The New Approach to the Synthesis of Single-Channel Consistent Estimates of the Time Signal Parameters
1 National Research University “MPEI”, 14, Krasnokazarmennaya st., 111250 Moscow, Russia
2 International Laboratory of Statistics of Stochastic Processes and Quantitative Finance of National Research Tomsk State University, 36, Lenin avenue, 634050 Tomsk, Russia
3 Universite du Maine, Avenue Olivier Messiaen, 72085 Le Mans, France
4 Bauman Moscow State University, 5, Baumanskaya 2-ya st., 105005 Moscow, Russia
Based on the introduced modification of a maximum likelihood method we suggest the new technique for synthesis of single-channel quasi-optimal processing algorithms of signals with multiple unknown parameters. We illustrate the proposed approach by the estimation of the appearance time and duration of a rectangular video pulse. We show that unlike technically complex multichannel maximum likelihood estimates, the single-channel quasi-optimal estimates of time signal parameters are consistent for the implementation. We also find the analytical expressions for characteristics of passed estimates which allow us to assess the reasonableness of the application of this or that processing algorithm in each specific case.
Key words: rectangular pulse / maximum likelihood method / unknown appearance time and duration / joint estimation / single-channel reception / characteristics of estimates
© Owned by the authors, published by EDP Sciences, 2016
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