Sparse Code Transceiver Design for Unsourced Random Access with Analytical Power Division in Gaussian MAC

TL;DR

This paper introduces a novel sparse coding scheme for unsourced random access in Gaussian MACs, utilizing an analytical power division strategy to improve performance without extensive simulations.

Contribution

A new sparse code structure based on an analytically derived power division strategy that enhances robustness and performance in URA systems.

Findings

Achieves approximately 2.8 dB performance gain over existing schemes.

Does not rely on extrinsic feedback or extensive simulations.

Validates effectiveness through comprehensive numerical results.

Abstract

In this work, we discuss the problem of unsourced random access (URA) over a Gaussian multiple access channel (GMAC). To address the challenges posed by emerging massive machine-type connectivity, URA reframes multiple access as a coding-theoretic problem. The sparse code-oriented schemes are highly valued because they are widely used in existing protocols, making their implementation require only minimal changes to current networks. However, drawbacks such as the heavy reliance on extrinsic feedback from powerful channel codes and the lack of transmission robustness pose obstacles to the development of sparse codes. To address these drawbacks, a novel sparse code structure based on a universally applicable power division strategy is proposed. Comprehensive numerical results validate the effectiveness of the proposed scheme. Specifically, by employing the proposed power division method, which is derived analytically and does not require extensive simulations, a performance improvement of approximately 2.8 dB is achieved compared to schemes with identical channel code setups.