Definition of parameters values of sinusoidal signal, distorted by unknown pulses

Authors

DOI:

https://doi.org/10.3103/S0735272708090045

Abstract

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

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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).

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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].

Published

2008-09-04

Issue

Section

Research Articles