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Symmetrical Normalization of Autocorrelation Function for Multi-Tau Photon Correlator

机译:多Tau光子相关器自相关函数的对称归一化

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Abstract: In view of using symmetrical normalization for smaller deviation than standard normalization for the multi-tau photon correlator in the whole delay time range but need more monitor channels. We suggest employing symmetrical normalization when the lag time larger than 16384 and standard normalization smaller than 16384. Deviation of symmetrical normalization and standard normalization was analyzed, results show that the deviation of symmetrical normalization is smaller in large lag time and have approximate deviation in small lag time. Measurements with standard polystyrene particles of 60 nm, 150 nm and 450 nm, the calculated average deviation and maximum deviation of two normalization estimators are similar in small lag time, but the average and maximum deviation of standard normalization are 19 to 37 times and 35 to 59 times larger than symmetrical in large time. We adopt nonnegative Tikhonov investigate inversion for 60 nm, 150 nm and 450 nm, the results suggest that the particles size distribution of symmetrical normalization is approach to the true particles size distribution in large lag time. Hence, employing symmetrical normalization in the appropriate dynamic range not only reduce the monitor channel, but also improve the statistical accuracy in large delay time range.
机译:摘要:鉴于使用对称偏差的对称偏差而不是在整个延迟时间范围内的多Tau光子相关器的标准归一化,但需要更多的监控通道。我们建议在大于16384的滞后时间和小于16384的标准归一化时采用对称归一化。分析了对称归一化和标准归一化的偏差,结果表明对称归一化的偏差在大的滞后时间较小,并且小滞后的差异近似偏差时间。测量标准聚苯乙烯颗粒60nm,150nm和450nm,计算的平均偏差和两个归一化估计的最大偏差在小滞后时间相似,但标准归一化的平均值和最大偏差为19至37次,35次大于对称大的59倍。我们采用非负Tikhonov调查60nm,150nm和450nm的反转,结果表明对称归一化的粒子尺寸分布是在大型滞后时间的真实粒子尺寸分布的方法。因此,在适当的动态范围内采用对称归一化不仅可以减少监视器通道,而且还提高了大延迟时间范围内的统计精度。

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