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A Detection Algorithm to Reduce the Condition Number of the Channel Matrix
Hyunwook YANG Gyuyoung LEE Seungwon CHOI
Publication
IEICE TRANSACTIONS on Communications
Vol.E98B
No.2
pp.280287 Publication Date: 2015/02/01
Online ISSN: 17451345 Type of Manuscript: PAPER Category: Fundamental Theories for Communications Keyword: condition number, projection, lattice reduction, ZeroForcing,
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Summary:
When ZeroForcing (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 LRbased Ordered Successive Interference Cancellation (LROSIC) detector with a Bit Error Rate (BER) of 10^{3} and a comparable computation load.

