Open Access Open Access  Restricted Access Subscription Access
Dependences of normalized conditional variance of ML duration estimate of UWB QRS

Estimation of ultrawideband quasi-radio signal duration

Andrey P. Trifonov, Yu. E. Korchagin, K. D. Titov


Quasi-likelihood and maximum likelihood algorithms of duration estimation for ultra-wideband quasi-radio signal of arbitrary shape with unknown amplitude and initial phase, influenced by additive Gaussian white noise, are synthesized. It was considered that conditions of relatively narrow band of received signal are not satisfied and its duration can constitute only several periods or a fraction of period of harmonic oscillation. It is shown that the structure of the algorithm for duration estimation of ultra-wideband quasi-radio signal is significantly different from the structure of duration estimation algorithm for narrowband radio signal. Relative bias and variance are determined as the statistical characteristics of synthesized duration estimates. The influence of unknown amplitude and initial phase on the accuracy of duration estimation is investigated. Quantitative limits for relation of signal bandwidth to its center frequency are formulated, such that the classical solution of the problem of duration estimation for narrowband radio signal possesses the required accuracy.


ultra-wideband; quasi-radio signal; maximum likelihood estimation; quasi-likelihood estimation; duration; variance; bias

Full Text:



RADZIEVSKIY, V.G.; TRIFONOV, P.A. Processing of Ultra-Wideband Signals and Interferences [in Russian]. Moscow: Radiotekhnika, 2009.

AIELLO, R.; BATRA, A. Ultra Wideband Systems. Elsevier, 2006.

SIRIWONGPAIRAT, W. PAM; LIU, K.J. RAY. Ultra-Wideband Communications Systems: Multiband OFDM Approach. Wiley, 2007. DOI:

NEKOOGAR, F.; DOLWA, F. Ultra-Wideband Radio Frequency Identification Systems. Springer, 2011. DOI:

SAHINOGLU, Z.; GEZICI, C.; GUVENC, I. Ultra-Wideband Positioning Systems. (Wiley, 2008). URL:

ARSLAN, H.; CHEN, Z.N.; DI BENEDETTO, M.-G. Ultra Wideband Wireless Communication. Wiley, 2006. ISBN: 978-0-471-71521-4.

TRIFONOV, A.P.; SHYNAKOV, Y.S. Combined Differentiation of Signals and Estimation of Their Parameters in the Interference Background [in Russian]. Moscow: Radio i Svyaz’, 1986.

TRIFONOV, A.P.; KORCHAGIN, Y.E. Reception of a signal with unknown duration. Radiophys. Quantum Electron., v.45, n.7, p.571-582, 2002. DOI:

TRIFONOV, A.P.; KORCHAGIN, Y.E.; KONDRATOVICH, P.A. Efficiency of estimating duration of a signal with unknown amplitude. Radioelectron. Commun. Syst., v.54, n.11, p.581-591, 2011. DOI:

KORCHAGIN, Y.E. Estimation duration of signal with unknown amplitude and phase. Radiotekhnika, n.9, p.11, 2013. URL:

KORCHAGIN, Y.E. Estimation of the radio pulse duration with unknown phase. Radioelectron. Commun. Syst., v.56, n.7, p.345-355, 2013. DOI:

KULIKOV, Y.I.; TRIFONOV, A.P. Estimation of Signal Parameters in the Interference Background [in Russian]. Moscow: Sov. Radio, 1978.

TIKHONOV, V.I. Optimal Signal Reception [in Russian]. Moscow: Radio i Svyaz’, 1983.

TRIFONOV, A.P.; RUDNEV, P.Y. Characteristics of estimating the amplitude of ultrawideband quasi-radio signal. Radioelectron. Commun. Syst., v.53, n.5, p.241-250, 2010. DOI:

TRIFONOV, A.P.; KORCHAGIN, Y.E.; BESPALOVA, M.B. Statistical properties of height and provisions of absolute maximum Markov random processes Bachelier type. Vestnik VGU. Ser. Fizika, Matematika, n.4, p.54, 2014. URL:

TIKHONOV, V.I.; MIRONOV, M.A. Markov Processes [in Russian]. Moscow: Radio i Svyaz’, 1977.

TRIFONOV, A.P.; BUTEYKO, V.K. Characteristics of combined estimation of signal parameters for partial violation of regularity conditions. Radiotekh. Elektron., v.36, n.2, p.319, 1991.



  • There are currently no refbacks.

© Radioelectronics and Communications Systems, 2004–2018
When you copy an active link to the material is required
ISSN 1934-8061 (Online), ISSN 0735-2727 (Print)
tel./fax +38044 204-82-31, 204-90-41