The New Calculation Technique of Characteristics of Multichannel Measurer

O.V Chernoyarov; M Vaculik; A.E Rozanov

doi:doi:10.11648/j.cssp.20130203.11

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The New Calculation Technique of Characteristics of Multichannel Measurer

O.V Chernoyarov, M Vaculik, A.E Rozanov

Published in Science Journal of Circuits, Systems and Signal Processing (Volume 2, Issue 3)

Received: 4 May 2013 Published: 10 June 2013

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Abstract

A new calculation technique of accuracy characteristics of multichannel measurer was offered, ensuring essentially more exact results in comparison with the known ones. The expressions for the signal parameter maximum likelihood estimate bias and variance were found, in case of the multichannel reception of the quasidetermined or random signal and while the prior distribution of the informative parameter and the number of channels can be any. The influence of the value of the prior interval length and the number of channels on the accuracy of this estimate was investigated. The procedures were specified of the minimal channel number choice with the predetermined error of measurement. By statistical modeling methods the range of applicability of the theoretical formulae was established for the estimate characteristics, with the different numbers of channels and signal-to-noise ratios.

Published in	Science Journal of Circuits, Systems and Signal Processing (Volume 2, Issue 3)
DOI	10.11648/j.cssp.20130203.11
Page(s)	78-84
Creative Commons	This is an Open Access article, distributed under the terms of the Creative Commons Attribution 4.0 International License (http://creativecommons.org/licenses/by/4.0/), which permits unrestricted use, distribution and reproduction in any medium or format, provided the original work is properly cited.
Copyright	Copyright © The Author(s), 2013. Published by Science Publishing Group

Keywords

Multichannel Reception, Maximum Likelihood Estimate, Measurement Characteristics, Statistical Modeling

References

[1]	A.P. Trifonov, Yu.S. Shinakov, Joint Discrimination of Signals and Estimation of their Parameters against Background [in Russian]. Moscow: Radio i Svyaz', 1986.
[2]	E.I. Kulikov, A.P. Trifonov, Estimation of Signal Parameters against Hindrances [in Russian]. Moscow: Sovetskoe Radio, 1978.
[3]	A.P. Trifonov, V.K. Buteiko, "Choice of channels number and signal parameter estimate against hindrances" [in Russian], Radio engineering (Moscow), 1981, vol. 36, no. 4, p. 56-58.
[4]	A.P. Trifonov, V.I. Parfenov, D.V. Mishin, "Optimum reception of a signal with unknown duration against the background of white noise", Radiophysics and Quantum Electronics, 1997, vol. 40, no 12, pp. 1031-1038.
[5]	V.V. Bykov, Numerical Modeling in Statistical Radio Engineering [in Russian]. Moscow: Sovetskoe Radio, 1971.
[6]	Luc Devroye, Non-uniform Random Variate Generation. Springer-Verlag, 1986.
[7]	O.V. Chernoyarov, "The statistical analysis of the noise-stable processing algorithm of the stochastic impulse signal with unknown parameters", Proceedings of the III International Conference "Antennas, Radiocommunication Systems and Means" (ICARSM’97). – Voronezh: VSU, 1997, vol. 2, pp. 185-195.
[8]	A.P. Trifonov, A.V. Zakharov, O.V. Chernoyarov, "Threshold characteristics of the quasiprobable estimate of the arrival time of a random radio pulse", Radioelectronics and Communications Systems, 1998, vol. 41, no 10, pp. 12-19.
[9]	A.P. Trifonov, A.V. Zakharov, "A theoretical and numerical study of the estimators for the parameters of a random signal with unknown moments of appearance and disappearance", Journal of Communications Technology and Electronics, 1996, vol. 41, no 10, pp. 907-913.

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APA Style

O.V Chernoyarov, M Vaculik, A.E Rozanov. (2013). The New Calculation Technique of Characteristics of Multichannel Measurer. Science Journal of Circuits, Systems and Signal Processing, 2(3), 78-84. https://doi.org/10.11648/j.cssp.20130203.11

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ACS Style

O.V Chernoyarov; M Vaculik; A.E Rozanov. The New Calculation Technique of Characteristics of Multichannel Measurer. Sci. J. Circuits Syst. Signal Process. 2013, 2(3), 78-84. doi: 10.11648/j.cssp.20130203.11

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AMA Style

O.V Chernoyarov, M Vaculik, A.E Rozanov. The New Calculation Technique of Characteristics of Multichannel Measurer. Sci J Circuits Syst Signal Process. 2013;2(3):78-84. doi: 10.11648/j.cssp.20130203.11

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@article{10.11648/j.cssp.20130203.11,
  author = {O.V Chernoyarov and M Vaculik and A.E Rozanov},
  title = {The New Calculation Technique of Characteristics of Multichannel Measurer},
  journal = {Science Journal of Circuits, Systems and Signal Processing},
  volume = {2},
  number = {3},
  pages = {78-84},
  doi = {10.11648/j.cssp.20130203.11},
  url = {https://doi.org/10.11648/j.cssp.20130203.11},
  eprint = {https://article.sciencepublishinggroup.com/pdf/10.11648.j.cssp.20130203.11},
  abstract = {A new calculation technique of accuracy characteristics of multichannel measurer was offered, ensuring essentially more exact results in comparison with the known ones. The expressions for the signal parameter maximum likelihood estimate bias and variance were found, in case of the multichannel reception of the quasidetermined or random signal and while the prior distribution of the informative parameter and the number of channels can be any. The influence of the value of the prior interval length and the number of channels on the accuracy of this estimate was investigated. The procedures were specified of the minimal channel number choice with the predetermined error of measurement. By statistical modeling methods the range of applicability of the theoretical formulae was established for the estimate characteristics, with the different numbers of channels and signal-to-noise ratios.},
 year = {2013}
}

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TY  - JOUR
T1  - The New Calculation Technique of Characteristics of Multichannel Measurer
AU  - O.V Chernoyarov
AU  - M Vaculik
AU  - A.E Rozanov
Y1  - 2013/06/10
PY  - 2013
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DO  - 10.11648/j.cssp.20130203.11
T2  - Science Journal of Circuits, Systems and Signal Processing
JF  - Science Journal of Circuits, Systems and Signal Processing
JO  - Science Journal of Circuits, Systems and Signal Processing
SP  - 78
EP  - 84
PB  - Science Publishing Group
SN  - 2326-9073
UR  - https://doi.org/10.11648/j.cssp.20130203.11
AB  - A new calculation technique of accuracy characteristics of multichannel measurer was offered, ensuring essentially more exact results in comparison with the known ones. The expressions for the signal parameter maximum likelihood estimate bias and variance were found, in case of the multichannel reception of the quasidetermined or random signal and while the prior distribution of the informative parameter and the number of channels can be any. The influence of the value of the prior interval length and the number of channels on the accuracy of this estimate was investigated. The procedures were specified of the minimal channel number choice with the predetermined error of measurement. By statistical modeling methods the range of applicability of the theoretical formulae was established for the estimate characteristics, with the different numbers of channels and signal-to-noise ratios.
VL  - 2
IS  - 3
ER  -

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Author Information

O.V Chernoyarov

Dept. of Radio engineering Devices of the National Research University “MPEI”, Moscow, Russia
M Vaculik

Dept. of Telecommunications and Multimedia of the University of Zilina, Zilina, Slovakia
A.E Rozanov

Dept. of Radio engineering Devices of the National Research University “MPEI”, Moscow, Russia

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APA Style

O.V Chernoyarov, M Vaculik, A.E Rozanov. (2013). The New Calculation Technique of Characteristics of Multichannel Measurer. Science Journal of Circuits, Systems and Signal Processing, 2(3), 78-84. https://doi.org/10.11648/j.cssp.20130203.11

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ACS Style

O.V Chernoyarov; M Vaculik; A.E Rozanov. The New Calculation Technique of Characteristics of Multichannel Measurer. Sci. J. Circuits Syst. Signal Process. 2013, 2(3), 78-84. doi: 10.11648/j.cssp.20130203.11

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AMA Style

O.V Chernoyarov, M Vaculik, A.E Rozanov. The New Calculation Technique of Characteristics of Multichannel Measurer. Sci J Circuits Syst Signal Process. 2013;2(3):78-84. doi: 10.11648/j.cssp.20130203.11

Copy | Download

@article{10.11648/j.cssp.20130203.11,
  author = {O.V Chernoyarov and M Vaculik and A.E Rozanov},
  title = {The New Calculation Technique of Characteristics of Multichannel Measurer},
  journal = {Science Journal of Circuits, Systems and Signal Processing},
  volume = {2},
  number = {3},
  pages = {78-84},
  doi = {10.11648/j.cssp.20130203.11},
  url = {https://doi.org/10.11648/j.cssp.20130203.11},
  eprint = {https://article.sciencepublishinggroup.com/pdf/10.11648.j.cssp.20130203.11},
  abstract = {A new calculation technique of accuracy characteristics of multichannel measurer was offered, ensuring essentially more exact results in comparison with the known ones. The expressions for the signal parameter maximum likelihood estimate bias and variance were found, in case of the multichannel reception of the quasidetermined or random signal and while the prior distribution of the informative parameter and the number of channels can be any. The influence of the value of the prior interval length and the number of channels on the accuracy of this estimate was investigated. The procedures were specified of the minimal channel number choice with the predetermined error of measurement. By statistical modeling methods the range of applicability of the theoretical formulae was established for the estimate characteristics, with the different numbers of channels and signal-to-noise ratios.},
 year = {2013}
}

Copy | Download

TY  - JOUR
T1  - The New Calculation Technique of Characteristics of Multichannel Measurer
AU  - O.V Chernoyarov
AU  - M Vaculik
AU  - A.E Rozanov
Y1  - 2013/06/10
PY  - 2013
N1  - https://doi.org/10.11648/j.cssp.20130203.11
DO  - 10.11648/j.cssp.20130203.11
T2  - Science Journal of Circuits, Systems and Signal Processing
JF  - Science Journal of Circuits, Systems and Signal Processing
JO  - Science Journal of Circuits, Systems and Signal Processing
SP  - 78
EP  - 84
PB  - Science Publishing Group
SN  - 2326-9073
UR  - https://doi.org/10.11648/j.cssp.20130203.11
AB  - A new calculation technique of accuracy characteristics of multichannel measurer was offered, ensuring essentially more exact results in comparison with the known ones. The expressions for the signal parameter maximum likelihood estimate bias and variance were found, in case of the multichannel reception of the quasidetermined or random signal and while the prior distribution of the informative parameter and the number of channels can be any. The influence of the value of the prior interval length and the number of channels on the accuracy of this estimate was investigated. The procedures were specified of the minimal channel number choice with the predetermined error of measurement. By statistical modeling methods the range of applicability of the theoretical formulae was established for the estimate characteristics, with the different numbers of channels and signal-to-noise ratios.
VL  - 2
IS  - 3
ER  -

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