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引用次数: 1

摘要

最近提出了一种新的自适应方案来设计确定性包络约束滤波器,使所生成的滤波器序列收敛于最优滤波器。在这一级别上,以往的结果只将收敛性与最优滤波器的一个邻域内联系起来。基于自适应格式,在随机环境下,建立了自适应EC滤波器分别对固定步长和递减步长在均方意义和概率1收敛于无噪声最优滤波器的两个新定理。研究了脉冲压缩巴克编码信号的数值算例,以解决EC滤波问题。
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Adaptive envelope-constrained filter design
A new type of adaptive scheme was proposed recently for designing a deterministic envelope-constrained (EC) filter such that the generated sequence of filters converges to the optimum filter. Previous results at this level of generality linked convergence only to within a neighborhood of the optimum filter. Based on the adaptive scheme, two new theorems are established in a stochastic environment for which the adaptive EC filter converges in mean square sense and with probability one to the noiseless optimum filter for a fixed step-size and a decreasing sequence of step-sizes, respectively. Numerical examples involving pulse compression Barker-coded signal are studied for solving the EC filtering problem.
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