The Simplified Quasi-Optimal Estimates of the Time and Power Parameters of a Low-Frequency Random Pulse with Arbitrary Modulating Function

DOI

10.2991/mcae-16.2016.38How to use a DOI?

Keywords

fast fluctuating random signal; maximum likelihood method; decision statistics; unknown parameters; Cramer-Rao bound; quasi-optimal estimation; local Markov approximation method; statistical modeling

Abstract

We introduce a simpler approach for obtaining of usable processing algorithms of fast fluctuating Gaussian pulses with arbitrary modulation function in conditions of parametric prior uncertainty. We carry out the synthesis and analysis of the quasi-optimal measurer of a low-frequency random pulse signal with unknown appearance time, mathematical expectation and dispersion. We find the asymptotically exact expressions for the conditional biases and variances of the resulting estimates. By methods of statistical computer modeling the usefulness and efficiency of the considered technique is corroborated, the working capacity of offered measurer is established, and applicability borders of asymptotically exact formulas for its characteristics are also defined.

Copyright

© 2016, the Authors. Published by Atlantis Press.

Open Access

This is an open access article distributed under the CC BY-NC license (http://creativecommons.org/licenses/by-nc/4.0/).

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TY  - CONF
AU  - Oleg V. Chernoyarov
AU  - Alexandra V. Salnikova
AU  - Alexander N. Faulgaber
AU  - Boris I. Shakhtarin
PY  - 2016/07
DA  - 2016/07
TI  - The Simplified Quasi-Optimal Estimates of the Time and Power Parameters of a Low-Frequency Random Pulse with Arbitrary Modulating Function
BT  - Proceedings of the 2016 International Conference on Mechatronics, Control and Automation Engineering
PB  - Atlantis Press
SP  - 158
EP  - 163
SN  - 2352-5401
UR  - https://doi.org/10.2991/mcae-16.2016.38
DO  - 10.2991/mcae-16.2016.38
ID  - Chernoyarov2016/07
ER  -