On One Problem in Multichannel Signal Detection
- Authors: Burnaev E.V.1,2, Golubev G.K.1,3
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Affiliations:
- Kharkevich Institute for Information Transmission Problems
- Skolkovo Institute of Science and Technology (Skoltech)
- CNRS, Aix-Marseille Université, I2M, UMR
- Issue: Vol 53, No 4 (2017)
- Pages: 368-380
- Section: Methods of Signal Processing
- URL: https://journal-vniispk.ru/0032-9460/article/view/166458
- DOI: https://doi.org/10.1134/S0032946017040056
- ID: 166458
Cite item
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 kth channel with a known small prior probability πk. 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.
About the authors
E. V. Burnaev
Kharkevich Institute for Information Transmission Problems; Skolkovo Institute of Science and Technology (Skoltech)
Author for correspondence.
Email: e.burnaev@skoltech.ru
Russian Federation, Moscow; Skolkovo
G. K. Golubev
Kharkevich Institute for Information Transmission Problems; CNRS, Aix-Marseille Université, I2M, UMR
Email: e.burnaev@skoltech.ru
Russian Federation, Moscow; Marseille, 7353
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