RUS  ENG JOURNALS   PEOPLE   ORGANISATIONS   CONFERENCES   SEMINARS   VIDEO LIBRARY   PACKAGE AMSBIB
General information
Latest issue
Archive
Impact factor

Search papers
Search references

RSS
Latest issue
Current issues
Archive issues
What is RSS



Probl. Peredachi Inf.:
Year:
Volume:
Issue:
Page:
Find






Personal entry:
Login:
Password:
Save password
Enter
Forgotten password?
Register


Probl. Peredachi Inf., 2017, Volume 53, Issue 4, Pages 69–83 (Mi ppi2253)  

Methods of Signal Processing

On one problem in multichannel signal detection

E. V. Burnaevab, G. K. Golubevac

a Kharkevich Institute for Information Transmission Problems, Russian Academy of Sciences, Moscow, Russia
b Skolkovo Institute of Science and Technology (Skoltech), Skolkovo, Russia
c CNRS, Aix-Marseille Université, I2M, UMR 7353, Marseille, France

Abstract: We consider a statistical problem of detecting a signal with unknown energy in a multichannel system, observed in a Gaussian noise. We assume that the signal can appear in the $k$th channel with a known small prior probability $\bar\pi_k$. Using noisy observations from all channels, we would like to detect whether the signal is presented in one of the channels or we observe pure noise. We describe and compare statistical properties of the maximum posterior probability test and optimal Bayes test. In particular, for these tests we obtain limiting distributions of test statistics and define sets of their undetectable signals.

Funding Agency Grant Number
Russian Foundation for Basic Research 16-29-09649 офи_м
Russian Science Foundation 14-50-00150
Supported in part by the Russian Foundation for Basic Research, project no. 16-29-09649-ofi-m.
The research was carried out at the Institute for Information Transmission Problems of the Russian Academy of Sciences at the expense of the Russian Science Foundation, project no. 14-50-00150.


Full text: PDF file (419 kB)
First page: PDF file
References: PDF file   HTML file

English version:
Problems of Information Transmission, 2017, 53:4, 368–380

Bibliographic databases:

UDC: 621.391.1+519.2
Received: 19.06.2017
Revised: 20.09.2017

Citation: E. V. Burnaev, G. K. Golubev, “On one problem in multichannel signal detection”, Probl. Peredachi Inf., 53:4 (2017), 69–83; Problems Inform. Transmission, 53:4 (2017), 368–380

Citation in format AMSBIB
\Bibitem{BurGol17}
\by E.~V.~Burnaev, G.~K.~Golubev
\paper On one problem in multichannel signal detection
\jour Probl. Peredachi Inf.
\yr 2017
\vol 53
\issue 4
\pages 69--83
\mathnet{http://mi.mathnet.ru/ppi2253}
\elib{http://elibrary.ru/item.asp?id=30729592}
\transl
\jour Problems Inform. Transmission
\yr 2017
\vol 53
\issue 4
\pages 368--380
\crossref{https://doi.org/10.1134/S0032946017040056}
\isi{http://gateway.isiknowledge.com/gateway/Gateway.cgi?GWVersion=2&SrcApp=PARTNER_APP&SrcAuth=LinksAMR&DestLinkType=FullRecord&DestApp=ALL_WOS&KeyUT=000424343800005}
\scopus{http://www.scopus.com/record/display.url?origin=inward&eid=2-s2.0-85041549792}


Linking options:
  • http://mi.mathnet.ru/eng/ppi2253
  • http://mi.mathnet.ru/eng/ppi/v53/i4/p69

    SHARE: VKontakte.ru FaceBook Twitter Mail.ru Livejournal Memori.ru


    Citing articles on Google Scholar: Russian citations, English citations
    Related articles on Google Scholar: Russian articles, English articles
  • Проблемы передачи информации Problems of Information Transmission
    Number of views:
    This page:117
    References:14
    First page:18

     
    Contact us:
     Terms of Use  Registration  Logotypes © Steklov Mathematical Institute RAS, 2020