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Class of Square Root and Division Free Algorithms and Architectures for QRD-Based Adaptive Signal Processing.

机译：基于QRD的自适应信号处理的平方根类和无划分算法及体系结构。

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摘要

The least squares (LS) minimization problem constitutes the core of many real-time signal processing problems, such as adaptive filtering, system identification and adaptive beamforming. Recently efficient implementations of the recursive least squares (RLS) algorithm and the constrained recursive least squares (CRLS) algorithm based on the numerically stable QR decomposition (QRD) have been of great interest. Several papers have proposed modifications to the rotation algorithm that circumvent the square root operations and minimize the number of divisions that are involved in the Givens rotation. It has also been shown that all the known square root free algorithms are instances of one parametric algorithm. Recently, a square root free and division free algorithm has been proposed.

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作者
Frantzeskakis, E. N.; Liu, J. J.;
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年度 1993
页码 1-35
总页数 35
原文格式 PDF
正文语种 eng
中图分类工业技术;
关键词
Algorithms; Signal processing; Beam forming; Parametric analysis; Real time; Adaptive filters; Decomposition; Square roots; Rotation; Adaptive systems; Identification; Recursive functions; Least squares method;

机译：算法;信号处理;波束形成;参数分析;实时;自适应滤波器;分解;平方根;旋转;自适应系统;识别;递归函数;最小二乘法;

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专利

1. A class of square root and division free algorithms and architectures for QRD-based adaptive signal processing [J] . Frantzeskakis E.N., Liu K.J.R. IEEE Transactions on Signal Processing . 1994,第9期

机译：基于QRD的自适应信号处理的一类平方根和无除法算法和体系结构
2. A novel low-power shared division and square-root architecture using the GST algorithm [J] . Kuhlmann M., Parhi KK. VLSI Design . 2001,第3期

机译：使用GST算法的新型低功耗共享除法和平方根架构
3. A Novel Low-power Shared Division and Square-root Architecture Using the GST Algorithm [J] . MartinKuhlmann, Keshab K.Parhi VLSI Design . 2001,第3期

机译：使用GST算法的新型低功耗共享除法和平方根架构
4. Qrd-based Square Root Free And Division Free Algorithms And Architectures [C] . Liu, K.J.R., Frantzeskakis, . 2001

机译：基于Qrd的平方根和除法算法和体系结构
5. Algorithms and architectures for adaptive least squares signal processing, with applications in magnetoencephalography [D] . Lewis, Paul Steven. 1988

机译：用于自适应最小二乘信号处理的算法和架构，具有磁性脑图的应用
6. Adaptive Square-Root Unscented Particle Filtering Algorithm for Dynamic Navigation [O] . Wenhui Wei, Shesheng Gao, Yongmin Zhong, 2018

机译：动态导航的自适应平方根无味粒子滤波算法
7. A class of square root and division free algorithms and architectures for QRD-based adaptive signal processing [O] . E. N. Frantzeskakis, K. J. R. Liu, Senior Member 1994

机译：基于QRD的自适应信号处理的一类平方根和无除法算法和体系结构

Class of Square Root and Division Free Algorithms and Architectures for QRD-Based Adaptive Signal Processing.

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