加窗后波前功率谱密度的计算值修正
Modification of power spectrum density of wavefront after applying window
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摘要: 波前功率谱密度的数值计算会由于窗函数的使用引入较大的计算误差。通过对模拟的单一频率波前加窗前后的功率谱密度的理论计算，由傅里叶变换性质推导出了修正因子，并对波前频率与修正因子的关系进行了理论研究。结果表明，在一定的波前频率及误差范围内，对加汉宁窗后1维功率谱密度的计算结果乘上一个常量8/3即可实现简单有效地修正。Abstract: Big error would be introduced in numerical computation of power spectrum density(PSD) because of the use of the weighted window function. Using simulated single-frequency wavefront, PSD values before and after applying Hanning window were computed and a modification factor was deduced using theory of Fourier transform. Relationship between wavefront frequency and modification factor was analyzed by theoretical computation. It shows that under certain measurement errors and certain frequency scope, a constant, 8/3 or 64/9 is effective to modify one-dimensional or two-dimensional PSD value after applying Hanning window.
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