標題: A UNIFIED SQUARE-ROOT-FREE APPROACH FOR QRD-BASED RECURSIVE LEAST-SQUARES ESTIMATION
作者: HSIEH, SF
LIU, KJR
YAO, K
電信工程研究所
Institute of Communications Engineering
公開日期: 1-Mar-1993
摘要: Givens rotation is the most commonly used method in performing the QR decomposition (QRD) updating. The generic formula for these rotations requires explicit square-root (sqrt) computations which constitute a computational bottleneck and are quite undesirable from the practical VLSI circuit design point of view. So far, there has been more than ten known sqrt-free algorithms. In this correspondence, we provide a unified systematic approach for the sqrt-free Givens rotation. By properly choosing two parameters, mu and nu, all previously known sqrt-free, as well as new methods, are included in our unified approach. This unified treatment is also extended to the QRD-based recursive least squares (RLS) problem for optimum residual acquisition without sqrt operations.
URI: http://dx.doi.org/10.1109/78.205742
http://hdl.handle.net/11536/3093
ISSN: 1053-587X
DOI: 10.1109/78.205742
期刊: IEEE TRANSACTIONS ON SIGNAL PROCESSING
Volume: 41
Issue: 3
起始頁: 1405
結束頁: 1409
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  1. A1993KU54500033.pdf