Constrained estimation for calibration of Stokes polarimeter in the presence of different noise
首发时间:2017-01-25
Abstract:During the calibration of a Stokes polarimeter, the noisy measurement data will degrade the accuracy of the estimated system matrix. In this paper, by taking into account the physical constraints in terms of radiometric calibration and system response, two constrained estimation methods are proposed to improve the calibration accuracy in the presence of signal-independent additive Gaussian noise, signal-dependent Poisson shot noise, or their combination. Both the numerical and experimental results show that the proposed constrained Maximum-likelihood (ML) estimation has the best accuracy, especially when the noisy measurement data have low signal-to-noise ratio, and the proposed constrained Least-Square (CLS) estimation is more effective than the conventional unconstrained Least-Square (ULS) estimation. The proposed estimation methods are useful for the calibration of the Stokes polarimeter with high accuracy.
keywords: polarimetry Stokes parameter calibration Gaussian noise Poission noise
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斯托克斯偏振仪免疫噪声的受限估计定标方法
摘要:在斯托克斯偏振仪的定标过程中,被噪声污染的测量强度会降低所估计系统矩阵的精度。在本文中,通过考虑辐射强度定标的物理限制以及系统响应,提出了两种受限估计方法用于提高定标精度,在出现高斯噪声、泊松噪声、或者两种噪声组合的情况下。数值模拟与实验结果均表明,所提出的受限最大似然估计具有最好的精度,尤其是当测量数据具有低信噪比的情况。此外,所提出的受限最小二乘估计法比传统的非受限最小二乘估计法更加有效。本文所提出的两种受限估计方法对高精度斯托克斯偏振仪系统矩阵的定标具有重要的参考价值。
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No.4717725118087814****
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