谱估计中最佳高分辨率窗函数的逼近算法与实现

研究了用勒让德展开式逼近谱估计中最佳高分辨率窗函数的实现方法，讨论了逼近最佳窗的性能，给出了计算机模拟结果。理论分析和模拟结果表明，在保持数据长度、谱估计方差比和窗函数频谱最大旁瓣值相同的条件下，用本文提出的逼近算法实现的最佳窗的频谱主瓣宽度更窄，从而使得在采用这种窗函数后，所得到的谱估计分辨率较其他窗函数有进一步的改善。

Implementation of optimal high-resolution window in spectral estimation

The implementation of the optimal high-resolution window in spectral estimation using the Legendre functions is considered and the performance of this window compared with other win- dows used is discussed. Next,results of computer simulation are given.Theoretical analysis and simulation results show that under the same conditions, the optimal window function which is approximated by using the proposed method is superior to other window fuctions.