Distributed Hypothesis Testing Over Orthogonal Discrete Memoryless Channels.

A distributed binary hypothesis testing problem is studied in which multiplehelpers transmit their observations to a remote detector over orthogonaldiscrete memoryless channels. The detector uses the received samples from thehelpers along with its own observations to test for the joint distribution ofthe data. Single-letter inner and outer bounds for the type 2 error exponent(T2EE) is established for the special case of testing against conditionalindependence (TACI). Specializing this result for the one-helper problem, asingle-letter characterization of the optimal T2EE is obtained. Finally, forthe general hypothesis testing problem, a lower bound on the T2EE isestablished by using a separation based scheme that performs independentchannel coding and hypothesis testing. It is shown that this separation basedscheme recovers the optimal T2EE for the TACI problem.