Work

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

Year: 2024

Type: article

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.

Source: IEEE Open Journal of the Communications Society

DOI: 10.1109/ojcoms.2024.3515860

Authors: Alexander Osinsky, Roman Bychkov, Mikhail Kirichenko, Vladimir Lyashev, Andrey Ivanov

Institutions: Skolkovo Institute of Science and Technology, Moscow Institute of Physics and Technology

Language: English

Topic: Matrix Theory and Algorithms

Subfield: Computational Theory and Mathematics

Field: Computer Science

Domain: Physical Sciences

Open Access status: gold

Estimated APC paid: $1,995

Funder: Russian Science Foundation