Joint PDF construction for sensor fusion and distributed detection

Document Type

Conference Proceeding

Date of Original Version



A novel method of constructing a joint PDF under H1, when the joint PDF under H0 is known, is developed. It has direct application in distributed detection systems. The construction is based on the exponential family and it is shown that asymptotically the constructed PDF is optimal. The generalized likelihood ratio test (GLRT) is derived based on this method for the partially observed linear model. Interestingly, the test statistic is equivalent to the clairvoyant GLRT, which uses the true PDF under H1, even if the noise is non-Gaussian.

Publication Title

13th Conference on Information Fusion, Fusion 2010