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A sharp false alarm upper-bound for a matched filter bank detector

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2 Author(s)
Gerlach, K. ; Radar Div., Naval Res. Lab., Washington, DC, USA ; Sangston, K.J.

A sharp upper bound on the probability of false alarm, PF , of a matched filter bank detector over the class of input variates that are zero mean and have a specified covariance matrix, R xx, is derived. This bound is a function of the detector threshold, T, and Rxx. It is shown that the bound is inversely proportional to T2. Hence there may be a wide variation of PF over the class since the PF for Gaussian inputs varies as exp(-T2)

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Information Theory, IEEE Transactions on  (Volume:40 ,  Issue: 3 )