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Modified Q-functions and their use in detection analysis

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2 Author(s)
Di Blasio, G. ; Info-Com Dept., Rome Univ., Italy ; Neri, A.

The Marcum's Q-function is extended to complex arguments. In particular, a set of modified generalized Q-functions for imaginary values of one or both arguments are defined and their properties are investigated. An extended probabilistic interpretation for the modified Q-functions is given appealing to a proposed generalization of the concept of random variable. Complex pseudo-random variables, pseudo-events, and pseudo-probability measures are defined, which formally obey the usual rules of composition of probability measures of independent events. The modified Q-functions are then used to derive the Rayleigh multivariate multidimensional distribution function and the error probability for partially coherent detection of equicorrelated signals

Published in:

Information Theory, IEEE Transactions on  (Volume:37 ,  Issue: 4 )

Date of Publication:

Jul 1991

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