A Detection Algorithm to Reduce the Condition Number of the Channel Matrix

Hyunwook YANG; Gyuyoung LEE; Seungwon CHOI

doi:10.1587/transcom.E98.B.280

A Detection Algorithm to Reduce the Condition Number of the Channel Matrix

Hyunwook YANG, Gyuyoung LEE, Seungwon CHOI

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When Zero-Forcing (ZF) is adopted as a detector, decreasing the condition number of the channel matrix increases the BER performance. In this paper, we propose a new detection algorithm which reduces the condition number of channel matrix down to nearly 2 on average. Since the least singular value of the channel matrix is a major factor determining the condition number, we, first, project the received signal into a space spanned by singular vectors that are orthogonal to the one corresponding to the least singular value. Then, LR decomposition is performed to reduce further the condition number of the projected channel matrix. Computer simulations show that the performance of the proposed algorithm is comparable to that of the ML detector for both correlated and uncorrelated channels. And also the proposed algorithm provides an at least 2dB improvement compared to the conventional LR-based Ordered Successive Interference Cancellation (LR-OSIC) detector with a Bit Error Rate (BER) of 10^-3 and a comparable computation load.

Publication: IEICE TRANSACTIONS on Communications Vol.E98-B No.2 pp.280-287

Publication Date: 2015/02/01

Publicized

Online ISSN: 1745-1345

DOI: 10.1587/transcom.E98.B.280

Type of Manuscript: PAPER

Category: Fundamental Theories for Communications

Authors

Hyunwook YANG
  Hanyang University
Gyuyoung LEE
  Hanyang University
Seungwon CHOI
  Hanyang University

Keyword

condition number, projection, lattice reduction, Zero-Forcing

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Hyunwook YANG, Gyuyoung LEE, Seungwon CHOI, "A Detection Algorithm to Reduce the Condition Number of the Channel Matrix" in IEICE TRANSACTIONS on Communications, vol. E98-B, no. 2, pp. 280-287, February 2015, doi: 10.1587/transcom.E98.B.280.
Abstract: When Zero-Forcing (ZF) is adopted as a detector, decreasing the condition number of the channel matrix increases the BER performance. In this paper, we propose a new detection algorithm which reduces the condition number of channel matrix down to nearly 2 on average. Since the least singular value of the channel matrix is a major factor determining the condition number, we, first, project the received signal into a space spanned by singular vectors that are orthogonal to the one corresponding to the least singular value. Then, LR decomposition is performed to reduce further the condition number of the projected channel matrix. Computer simulations show that the performance of the proposed algorithm is comparable to that of the ML detector for both correlated and uncorrelated channels. And also the proposed algorithm provides an at least 2dB improvement compared to the conventional LR-based Ordered Successive Interference Cancellation (LR-OSIC) detector with a Bit Error Rate (BER) of 10^-3 and a comparable computation load.
URL: https://globals.ieice.org/en_transactions/communications/10.1587/transcom.E98.B.280/_p

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@ARTICLE{e98-b_2_280,
author={Hyunwook YANG, Gyuyoung LEE, Seungwon CHOI, },
journal={IEICE TRANSACTIONS on Communications},
title={A Detection Algorithm to Reduce the Condition Number of the Channel Matrix},
year={2015},
volume={E98-B},
number={2},
pages={280-287},
abstract={When Zero-Forcing (ZF) is adopted as a detector, decreasing the condition number of the channel matrix increases the BER performance. In this paper, we propose a new detection algorithm which reduces the condition number of channel matrix down to nearly 2 on average. Since the least singular value of the channel matrix is a major factor determining the condition number, we, first, project the received signal into a space spanned by singular vectors that are orthogonal to the one corresponding to the least singular value. Then, LR decomposition is performed to reduce further the condition number of the projected channel matrix. Computer simulations show that the performance of the proposed algorithm is comparable to that of the ML detector for both correlated and uncorrelated channels. And also the proposed algorithm provides an at least 2dB improvement compared to the conventional LR-based Ordered Successive Interference Cancellation (LR-OSIC) detector with a Bit Error Rate (BER) of 10^-3 and a comparable computation load.},
keywords={},
doi={10.1587/transcom.E98.B.280},
ISSN={1745-1345},
month={February},}

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TY - JOUR
TI - A Detection Algorithm to Reduce the Condition Number of the Channel Matrix
T2 - IEICE TRANSACTIONS on Communications
SP - 280
EP - 287
AU - Hyunwook YANG
AU - Gyuyoung LEE
AU - Seungwon CHOI
PY - 2015
DO - 10.1587/transcom.E98.B.280
JO - IEICE TRANSACTIONS on Communications
SN - 1745-1345
VL - E98-B
IS - 2
JA - IEICE TRANSACTIONS on Communications
Y1 - February 2015
AB - When Zero-Forcing (ZF) is adopted as a detector, decreasing the condition number of the channel matrix increases the BER performance. In this paper, we propose a new detection algorithm which reduces the condition number of channel matrix down to nearly 2 on average. Since the least singular value of the channel matrix is a major factor determining the condition number, we, first, project the received signal into a space spanned by singular vectors that are orthogonal to the one corresponding to the least singular value. Then, LR decomposition is performed to reduce further the condition number of the projected channel matrix. Computer simulations show that the performance of the proposed algorithm is comparable to that of the ML detector for both correlated and uncorrelated channels. And also the proposed algorithm provides an at least 2dB improvement compared to the conventional LR-based Ordered Successive Interference Cancellation (LR-OSIC) detector with a Bit Error Rate (BER) of 10^-3 and a comparable computation load.
ER -