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连续混沌信号的离散余弦变换域二次实时滤波预测 被引量:20

A DCT domain quadratic predictor for real-time prediction of continuous chaotic signals
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摘要 提出了少参数二阶Volterra滤波器的一种离散余弦变换 (DCT)域二次滤波实现结构及其NLMS自适应算法 ,并用这种DCT域二次滤波预测器研究了三种连续混沌信号的非线性实时多步预测性能 .仿真研究结果表明 :(1)这种DCT域二次滤波预测器比少参数二阶Volterra滤波器的一步预测均方误差性能提高了 10 0倍 ,表明这种实现结构简单、易实现 ,且具有更好的收敛性能 ;(2 ) A DCT domain quadratic predictor with normalized least mean square (NLMS) algorithm, efficient implementing structure of the reduced parameter second-order Vloterra filter (RPSOVF), is proposed to investigate nonlinear real-time multi-step prediction performance of three kinds of continuous chaotic signals. Experimental results show that the real-time ahead one-step prediction mean square errors of the DCT domain quadratic predictor proposed in this paper are at least 100 times smaller than that of RPSOVF, which indicates that this predictor has better predictive performance, its structure is simple and easy to implement. Multi-step prediction performance of this DCT domain quadratic predictor to three continuous chaotic time series is superior to the one of local prediction method obviously, and its mean square errors do not increase exponentially according as the prediction step.
出处 《物理学报》 SCIE EI CAS CSCD 北大核心 2004年第3期710-716,共7页 Acta Physica Sinica
基金 国家自然科学基金 (批准号 :60 2 72 0 96) 国家部级"十五"计划项目 (批准号 :4110 40 10 10 1) 西南交通大学基础研究基金 (批准号 :2 0 0 1B0 8)资助的课题~~
关键词 混沌 实时预测 Voherra滤波器 离散余弦变换 NLMS自适应算法 收敛性能 chaos, real time prediction, NLMS adaptive algorithms
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参考文献11

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