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自适应波束成形中最优解在时域和频域中的等价关系

THE EQUIVALENT RELATION OF OPTIMUM SOLUTION BETWEEN TIME-DOMAIN AND FREQUENCY-DOMAIN IN ADAPTIVE BEAMFORMING

  • 摘要: 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。

     

    Abstract: Under the criteria of Wiener's least mean square error, the optimum solution of frequency-domain is given. If we consider the Widrow's tapped daley line as a transversal 'filter, it can approximate the optimum transfer function with required accurancy.
    Under certain conditions, the optimum weight cofficients of time-domain just equal the coefficients of Fourier expansion of optimum transfer function.
    two different proofs for those are given.
    In the-end, some practical examples applying the results to be described in this paper are shown.

     

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