光学学报, 1996, 16 (12): 1767, 网络出版: 2006-12-04
相位移法中的量化误差效应
Effect of Quantization Error on the Computed Phase of Phase Shifting Measurement
摘要
对相位移测量技术中的条纹强度量化所引起的相位误差进行了定量研究。给出了相位测量误差与条纹强度误差之间的统计关系式,对条纹强度量化误差进行傅里叶级数展开,并利用条纹强度与相位的关系求得该级数的系数,进而得到标准N幅算法的相位的解析表达式。最后对强度量化误差效应的一些影响因素进行了讨论。
Abstract
The effect of the quantization of the fringe intensity on the phase error in phase shifting measurement is formulated. An expression of the statistical relationship between the measured phase error and the fringe intensity error is presented. The expansion of the intensity error in Fourier series allows to obtain an analytic expression for the variance of the phase given by a standard N sample algorithm. A numerical simulation is performed, and its result is in good agreement with the analytic one. Several factors influencing the quantization effects are discussed.
赵兵, 郭彬, 方如华, Yves Surrel. 相位移法中的量化误差效应[J]. 光学学报, 1996, 16(12): 1767. 赵兵, 郭彬, 方如华, Yves Surrel. Effect of Quantization Error on the Computed Phase of Phase Shifting Measurement[J]. Acta Optica Sinica, 1996, 16(12): 1767.