Title :
RKHS approach to detection and estimation problems--IV: Non-Gaussian detection
Author :
Duttweiler, Donald L. ; Kailath, Thomas
Author_Institution :
AT&T Bell Labs., Holmdel, NJ
fDate :
1/1/1973 12:00:00 AM
Abstract :
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.
Keywords :
Hilbert spaces; Signal detection; Stochastic processes; Correlators; Gaussian distribution; Gaussian processes; Hilbert space; Multidimensional systems; Object detection; Probability density function; Probability distribution; Random processes; Receivers;
Journal_Title :
Information Theory, IEEE Transactions on
DOI :
10.1109/TIT.1973.1054928
