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Almost exact threshold calculations for covariance absolute value detection algorithm
Published in
2012
Abstract
Design of robust test statistics which mitigate the channel and noise uncertainties are the essential requirement of detection applications. Covariance absolute value (CAV) detection is one of the non-parametric detection methods which claims robustness [1]. Achieving the theoretical probability of detection performance depends on the accuracy in calculating the thresholding parameter, which in turn depends on the distribution of the test statistic under the null hypothesis. Since the exact analysis of distribution is cumbersome, approximation techniques are used. We present approximation techniques which achieve performance very close to the one obtained from exact distribution of the test statistic (using Monte-Carlo simulation). Further, an equivalent test statistic compared to CAV is proposed which uses the Bartlett decomposition of the sample covariance matrix and its performance is compared with CAV. The robustness of the proposed test statistic is verified for the noise uncertainty model assumed [2]. © 2012 IEEE.
About the journal
Journal2012 National Conference on Communications, NCC 2012
Open AccessNo
Concepts (17)
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    Absolute values
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    APPROXIMATION TECHNIQUES
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    Detection algorithm
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    Exact analysis
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    Exact distribution
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    Monte carlo simulation
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    NOISE UNCERTAINTIES
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    NONPARAMETRIC DETECTION
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    NULL HYPOTHESIS
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    Probability of detection
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    Robust tests
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    SAMPLE COVARIANCE MATRIX
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    Thresholding
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    Covariance matrix
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    Intelligent systems
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    Statistical tests
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    Statistics