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讨论和推导了在设计模型不能精确地与真实模型相符情况下，最优滤波与平滑反卷积的频域特性，为自适应及鲁棒估计与平滑中模型的检验、模型误差的确定等提供了一种频域方法．文中还给出一种计算最优平滑反卷积的快速数值算法．
The frequency domain characteristics of optimal filtering and smoothing deconvolution are discussed and deduced in the case that the design model can not exactly match with the real model. The adaptive algorithm, the test of robust estimation and smoothing model, the determination of model error and so on are provided A frequency domain method. A fast numerical algorithm for calculating the optimal smoothing deconvolution is also given in this paper.