Practical Short-Length Coding Schemes for Binary Distributed Hypothesis Testing
Elsa Dupraz, Ismaila Salihou Adamou, IMT Atlantique, France; Reza Asvadi, Shahid Beheshti University, Iran; Tad Matsumoto, Japan Advanced Institute of Science and Technology, Japan
Session:
Hypothesis Testing 3
Track:
11: Information Theory and Statistics
Location:
Ypsilon I-II-III
Presentation Time:
Fri, 12 Jul, 10:05 - 10:25
Session Chair:
Yuval Kochman, Hebrew University
Abstract
This paper investigates practical coding schemes for Distributed Hypothesis Testing (DHT). While the literature has extensively analyzed the information-theoretic performance of DHT and established bounds on Type-II error exponents through quantize and quantize-binning achievability schemes, the practical implementation of DHT coding schemes has not yet been investigated. Therefore, this paper introduces practical implementations of quantizers and quantize-binning schemes for DHT, leveraging short-length binary linear block codes. Furthermore, it provides exact analytical expressions for Type-I and Type-II error probabilities associated with each proposed coding scheme. Numerical results show the accuracy of the proposed analytical error probability expressions, and enable to compare the performance of the proposed schemes.