Low latency group‐sorted QR decomposition algorithm for larger‐scale MIMO systems

Abstract Sorted QR decomposition (SQRD) has been extensively adopted for various multiple‐input‐multiple‐output (MIMO) detectors, in which the sorting process incurs severe latency when it comes to larger‐scale MIMO situations. This paper proposes a group‐SQRD (GSQRD) algorithm to alleviate the late...

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Main Authors: Lirui Chen, Yu Wang, Zuocheng Xing, Shikai Qiu, Qinglin Wang, Yongzhong Li
Format: Article
Language:English
Published: Wiley 2021-07-01
Series:IET Communications
Online Access:https://doi.org/10.1049/cmu2.12168
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spelling doaj-dc10c3bceab44867b1bf910d44a7caa12021-07-07T12:44:49ZengWileyIET Communications1751-86281751-86362021-07-0115121548156010.1049/cmu2.12168Low latency group‐sorted QR decomposition algorithm for larger‐scale MIMO systemsLirui Chen0Yu Wang1Zuocheng Xing2Shikai Qiu3Qinglin Wang4Yongzhong Li5National Laboratory for Parallel and Distributed Processing National University of Defense Technology Changsha 410005 ChinaNational Laboratory for Parallel and Distributed Processing National University of Defense Technology Changsha 410005 ChinaNational Laboratory for Parallel and Distributed Processing National University of Defense Technology Changsha 410005 ChinaNational Laboratory for Parallel and Distributed Processing National University of Defense Technology Changsha 410005 ChinaNational Laboratory for Parallel and Distributed Processing National University of Defense Technology Changsha 410005 ChinaSchool of Computer Science Changsha University Changsha 410005 ChinaAbstract Sorted QR decomposition (SQRD) has been extensively adopted for various multiple‐input‐multiple‐output (MIMO) detectors, in which the sorting process incurs severe latency when it comes to larger‐scale MIMO situations. This paper proposes a group‐SQRD (GSQRD) algorithm to alleviate the latency problem of general SQRD architectures for larger‐scale MIMO systems. Via predictively sorting a group of 4 columns at one stage, the GSQRD could eliminate the processing latency by 41% for decomposing 16×16 complex‐valued matrices. Additionally, this percentage even rises up to 68% for decomposing 128×128 matrices. To analyse the side effects, the GSQRD is applied in various MIMO detectors in a simulation link, which exhibits a negligible performance degradation for MIMO detection. Moreover, GSQRD is a hardware‐friendly algorithm because the division and square root operations in GSQRD are converted to multiplications for simplifying the hardware implementation. Based on this algorithm, two corresponding hardware architectures, which contains 2 and 4 columns respectively in a sorting group, are also implemented with 65‐nm CMOS technology. These architectures can work at 513 MHz to decompose 16×16 complex‐valued matrices. The processing latencies are respectively 0.32 and 0.26 μs, superior to the state‐of‐art designs.https://doi.org/10.1049/cmu2.12168
collection DOAJ
language English
format Article
sources DOAJ
author Lirui Chen
Yu Wang
Zuocheng Xing
Shikai Qiu
Qinglin Wang
Yongzhong Li
spellingShingle Lirui Chen
Yu Wang
Zuocheng Xing
Shikai Qiu
Qinglin Wang
Yongzhong Li
Low latency group‐sorted QR decomposition algorithm for larger‐scale MIMO systems
IET Communications
author_facet Lirui Chen
Yu Wang
Zuocheng Xing
Shikai Qiu
Qinglin Wang
Yongzhong Li
author_sort Lirui Chen
title Low latency group‐sorted QR decomposition algorithm for larger‐scale MIMO systems
title_short Low latency group‐sorted QR decomposition algorithm for larger‐scale MIMO systems
title_full Low latency group‐sorted QR decomposition algorithm for larger‐scale MIMO systems
title_fullStr Low latency group‐sorted QR decomposition algorithm for larger‐scale MIMO systems
title_full_unstemmed Low latency group‐sorted QR decomposition algorithm for larger‐scale MIMO systems
title_sort low latency group‐sorted qr decomposition algorithm for larger‐scale mimo systems
publisher Wiley
series IET Communications
issn 1751-8628
1751-8636
publishDate 2021-07-01
description Abstract Sorted QR decomposition (SQRD) has been extensively adopted for various multiple‐input‐multiple‐output (MIMO) detectors, in which the sorting process incurs severe latency when it comes to larger‐scale MIMO situations. This paper proposes a group‐SQRD (GSQRD) algorithm to alleviate the latency problem of general SQRD architectures for larger‐scale MIMO systems. Via predictively sorting a group of 4 columns at one stage, the GSQRD could eliminate the processing latency by 41% for decomposing 16×16 complex‐valued matrices. Additionally, this percentage even rises up to 68% for decomposing 128×128 matrices. To analyse the side effects, the GSQRD is applied in various MIMO detectors in a simulation link, which exhibits a negligible performance degradation for MIMO detection. Moreover, GSQRD is a hardware‐friendly algorithm because the division and square root operations in GSQRD are converted to multiplications for simplifying the hardware implementation. Based on this algorithm, two corresponding hardware architectures, which contains 2 and 4 columns respectively in a sorting group, are also implemented with 65‐nm CMOS technology. These architectures can work at 513 MHz to decompose 16×16 complex‐valued matrices. The processing latencies are respectively 0.32 and 0.26 μs, superior to the state‐of‐art designs.
url https://doi.org/10.1049/cmu2.12168
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AT shikaiqiu lowlatencygroupsortedqrdecompositionalgorithmforlargerscalemimosystems
AT qinglinwang lowlatencygroupsortedqrdecompositionalgorithmforlargerscalemimosystems
AT yongzhongli lowlatencygroupsortedqrdecompositionalgorithmforlargerscalemimosystems
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