Definition of parameters values of sinusoidal signal, distorted by unknown pulses
DOI:
https://doi.org/10.3103/S0735272708090045Abstract
In this paper a problem of definition of sinusoidal signals parameters distorted by unknown pulses is considered. It is supposed that shape, quantity and other parameters of pulses a priori unknown, but their total duration is less then an observation interval. It is given a criterion that this problem solution is achieved at the point of a minimum of a functional “duration residual” between known data and mathematical model.
References
S. M. Vovk and V. F. Borul’ko, “Duration Minimum Method for Finite Signals Reconstruction,” Radioelectron. Commun. Syst. 34(8), 45 (1991).
S. M. Vovk and V. F. Borul’ko, “Measuring Background Removal with a Duration Minimum Method,” Radioelectron. Commun. Syst. 41(10), 48 (1998).
S. M. Vovk and V. F. Borul’ko, “Reflectogram Reconstruction with Minimum Duration Microwave Instrumentation Extrapolation Method,” Radioelektronika, Informatika, Upravlenie, No. 1, 5 (2005).
V. I. Tikhonov, Optimal Signal Reception (Nauka, Moscow, 1986) [in Russian].
E. Timchmarsh, Function Theory (Nauka, Moscow, 1980) [in Russian].
E. Z. Demidenko, Optometry and Regression (Nauka, Moscow, 1989) [in Russain].
A. N. Tikhonov, A. V. Goncharskii, V. V. Stepanov, and A. G. Yagola, Control Algorithms and a Priory Information (Nauka, Moscow, 1983) [in Russian].
