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Hardware-Oriented Algorithm for Quaternion-Valued Matrix Decomposition

delete2011-04-01
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PRE
AI
E
Evgueni Doukhnitch *
E
Emre Özen
DOI:10.1109/TCSII.2011.2111590delete
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摘要

摘要

En 中文
In this brief, a generalized form for 2-, 4-, and 8-D coordinate rotation digital computer (CORDIC) rotation matrices is suggested, and a novel highly parallel efficient hardware-oriented 8-D octonion CORDIC algorithm for quaternion-valued matrix decomposition is designed and presented. Furthermore, a successful sequence of iterations with guaranteed convergence is determined, and the hardware implementation of this algorithm is considered. Such a processor can be utilized to speed up the Givens rotations and computing the QR and singular-value decomposition processes of a quaternion matrix in a digital signal processor.
Keyword:
Givens rotations
processor arrays
QR decomposition and singular-value decomposition (SVD)
quaternion matrix
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期刊

I
IEEE Transactions on Circuits and Systems and Express Briefs
IF:
4.9
论文数:
8.8K
被引数:
2.5W

机构

E
Eastern Mediterranean University
学者数:
1.7K
论文数: 1.8K
被引数: 2.0K
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