Quasiprobable estimation of arrival instant of finite signal
DOI:
https://doi.org/10.3103/S0735272708010068Abstract
An algorithm, synthesized for some predictable signal’s form, is used to estimate the arrival instant of a signal having a priori unknown form. Asymptotically exact expressions against a background of Gaussian white influence, when signal-to-noise ratio is growing, were determined. Computer-aided simulation of the synthesized algorithm is carried out.
References
V. I. Tikhonov, Optimal Reception of Signals (Radio i Svyaz’, Moscow, 1983) [in Russian].
A. P. Trifonov and Yu. S. Shinakov, Joint Signals’ Recognition and Estimation of its Parameters against Interference (Radio i Svyaz’, Moscow, 1986) [in Russian].
A. S. Terent’ev, “Probability distribution of the absolute maximum time position at the output of matched filter,” Radiotekh. Elektron. 13, No. 4, 652 (1968).
E. I. Kulikov and A. P. Trifonov, Estimation of Signals’ Parameters against Interference (Sov. Radio, Moscow, 1978) [in Russian].
G. Kramer and M. Lidbetter, Stationary Random Processes (Mir, Moscow, 1969) [Russian translation].
A. P. Trifonov and A. V. Zakharov, “Characteristics of joint estimation of time-and-frequency localization region for a discontinuous random pulse,” Radiotekh. Elektron. 41, No. 11, 1316 (1996).
I. A. Ibragimov and R. Z. Khas’minskii, Asymptotic Estimation Theory (Nauka, Moscow, 1979) [in Russian].
M. I. Gryaznov, M. A. Gurevich, and M. A. Ryabinin, Pulses’ Parameters Measuring (Radio i Svyaz’, Moscow, 1991) [in Russian].
V. V. Bikov, Digital Simulation in Statistical Radio-Engineering (Sov. Radio, Moscow, 1971) [in Russian].
E. S. Ventsel’ and L. A. Ovcharov, Probability Theory and Its Engineering Applications (Nauka, Moscow, 1988) [in Russian].