Zhurnal Radioelektroniki - Journal of Radio Electronics. eISSN 1684-1719. 2020. No. 4
Contents

Full text in Russian (pdf)
Russian page

 

DOI 10.30898/1684-1719.2020.4.11

UDC 621.391.1

 

METHOD OF NON-PARAMETRIC DISCRETE-CONTINUOUS FILTERING OF SIGNAL PARAMETERS USING CUTOFF FUNCTIONS AND FAST-FOURIER-TRANSFORM ALGORITHMS

 

Yu. G. Bulychev 1, A. V. Eliseev 2, A. V. Materschev 3, I. S. Seleznev 4

1 JSC “All-Russian Scientific Research Institute “Gradient””, Sokolova prosp., 96, Rostov-on-Don 344000, Russia

2JSC “Taganrog Scientific Research Institute of Communications”, Sedova str., 3, Taganrog 347900, Russia

3 Military unit 48514, Atamanskaya str., 36, Novocherkassk 346400, Russia

4 JSC “Scientific design bureau of computer systems”, 1-ya liniya str., 144a, Taganrog 347936, Russia

 

The paper is received on March 20, 2020, after correction – on April 20, 2020

 

Abstract. Method of useful signal parameter discrete-continuous non-parametric filtering, using evolutionary equations, fast-Fourier-transform algorithms and patch functions, is developed, allowing to get practically engineerable schemes of optimal receivers for location, navigation, communications and information transmission problems under the conditions of conventional (parameter) Gaussian approximation invalidity. Example of block scheme synthesis of receiver for signal with phase-difference modulation is given.

Key words: Markov process, discrete-continuous process, posteriori probability density, evolutionary equation, Markov homogeneous chain, Fokker-Plank-Kolmogorov equation, Stratonovich equation, phase-difference modulation, fast Fourier transform, patch function.

References

1. Tikhonov V.I., Kul’man N.K. Nelineinaya fil’tratziya i kvazikogerentnyi priem signalov. [Nonlinear filtration and partially coherent reception of signals]. Moscow, Sov. Radio Publ. 1975. 704 p. (In Russian)

2. Yarlykov M.S. Primenenie markovskoi teorii nelineinoi fil’tratzii v radiotekhnike. [Application of nonlinear filtration Markov theory in radiotechnics]. Moscow, Sov. Radio Publ. 1980. 360 p. (In Russian)

3. Bulychev Yu.G., Bulychev V. Yu., Parkhomenko N.G. On the extension of nonlinear filtration theory applicability in problems of target motion parameter estimation. Vestnik KGTU im. A.N. Tupoleva – Bulletin of A.N.Tupolev Kazan State Technical University. 2011. No. 4. P. 95-104. (In Russian)

4. Tikhonov V.I., Kharisov V.N., Smirnov V.A. Optimum filtering of discrete-continuous processes. Radiotekhnika i elektronika – Journal of Communication Technology and Electronics. 1978. Vol. 23. No. 7. P. 1441-1452. (In Russian)

5. Tikhonov V.I., Kharisov V.N. Optimal reception of discrete signals with fortuitous delay. Radiotekhnika i elektronika – Journal of Communication Technology and Electronics. 1980. Vol. 25. No. 3. P. 530-539. (In Russian)

6. Tikhonov V.I., Kharisov V.N. Optimal reception of discrete signals and bit synchronization. Radiotekhnika i elektronika – Journal of Communication Technology and Electronics. 1980. Vol. 25. No. 3. P. 540-551. (In Russian)

7. Tikhonov V.I., Kharisov V.N. Statisticheskyi analiz i sintez radiotekhnicheskikh ustroistv i sistem. [Statistical analysis and synthesis of radio engineering devices and systems]. Moscow, Radio i Svyaz Publ. 1991. 608 p. (In Russian)

8. Bulychev Yu.G., Pogonyshev S.A. Collaborative filtering of discrete-continuous processes on a real time basis. Izvestiya vysshikh uchebnykh zavedenii – Journal of the Russian Universitie., 1990. No. 3. P. 34-39. (In Russian)

9. Bulychev Yu.G., Pogonyshev S.A. Digital simulation methods of stochastic evolutionary differential equations in discrete bases. Zhurnal vychislitel’noi matematiki i matematicheskoi fiziki – Journal of Computational Mathematics and Mathematical Physics. 1990. Vol. 29. No. 18. P. 1170-1179. (In Russian)

10. Bulychev Yu.G., Pogonyshev S.A. Simulation of evolutionary stochastic equations in discrete bases. Zhurnal vychislitel’noi matematiki i matematicheskoi fiziki – Journal of Computational Mathematics and Mathematical Physic., 1991. Vol. 31. No. 3. P. 381-387. (In Russian)

11. Bulychev Yu.G., Pogonyshev S.A. Method of statistical synthesis and analysis of simultaneous detection and estimation systems in discrete-orthogonal bases. Avtomatika i telemekhanika –  Automation and Remote Contro. 1992. No. 5. P. 52-63. (In Russian)

12. Trenogin V.A. Funktzional’nyi analiz [Functional analysis]. Moscow, Nauka Publ. 1980. 496 p. (In Russian)

 

For citation:

Bulychev Yu.G., Eliseev A.V., Materschev A.V., Seleznev I.S. Method of non-parametric discrete-continuous filtering of signal parameters using cutoff functions and fast-Fourier-transform algorithms. Zhurnal Radioelektroniki - Journal of Radio Electronics. 2020. No. 4. Available at http://jre.cplire.ru/jre/apr20/11/text.pdf.  DOI 10.30898/1684-1719.2020.4.11