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RKHS approach to detection and estimation problems--IV: Non-Gaussian detection

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2 Author(s)
Duttweiler, D.L. ; AT&T Bell Labs., Holmdel, NJ ; Kailath, T.

We introduce the reproducing-kernel Hilbert space (RKHS) associated with the characteristic functional of a random process and use it to develop a general RKHS theory for non-Gaussian detection. Previously known results for choosing between processes with Gaussian and Poisson statistics are obtained as specializations of this theory.

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Information Theory, IEEE Transactions on  (Volume:19 ,  Issue: 1 )