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Efficient least-squares lattice algorithms based on Givens rotation with systolic array implementations

机译:基于Givens旋转和脉动阵列实现的高效最小二乘格子算法

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LS (least squares) lattice algorithms based on Givens rotation, called Givens-lattice algorithms, are presented. They are derived by exploiting the relationship between the Givens algorithms and the RMGS (recursive modified Gram-Schmidt) algorithm. It is shown that the Givens-lattice algorithms are suitable for LS estimation of time-series signals and are computationally more efficient than the recently derived fast QR algorithm for the same purpose. Systolic array implementation of Givens-lattice algorithms using the same basic processing cells in the systolic arrays for the original Givens algorithm is discussed. Computer simulation results are given.
机译:提出了基于Givens旋转的LS(最小二乘)晶格算法,称为Givens-lattice算法。它们是通过利用Givens算法和RMGS(递归修改的Gram-Schmidt)算法之间的关系得出的。结果表明,对于相同的目的,Givens晶格算法适用于时间序列信号的LS估计,并且在计算上比最近导出的快速QR算法更有效。讨论了Givens-lattice算法的脉动阵列实现,该过程使用与原始Givens算法相同的脉动阵列中的基本处理单元。给出了计算机仿真结果。

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