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A Low-Complexity Parallel Two-Sided Jacobi Complex SVD Algorithm and Architecture for MIMO Beamforming Systems

  • Weihua Ding
  • Jiangpeng Li
  • Guanghui He
  • Jun Ma
Part of the Communications in Computer and Information Science book series (CCIS, volume 337)

Abstract

Singular Value Decomposition (SVD) is a very important matrix factorization technique in engineering applications. In multiple-input multiple-output (MIMO) systems, SVD is applied in transmit beamforming which provides high diversity advantages. This paper proposes a low-complexity parallel two-sided Jacobi complex SVD algorithm and architecture which are suitable for any m ×n (m ≤ 4, n ≤ 4) matrix. It performs two 2×2 complex SVD procedures in parallel, and employs master-slave CORDIC (coordinate rotation digital computer) to reduce the decomposition time. The proposed parallel algorithm for 4×4 complex SVD saves 52% decomposition time compared with the Golub-Kahan-Reinsch algorithm. Meanwhile, the Bit Error Rate (BER) performance of the proposed algorithm is almost the same with the ideal SVD.

Keywords

MIMO Beamforming Two-sided Jacobi SVD Master-slave CORDIC 

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Copyright information

© Springer-Verlag Berlin Heidelberg 2013

Authors and Affiliations

  • Weihua Ding
    • 1
  • Jiangpeng Li
    • 1
  • Guanghui He
    • 1
  • Jun Ma
    • 1
  1. 1.School of MicroelectronicsShanghai Jiao Tong UniversityShanghaiChina

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