Published in Madishetty, M., Kanchumarthy, V., Viswanathan, R., & Gowda, C.H. (2005). Distributed detection with channel errors. Proceedings of the Thirty-Seventh Southeastern Symposium on System Theory, 2005 (SSST '05), 302-306. doi: 10.1109/SSST.2005.1460926 ©2005 IEEE. Personal use of this material is permitted. However, permission to reprint/republish this material for advertising or promotional purposes or for creating new collective works for resale or redistribution to servers or lists, or to reuse any copyrighted component of this work in other works must be obtained from the IEEE. This material is presented to ensure timely dissemination of scholarly and technical work. Copyright and all rights therein are retained by authors or by other copyright holders. All persons copying this information are expected to adhere to the terms and constraints invoked by each author's copyright. In most cases, these works may not be reposted without the explicit permission of the copyright holder.


Performances of distributed detection (DD) systems employing a set of geographically dispensed sensors have been investigated for the past two decades. In this paper we study the variations in the false alarm and detection probabilities of a DD system due to the errors caused by the links between sensors and the fusion center. Both asymptotic and finite sample performances are studied. The results bring out the exact dependence of these probabilities on the link reliability. Such a study is meaningful because of the recent research interests in wireless sensor networks.