Abstract
In this paper, we analyze the non-asymptotic performance of scaled largest eigenvalue based detection, which is an optimal detector in the presence of a single primary user. Exact distributions of the test statistics have been derived, which lead to finite-dimensional characterizations of the false alarm probability. These results are obtained by taking advantage of the properties of the Mellin transform for products of independent random variables. Simulations are provided to verify the derived results, and to compare with the asymptotic result in literature.
Original language | English |
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Title of host publication | 4th International Congress on Ultra Modern Telecommunications and Control Systems 2012, ICUMT 2012 |
Pages | 955-958 |
Number of pages | 4 |
DOIs | |
Publication status | Published - 2012 |
MoE publication type | A4 Conference publication |
Event | International Congress on Ultra Modern Telecommunications and Control Systems - St. Petersburg, Russian Federation Duration: 3 Oct 2012 → 5 Oct 2012 Conference number: 4 |
Conference
Conference | International Congress on Ultra Modern Telecommunications and Control Systems |
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Abbreviated title | ICUMT |
Country/Territory | Russian Federation |
City | St. Petersburg |
Period | 03/10/2012 → 05/10/2012 |
Keywords
- Cognitive radio
- multi-antenna spectrum sensing
- multivariate analysis
- the Mellin transform