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Poisson representation and monte carlo estimation of generalized marcum Q-function

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1 Author(s)
Weinberg, G.V. ; Electron. Warfare & Radar Div., Defence Sci. & Technol. Organ., Edinburgh, SA

We derive a new relationship which links the generalized Marcum Q-function to a probabilistic comparison of a pair of independent Poisson random variables. Consequently, a new expression for the detection probability of a series of incoherently integrated pulses, in Gaussian cluster is also derived. These results lead to simple Monte Carlo estimators of the Marcum Q-function. We thus investigate if Monte Carlo techniques are useful in the estimation of the Marcum Q-function

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Aerospace and Electronic Systems, IEEE Transactions on  (Volume:42 ,  Issue: 4 )