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Signal classification using statistical moments Export

Communications, IEEE Transactions on, Vol. 40, No. 5. (May 1992), pp. 908-916.

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carrier-to-noise-ratio cnr decision-rule general-hypothesis-test m-ary-psk-signals misclassification-probability modulation-classification-algorithm monotonic-increasing-function pattern-recognition phase-based-classifier phase-shift-keying qpsk quasi-log-likelihood-ratio-classifier signal-classification signal-phase square-law-classifier statistical-analysisbpsk statistical-moments

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An automatic modulation classification algorithm utilizing the statistical moments of the signal phase is developed and used to classify the modulation type of general M-ary PSK signals. It is shown that the nth moment (n even) of the phase of the signal is a monotonic increasing function of M. On the basis of this property, the authors formulate a general hypothesis test, develop a decision rule, and derive an analytic expression for the probability of misclassification. Two examples are given to demonstrate the performance of the algorithm. The algorithm is compared with the quasi-log-likelihood radio (qLLRC), square-law (SLC), and phase-based (PBC) classifiers. The algorithm is outperformed by q LLRC at low CNR but is comparable to SLC and is better than PBC. The qLLRC algorithm is only valid at CNR<0 dB and can be used only to discriminate between BPSK and QPSK signals, whereas the moments algorithm is more general


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