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在Wiener的最小均方差准则下,给出频域上最佳滤波器的解。证明了,当把widrow的抽头延迟线看作横向滤波器时,可以用任意精确度逼近频域上的最优解。在某种条件下,时域上最优解的加权系数就是频域上最优传输函数的Fourier展开式的系数。给出这种等价关系的一般表达式和两种不同的证明。最后给出把这些结果用于实际声呐设计的若干例子。
Under the Wiener minimum mean square error criterion, the solution of the best filter in the frequency domain is given. It is proved that the optimal solution on the frequency domain can be approximated with arbitrary accuracy when the tap delay line of widrow is considered as a transversal filter. Under some conditions, the weight coefficient of the optimal solution in the time domain is the Fourier expansion coefficient of the optimal transfer function in the frequency domain. Give the general expression of this equivalence relation and two different proofs. Finally, some examples of using these results for actual sonar designs are given.