Practical Short-Length Coding Schemes for Binary Distributed Hypothesis Testing

Elsa Dupraz; Ismaila Salihou Adamou; Reza Asvadi; Tad Matsumoto

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arXiv · 2405.07697

Practical Short-Length Coding Schemes for Binary Distributed Hypothesis Testing

Elsa Dupraz·Ismaila Salihou Adamou·Reza Asvadi·Tad Matsumoto

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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.

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Elsa Dupraz, Ismaila Salihou Adamou, Reza Asvadi, Tad Matsumoto. 2024-05-13. Practical Short-Length Coding Schemes for Binary Distributed Hypothesis Testing. https://arxiv.org/abs/2405.07697

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