PROCEDURE FOR EVALUATION OF THE SUPPORTING FREQUENCY SIGNAL OF THE SATELLITE COMMUNICATION SYSTEM IN CONTINUOUS MODE
DOI:
https://doi.org/10.15588/1607-3274-2021-2-3Keywords:
the received signal, the signal carrier frequency estimate, the minimum limiting variance of the carrier frequency estimate, the lower Kramer-Rao boundary.Abstract
Context. One of the features of satellite communication systems is the advantageous use in them during the reception of the signal in the continuous mode of phase modulation of signals intended for the transmission of useful information. The use of this type of modulation requires solving the problem of estimating the carrier frequency of the signal. And the estimation itself is reduced to the problem of estimating the frequency of the maximum in the spectrum of a fragment of a sinusoidal signal against the background of additive Gaussian noise. The article considers the process of estimating the carrier frequency of a signal by a satellite communication system in a continuous mode according to the rule of maximum likelihood.
Objective. Development of a procedure for estimating the carrier frequency of a signal received by a satellite communication system in a continuous mode according to the maximum likelihood rule.
Method. The procedure proposed in the work and the algorithm developed on its basis allows to estimate the carrier frequency according to the rule of maximum likelihood, taking into account the conditions of uncertainty of all signal parameters by the satellite communication system in continuous mode.
The results. For the purpose of practical introduction of the specified algorithm in operating schemes of satellite communication, schemes of its hardware realization are offered in work. To illustrate the ratio of the limits of the minimum limiting variance of the carrier frequency estimate, the paper presents dependencies that allow comparing the minimum limiting variance defined by the lower Cramer-Rao boundary and the minimum limiting variance determined taking into account all signal parameters.
Conclusions. Analysis of these dependences showed that in real conditions the minimum dispersion of the carrier frequency of the signal according to the rule of maximum likelihood received by the satellite communication system in continuous mode with uncertainty of all signal parameters may differ significantly from the minimum dispersion obtained by applying the lower Kramer-Rao boundary. Prospective research, development and creation of algorithms and techniques aimed at estimating the carrier frequency at the minimum limiting variance in the conditions of uncertainty of all parameters of the received signal should be aimed at the maximum approximation of the minimum limiting variance of the estimated carrier frequency to the lower Cramer-Rao boundary to estimate the carrier frequency under conditions of certainty of other signal parameters.
References
Horbatyy I. V. Systemy dystantsiynoho zonduvannya Zemli z kosmosu: monohrafiya. L’vov, SPOLOM, 2011, 612 p.
Grishin YU. P. Ipatov V. P., Kazarinov YU. M.. Radiotekhnicheskiye sistemy. Moscow, Vyssh. shk., 1990, 496 p.
Levin B. R. Teoreticheskiye osnovy statisticheskoy radiotekhniki. Mocow, Radio i svyaz’, 1989, 656 p.
D’Amico A., Mengali U., Taponecco L. Cramer-Rao Bound for Clock Drift in UWB Ranging Systems, IEEE Wireless Communication Letters, 2013, №2 (6), pp. 591– 594. DOI: 10.1109/WCL.2013.080813.130424.
Khalesehosseini S., Nielsen J. Generalized CRLB for DA and NDA Synchronization of UWB Signals with Clock Offset, IEEE International Conference on Communications, 24–28 June 2007: proceedings. Glasgow, Scotland, 2007, Vol. 10, pp. 4305–4311. DOI: 10.1109/ICC.2007.710.
Wei H. Q., Ye S., Wan Q. Influence of Phase on CramerRao Lower Bounds for Joint Time Delay and Doppler Stretch Estimation, 2007 9th International Symposium on Signal Processing and Its Applications (ISSPA-2007), 12–15 Feb. 2007: proceedings. Sharjah, Piscataway, 2007, pp. 1–4. DOI: 10.1109/ISSPA.2007.4555336.
Zhao Tong, Huang Tianyao Cramer-Rao Lower Bounds for the Joint Delay-Doppler Estimation of an Extended Target, IEEE Global Conference on Signal and Information Processing (GlobalSIP), 14–16 Dec. 2015: proceedings. Orlando, FL, USA, 2015, pp. 17–24. DOI: 10.1109/TSP.2015.2505681.
Nasir A. A., Durrani S., Kennedy R. A. Particle filters for joint timing and carrier estimation: Improved resampling guidelines and weighted bayesian cramer-rao bounds, IEEE Transactions on Communications, 2012, No. 60(5), pp. 1407–1419. DOI: 10.1109/TCOMM.2012.022912.100559.
Gogolev. I. V. Granica Kramera-Rao ocenki doplerovskoj deformacii i zaderzhki signala s proizvol’noj shirinoj spektra, Izvestiya vysshix uchebnyx zavedenij Rossii. Radioe'lektronika, 2016, No. 6, pp. 3–6.
Nan Z., Zhao T., Huang T. Cramer-Rao lower bounds of joint time delay and Doppler-stretch estimation with random stepped-frequency signals, 2016 IEEE International Conference on Digital Signal Processing (DSP), 2016: proceedings. Beijing, 2016, pp. 647–651. DOI: 10.1109/ICDSP.2016.7868638.
Liguori C., Pignotti A. Estimation of signal parameters in the frequency domain in the presence of harmonic interference: a comparative analysis, IEEE Transactions on Instrumentation and Measurement, 2006, Vol. 55, Issue 2, pp. 562–569. DOI: 10.1109/TIM.2006.870116
Pourhomayoun M., Fowler M. Cramer-Rao lower bound for frequency estimation for coherent pulse train with unknown pulse, IEEE Transactions on Aerospace and Electronic Systems, 2014, Vol. 50, No. 2, pp. 1304–1312. DOI: 10.1109/TAES.2014.130024
Yun S., Kim S., Koh J., Kang J. Analysis of Cramer-Rao lower bound for time delay estimation using UWB pulses, Ubiquitous Positioning, Indoor Navigation, and Location Based Service (UPINLBS), 2012, No. 1, pp. 1– 5. DOI: 10.1109/UPINLBS.2012.6409764.
Tavares G., Tavares L., Petrolino A. On the true cramerrao lower bound for data-aided carrier-phase-independent frequency offset and symbol timing estimation, IEEE Trans. Commun, 2010. No. 58(2), pp. 442–447. DOI: 10.1109/TCOMM.2010.02.090023
Salim O. H., Nasir A., Mehrpouyan H., et al.Channel, phase noise, and frequency offset in OFDM systems: Joint estimation, data detection, and hybrid cramer-rao lower bound, IEEE Trans. Commun, 2014, No.62(9), pp. 3311–3325. DOI: 10.1109/TCOMM.2014.2345056
Huang W. C., Li C. P., Li H. J. An investigation into the noise variance and the SNR estimators in imperfectlysynchronized OFDM systems, IEEE Trans. Wireless Commun, 2010, No. 9 (3), pp. 1159–1167. DOI: 10.1109/TWC.2010.03.090614
Chibane Y., Lamoreaux S. K., Pendlebury J. M., Smith K. F. Minimum variance of frequency estimations for a sinusoidal signal with low noise, Measurement Science and Technology, 1999, Vol. 6, No. 12, pp. 135–144. DOI: 10.1088/0957-0233/6/12/004.
Leman E. Teoriya tochechnogo otsenivaniya. Moscow, Nauka, 1991,448 p.
Borovkov A. A. Matematicheskaya statistika. SanktPeterburg, Lan’, 2010, 704 p.
Fomin A. I. Sinkhronizatsiya tsifrovykh radiosistem peredachi informatsii. Moscow, Sayns-Press, 2008, 280 p.
Dzh. Dzh. Stifler. Teoriya sinkhronnoy svyazi. Moscow, «Svyaz’», 1975, 484 p.
Turovsky O., Berkman L., Drobyk O., et al. Determination of the lower border of Cramer-Rao for evaluation of the carrier frequency of the radio technical communication channel signal, International Journal of Advanced Trends in Computer Science and Engineering, 2020, Vol. 9, No. 4, pp. 5838–5845. https://doi.org/10.30534/ijatcse/2020/243942020
Turovsky O., Drobyk O., Makarenko A. et al. Estimates of the carrier frequency of the signal received by the satellite communication system in package mode, International Journal of Advanced Trends in Computer Science and Engineering, 2020, Vol. 9, No. 3, pp. 3223–3228. https://doi.org/10.30534/ijatcse/2020/115932020
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