基于窗函数的离散谱校正方法

三角形谱校正方法是一种近似方法,在没有噪声或输入信噪比非常高的情况下,三角形法的校正频率无法收敛到真值。该文从窗函数的数学定义出发,给出了一种基于窗函数的离散谱校正方法——代数法,并推导出几种常用窗的离散谱校正公式。该方法具有非常高的频率校正精度,同时又具有三角形法运算量小、受噪声影响小的特点。最后仿真试验验证了该算法的有效性。

Discrete Spectrum Correcting Method Based on Window Function

The triangle is an approximate spectrum correcting method. Its correcting frequency can not converge to the true values under very high SNR or no noise. Then the paper presents a discrete spectrum correcting method Algebra method, from the mathematical definition of window function, and deduced to several discrete spectrum correcting formulas of common win- dow. The new method not only has an extraordinary high frequency correcting accuracy, but has the characteristics of low computational cost and little noise influence. Finally, simulation results verify the validity of the method.