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A General Euclidean Geometric Representation for the Classical Detection Theory

2010/01/15 by Muhammet Fatih Bayramoglu, Bayramoglu, Muhammet Fatih, Ali Ozgur Yilmaz +1
Computer Science · Mathematics · #FOS: Computer and information sciences #Information Theory (cs.IT) #cs.IT #math.IT

paper · pdf · doi:10.48550/arxiv.1001.2647

5 pages, 3 figures, submitted to ISIT 2010

arxiv created 2010/01/15 · arxiv updated 2010/02/26

Abstract

We propose an Euclidean geometric representation for the classical detection theory. The proposed representation is so generic that can be employed to almost all communication problems. The hypotheses and observations are mapped into RN in such a way that a posteriori probability of an hypothesis given an observation decreases exponentially with the square of the Euclidean distance between the vectors corresponding to the hypothesis and the observation.

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