Zhurnal Radioelektroniki - Journal of Radio Electronics. eISSN 1684-1719. 2021. No. 2
ContentsFull text in Russian (pdf)
DOI https://doi.org/10.30898/1684-1719.2021.2.11
UDC 621.396.96:621.26
Analysis of the effect of fast and slow multiplicative noise on the distortion of the radiation pattern of the «array-receiver» system
V. M. Artyushenko 1, V. I. Volovach 2
1 Technological University, 42, Gagarin Street, Korolev, 141070, Russia
2 Volga Region State University of Service, 4, Gagarin Street, Togliatti, 445017, Russia
The paper was received on February 16, 2021
Abstract. The effect of fast and slow multiplicative noise on the distortion of the beam pattern of the «array-receiver» system in the conditions of the smoothing effect of the receiver and taking into account the time of relative lag from the grating elements was analyzed. Expressions are obtained for instantaneous beam patterns of the «array-receiver» system in the absence and presence of multiplicative noise. It is shown that in the case of action of multiplicative noise the beam pattern of the «array-receiver» system is obtained by averaging the instantaneous pattern on the grating correctness at a time interval equal to the signal duration. Influence of periodic multiplicative noise on distortion of beam pattern of system «array-receiver» is investigted. It is shown that for all signals except frequency-modulated, the beam pattern expression is maximized at the time t0=0. It is also shown that the beam pattern distortion of the «array-receiver» system when exposed to periodic multiplicative noise is less than for the separately considered phased antenna array. The degree of reduction of distortion from smoothing action of matched receiver filter is determined; and the distortion is less, the greater the ratio of the spectrum width of the noise modulation function to the signal spectrum width. Analysis of the influence of fluctuation multiplicative noise on the distortion of beam pattern of «array-receiver» system for the case of matching with signal of receiver filter is performed. The power-average beam pattern of the «array-receiver» system is determined through the energy spectrum of the noise modulation function. It is noted that multiplicative noise, all other things being equal, has less effect on the beam-receiver pattern of the system when using broadband pulse signals without intra-pulse modulation and at the same time resolution in range. It is noted that in case of deep phase distortions for gratings with reversible phases, the distortion of the beam pattern of the «array-receiver» system caused by multiplicative noise is significantly more than those distortions associated with the extremity of the signal spectrum width. The newly smoothing effect of the receiver reduces the expansion of the beam lobe caused by multiplicative noise. An expression is obtained for the average power of the beam pattern of the «array-receiver» system with normally distributed phase distortions of the signal. The effect of the signal duration on beam distortions caused by multiplicative noise was quantified.
Key words: phased antenna array, fast multiplicative noise, slow multiplicative noise, beam pattern, grating-receiver system, noise modulation function, phase shift.
References
1. Benenson L.S., ed. Antennye reshetki. [Antenna arrays] Moscow, Sovetskoye Radio Publ. 1966. 368 p. (In Russian)
2. Brown W.M., Palermo C.J. Effect of Phase Errors on Resolution. IEEE Trans. on Military Electronics. 1965. Vol.9. No.1. P.4-9. https://doi.org/10.1109/TME.1965.4323169
3. Kremer I.Ya., Vladimirov V.I., Karpuhin V.I. Moduliruyushchie (mul'tip-likativnye) pomekhi i priem radiosignalov. [Modulating (multiplicative) noise and receiving radio signals]. Moscow, Sovetskoye Radio Publ. 1972. 480 p. (In Russian)
4. Levin B.R. Teoreticheskie osnovy statisticheskoi radiotekhniki. [Theoretical foundations of statistical radio engineering]. Moscow, Radio i Svyaz' Publ. 1989. 656 p. (In Russian)
5. Middlton D. An Introduction to Statistical Communication Theory. Wiley-IEEE Press. 1996. 1184 p.
6. Tikhonov V.I. Statisticheskaia radiotekhnika. [Statistical radio engineering]. Moscow, Radio i Svyaz' Publ. 1982. 624 p. (In Russian)
7. Richards M.A. Fundamentals of Radar Signal Processing. 2nd ed. McGraw-Hill Education. 2005. 539 p.
8. Artyushenko V. M., Volovach V. I. Analysis of the effect of fluctuating modulating noise on the statistical characteristics of the linear filter output signal distribution, Zhurnal Radioelektroniki [Journal of Radio Electronics]. 2020. No.7. https://doi.org/10.30898/1684-1719.2020.7.12 (In Russian)
9. Artyushenko V. M., Volovach V. I. Statistical Characteristics of the Signal Distribution at the Output of the Linear Filter in the Presence of Fluctuating Modulating Noise. 2020 Moscow Workshop on Electronic and Networking Technologies (MWENT). Proceedings. National Research University Higher School of Economics, Moscow, Russia, March 11–13, 2020. https://doi.org/10.1109/MWENT47943.2020.9067454
10. Artyushenko V.M., Volovach V.I. Analysis of the characteristics of phased and synthesized antenna arrays under the influence of multiplicative noise. VII Vserossiiskaia Mikrovolnovaia konferentsiia. Sbornik trudov [VII All-Russian Microwave Conference. Proc.]. Moscow, Kotelnikov IRE RAS. November 25-27, 2020. P.149-153 (In Russian)
11. Shifrin Ya.S. Voprosy statisticheskoi teorii antenn [Questions of statistical antenna theory]. Moscow, Sovetskoye Radio Publ. 1970. 384 p. (In Russian)
12. Artyushenko V. M., Volovach V. I. Distortion of the Radiation Pattern of the «Array-Receiver» System Exposed to Fast and Slow Multiplicative Noise. 2020 7th All-Russian Microwave Conference (RMC). Proceedings. Kotelnikov Institute of Radioengineering and Electonics of RAS, Moscow, Russia. November 25–27, 2020. https://doi.org/10.1109/RMC50626.2020.9312345
13. Akimov P.S., Bakut P.A., Bogdanovich V.A. et al. Teoriia obnaruzheniia signalov. [The theory of signal detection]. Moscow, Radio i svyaz' Publ. 1984. 440 p. (In Russian)
14. Shirman Ya.D., Manzhos V.N. Teoriya i tekhnika obrabotki radiolokacionnoj informacii na fone pomekh. [Theory and technique of processing radar information on the background of noisse]. Moscow, Radio i Svyaz' Publ. 1981. 416 p. (In Russian)
15. Artyushenko V. M., Volovach V. I. Detection of signals under the influence of multiplicative noise against the background of additive noise. Zhurnal Radioelektroniki [Journal of Radio Electronics]. 2020. No.7. https://doi.org/10.30898/1684-1719.2020.7.13 (In Russian).
16. Fal'kovich S.E. Priem radiolokacionnyh signalov na fone flyuktuacionnyh pomekh. [Receiving radar signals against fluctuation noise]. Moscow, Sovetskoye Radio Publ. 1961. 311 p. (In Russian)
17. Helstrom C.W. Statistical Theory of Signal Detection. Pergamon, 2nd edition. 2013. 470 p.
For citation:
Artyushenko V.M., Volovach V.I. Analysis of the effect of fast and slow multiplicative noise on the distortion of the radiation pattern of the «array-receiver» system. Zhurnal Radioelektroniki [Journal of Radio Electronics]. 2021. No.2. https://doi.org/10.30898/1684-1719.2021.2.11 (In Russian)