812 p. (in Russian)

6.     Kobzar A.I. Priklladnaya Matematicheskaya Statistika. [Applied Mathematical Statistics]. Moskow, Fizmatlit Publ. 2006.  816 p. (in Russian)

7.     Tikhonov V.I. Statisticheskaya Radiotekhnika. [Statistical Radio Engineering]. Moscow, Radio i Svyaz’ Publ. 1982. 642 p. (in Russian)

8.     Shpol’skiy E.V. Atomnaya Fizika. [Atomic Physics]. Moscow, Izd. Fiziko-Matematicheskoy Literatury Publ. 1963. 576 p. (in Russian)

9.     Karlov N.V. , Kirichenko N.A. Nachal’niye Glavy Kvantovoy Mekhaniki. [Primary Chapters of Quantum Mechanics]. Moscow, Fizmatlit Publ. 2006. 360 p. (in Russian.)

10. Akhmanov S.A., D’yakov Yu.Ye. , Chirkin A.S. Vvedeniye v Statisticheskuyu radiofiziku i Optiku. [An Introduction to Statistical Radio Physics and Optics ]. Moscow, Nauka Publ. 1981. 640 p. (in Russian) 


For citation:

E. S. Sarkisyan. Measuring the moments of distribution of durations of random time intervals Zhurnal Radioelektroniki - Journal of Radio Electronics. 2018. No. 6. Available at http://jre.cplire.ru/jre/jun18/3/text.pdf

DOI  10.30898/1684-1719.2018.6.3