Journal of Radio Electronics. eISSN 1684-1719. 2024. №11
Full text in Russian (pdf)
DOI: https://doi.org/10.30898/1684-1719.2024.11.16
Characteristics of Frequency Estimate
of a Sequence of Ultra-Wideband Radio Signal
Yu.E. Korchagin, K.D. Titov, O.N. Zavalishina
Voronezh State University
394018, Russia, Voronezh, Universitetskaya pl., 1
The paper was received August 6, 2024.
Abstract. The work synthesizes a quasi-likelihood algorithm for estimating the frequency of a coherent sequence of ultra-wideband quasi-radio signals with unknown duration against a background of white Gaussian noise. When synthesizing the frequency estimation algorithm, instead of an unknown duration, some of its expected value is used. Analytical expressions are obtained for the statistical characteristics of the frequency estimate of a sequence of ultra-wideband quasi-radio signals depending on the pulse duration detuning parameter. In particular, the dependence of the variance of the frequency estimate of a sequence of ultra-wideband quasi-radio signals on the signal-to-noise ratio is obtained for different values of the duration detuning and the number of sequence pulses. It has been established that the frequency estimate bias does not depend on the number of pulses in the sequence, and for large values of the narrowband parameter there is no frequency estimate bias. It is shown that the duration detuning has a significant impact on the characteristics of the frequency estimate of a sequence of ultra-wideband quasi-radio signals, while at large values of the narrowband parameter the obtained expressions coincide with the known expressions for the variance and bias of the frequency estimates of a sequence of narrow-band radio signals.
Key words: ultra-wideband, quasi-radio signal, quasi-likelihood, estimation, frequency, duration.
Financing: This work is supported by the Russian Science Foundation under grant 24-19-00891, https://rscf.ru/project/24-19-00891/.
Corresponding author: Titov Konstantin Dmitrievich, titovkd@bk.ru
References
1. Kolokoltsev E.A., Myakinkov A.V., Andriyanov A.V. Application of ultra wideband signal with high repetition rate in forward scatter multi-static radar system for perimeter protection. Sbornik trudov XXIII Mezhdunarodnoy nauchno-tekhnicheskoy konferentsii «Radiolokatsiya, navigatsiya, svyaz'». 2017. Vol.3. P. 883-893. (In Russian)
2. Trifonov, A.P., Bespalova, M.B., Trifonov, P.A. et al. Quasi-likelihood estimation of the time parameters of ultrawideband signal sequence of unknown shape under the influence of narrowband interferences. Radioelectron.Commun.Syst. 2016. Vol. 59. P. 117–127. https://doi.org/10.3103/S0735272716030031
3. Razin'kov S.N. Accuracy of a fixing of radiators of sequences super-broadband impulses in triangulation systems. Physics of Wave Processes and Radio Systems 2015. №1. Vol.18. P. 55-59. (In Russian)
4. Radchenko Y.S., Sokhnyshev S.V. The space-time processing of the ultra wideband pulse sequences. Izvestiya vysshikh uchebnykh zavedeniy Rossii. Radioelektronika. 2003. №2. P. 19-28. (In Russian)
5. Afanasyev O.V., Razinkov S.N. Mean-square error of direction finding of ultra-wideband sources with spatial rejection of narrow-band interfering signals. Antenny. 2014. №5. P.14-18. (In Russian)
6. Korchagin Yu.E., Titov K.D. Detection of a sequence of ultra-wideband quasi radio signals against the background of noise. Radiophysics and Quantum Electronics. 2020. Vol.63. №7. P. 557-569. https://doi.org/10.1007/s11141-021-10079-7
7. Korchagin Yu.E., Titov K.D., Golovatskaya Ye.E. Ustroystvo izmereniya vremeni prikhoda i dlitel'nosti nekogerentnoy posledovatel'nosti sverkhshirokopolosnykh kvaziradiosignalov proizvol'noy formy [Device for measuring the arrival time and duration of an incoherent sequence of ultra-wideband quasi-radio signals of arbitrary shape]: Patent RF, № 2797027, 2023. (In Russian)
8. Korchagin Yu.E., Titov K.D., Zavalishina O.N. Estimation of the Amplitude of a Sequence of Ultra-Wideband Quasi-Radio Signals. 2022 Ural Symposium on Biomedical Engineering, Radioelectronics and Information Technology (USBEREIT), Yekaterinburg, Russian Federation. 2022. P.155-158.
https://doi.org/10.1109/USBEREIT56278.2022.99233639. Kulikov E.I., Trifonov A.P. Signal parameter estimation against the noise background. Moscow, Sovetskoe Radio. 1978. 296 p. (In Russian)
10. Nechaev E.P., Korchagin Yu.E. Effektivnost' sovmestnykh otsenok dlitel'nosti i doplerovskogo sdviga chastoty signala [Effectiveness of joint estimation of duration and doppler shift of frequency of a signal]. Izvestiya vuzov. Radioelektronika. 1996. V.39. №1. P.68-71. (In Russian)
11. Semenov K.V., Staritsin S.S., Abakumov A.N., Zhitkov I.V. The effect of the carrier frequency estimation error on the quality of receiving signals with OFDM modulation. Zhurnal Radioelektroniki [Journal of Radio Electronics] [online]. 2021. №10. https://doi.org/10.30898/1684-1719.2021.10.4 (In Russian)
12. Strunin V.I., Batyrev I.A. The OFDM-signal frequency position acquisition algorithm. Vestnik Omskogo universiteta = Herald of Omsk University. 2018. V.23. №.4. P.64–69. https://doi.org/10.25513/1812-3996.2018.23(4).64-69 (In Russian)
13. Ronkin M.V., Kalmikov A.A., Khrestina E.I. Estimation of frequency of radar signals with continuous emission for short sample length of realization based on processing of quadrature decomposition. Journal of the Russian Universities. Radioelectronics. 2015. №1. P.48-52. (In Russian)
14. Trifonov A.P., Rudnev P.E. Effektivnost' otsenki chastoty sverkhshirokopolosnogo kvaziradiosignala [Efficiency of ultra-wideband quasi-radio signal frequency estimation]. Izvestiya vuzov. Radioelektronika. 2011. V.54. №6. P.3-10. (In Russian)
15. Korchagin Yu.E., Titov K.D., Zavalishina O.N. Quasi-likelihood frequency estimation algorithm of an ultra-wideband quasi-radio signal with unknown duration. Zhurnal Radioelektroniki [Journal of Radio Electronics] [online]. 2023. №6. https://doi.org/10.30898/1684-1719.2023.8.9 (In Russian)
For citation:
Korchagin Yu.E., Titov K.D., Zavalishina O.N. Characteristics of frequency estimate of a sequence of ultra-wideband radio signal with unknown durations. // Journal of Radio Electronics. – 2024. – №. 11. https://doi.org/10.30898/1684-1719.2024.11.16 (In Russian)