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: | 1-三月-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 |
顯示於類別: | 期刊論文 |