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无平方根定标Givens旋转算法脉动阵实现的有限字长分析

熊军 廖桂生 吴顺君

熊军, 廖桂生, 吴顺君. 无平方根定标Givens旋转算法脉动阵实现的有限字长分析[J]. 电子与信息学报, 1997, 19(2): 166-172.
引用本文: 熊军, 廖桂生, 吴顺君. 无平方根定标Givens旋转算法脉动阵实现的有限字长分析[J]. 电子与信息学报, 1997, 19(2): 166-172.
Xiong Jun, Liao Guisheng, Wu Shunjun. FINITE WORDLENGTH ANALYSIS FOR RLS SYSTOLIC ALGORITHM BASED ON THE SQUARE ROOT FREE SCALED GIVENS ROTATIONS[J]. Journal of Electronics & Information Technology, 1997, 19(2): 166-172.
Citation: Xiong Jun, Liao Guisheng, Wu Shunjun. FINITE WORDLENGTH ANALYSIS FOR RLS SYSTOLIC ALGORITHM BASED ON THE SQUARE ROOT FREE SCALED GIVENS ROTATIONS[J]. Journal of Electronics & Information Technology, 1997, 19(2): 166-172.

无平方根定标Givens旋转算法脉动阵实现的有限字长分析

FINITE WORDLENGTH ANALYSIS FOR RLS SYSTOLIC ALGORITHM BASED ON THE SQUARE ROOT FREE SCALED GIVENS ROTATIONS

  • 摘要: 最小二乘(LS)是许多实时自适应信号处理问题的核心。本文针对无平方根的定标Givens旋转方法,分析了用脉动(Systolic)阵实现时各处理单元和内部传递参数的动态范围,并确定了保证算法正确实现所需的字长下界。计算机仿真结果表明,这样选取字长是合适的,所得的算法也是稳定的。
  • McWhirter J G. Recursive least-squares minimization using a systolic array, Proc. of SPIE, Vo1.431,[2]Real Time Signal Processing VI, 1983, 105-112.[3]Heish S F, Liu K J R, Yao K. A unified square-root-free approach for QRD-based recursive least squares estimation. IEEE Trans. on SP., 1993, SP-41(3): 1405-1409.[4]Barlow J L, Ipsen I C F. Scaled Givens rotations for the solution of linear least squares problems on systolic arrays[J].SIAM J. Sci Stat. Comput.1987, 8(5):716-733[5]Proudler I K, McWhirter J G, Shepherd T J. The IaRD-based least squares lattice algorithm: Some computer simulations using finite wordlength, Proc. IEEE ISCAS, New Orleans: May 1990, 258-261.[6]Liu K J R, Heish S F, Yao K, et al. Dynamic range, stability and fault-tolerant capability of finite-[7]precision RLS Systolic array based on Givens rotations. IEEE Trans. on Cir. Sys,1991, CAS-38(6): 625-636.[8]Frantzeslmkis E N, Liu K J R. A cla9s of square root and division free algorithms and architetures for QRD-based adaptive singnal processing. IEEE Trans. on SP., 1994, SP-42(9): 2455-2469.
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出版历程
  • 收稿日期:  1995-06-14
  • 修回日期:  1995-12-17
  • 刊出日期:  1997-03-19

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