Published in Aalo, V., & Viswanathan, R. (1991). A multilevel quantization scheme for the decentralized detection of an unknown signal. Proceedings: 1991 IEEE International Symposium on Information Theory (papers in summary form only received), 336. ©1991 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.


Recently a quantization and fusion scheme was proposed and analyzed for the distributed detection of an unknown signal in noise. The scheme is a modified version of the counting rules and can either be thought of as a feedback of the fusion decision to the local sensors or in terms of multiple partitioning of the observation space. The proposed quantization and fusion scheme is more robust than the counting rules and performs reasonably well in most configurations of the alternative hypothesis. In this paper we consider the unknown signal detection problem as a hypothesis testing problem with unrestricted alternatives and compare the performance of the scheme with that of the Pearson's Chi-square test.