Stochastic Estimation of MIMO Detection Error Caused by Low-Bitwidth QR Decomposition

IF 6.3 Q1 ENGINEERING, ELECTRICAL & ELECTRONIC

IEEE Open Journal of the Communications Society Pub Date : 2024-12-11 DOI:10.1109/OJCOMS.2024.3515860

Alexander Osinsky;Roman Bychkov;Mikhail Kirichenko;Vladimir Lyashev;Andrey Ivanov

引用次数: 0

Abstract

In this paper, we propose a new approach to justify a roundoff error impact on the accuracy of the linear least squares (LS) solution using QR decomposition. This decomposition is widely employed to invert a matrix in the linear detector of the multi-user multi-antenna receiver. Compared to existing numerical results, the suggested stochastic bound is far closer to actual errors. It was put through a half-precision format test and verified in real-world scenarios generated by the Quadriga 2.0 tool and in random randsvd ensemble. The results of experiments show that our method predicts errors that are extremely similar to those observed in simulations. The suggested method can be used to examine the roundoff error in many other applications that require matrix inverse operations.

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低位宽QR分解对MIMO检测误差的随机估计

在本文中，我们提出了一种新的方法来证明舍入误差对线性最小二乘（LS）解精度的影响，使用QR分解。这种分解被广泛应用于多用户多天线接收机的线性检测器中矩阵的反演。与已有的数值结果相比，建议的随机界更接近实际误差。它通过了半精度格式测试，并在由Quadriga 2.0工具生成的实际场景和随机随机svd集合中进行了验证。实验结果表明，我们的方法预测的误差与模拟中观察到的非常相似。所建议的方法可用于检查许多其他需要矩阵逆操作的应用程序中的舍入误差。

本文章由计算机程序翻译，如有差异，请以英文原文为准。

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来源期刊

IEEE Open Journal of the Communications Society Multiple-

CiteScore

13.70

自引率

3.80%

发文量

审稿时长

10 weeks

期刊介绍： The IEEE Open Journal of the Communications Society (OJ-COMS) is an open access, all-electronic journal that publishes original high-quality manuscripts on advances in the state of the art of telecommunications systems and networks. The papers in IEEE OJ-COMS are included in Scopus. Submissions reporting new theoretical findings (including novel methods, concepts, and studies) and practical contributions (including experiments and development of prototypes) are welcome. Additionally, survey and tutorial articles are considered. The IEEE OJCOMS received its debut impact factor of 7.9 according to the Journal Citation Reports (JCR) 2023. The IEEE Open Journal of the Communications Society covers science, technology, applications and standards for information organization, collection and transfer using electronic, optical and wireless channels and networks. Some specific areas covered include: Systems and network architecture, control and management Protocols, software, and middleware Quality of service, reliability, and security Modulation, detection, coding, and signaling Switching and routing Mobile and portable communications Terminals and other end-user devices Networks for content distribution and distributed computing Communications-based distributed resources control.