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
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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。Abstract: The least squares(LS) minimization problem constitutes the core of many real-time signal processing problems. A square root free scaled Givens rotations algorithm and its systolic architecture for the optimal RLS residual evaluation are presented in this paper. Upper bounds of the dynamic range of processing cells and the internal parameters are analyzed. Thus the wordlength can be obtained to prevent overflow and to ensure correct operations. Simulation results confirm the theoretical conclusions and the stability of the algorithm.
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