分段平滑的贝叶斯迭代法重建脉冲X射线能谱

Segment-smoothed Bayesian iterative method to reconstruct pulsed X-ray spectrum

  • 摘要: 吸收法测量脉冲X射线能谱时,测量数据的微小扰动会引起重建能谱的较大波动,甚至出现不符合物理规律的负值。针对测量数据的噪声对脉冲X射线重建能谱影响较大的问题,构建了重建能谱准确性的评估方法,分析了贝叶斯迭代法对包含不同程度噪声干扰的测量数据重建能谱的准确性。通过在贝叶斯迭代法中加入平滑约束条件的方式,降低了噪声对重建能谱的影响。根据预估待测能谱的特征,提出了以能谱峰值为界分段平滑的方法,比较了整体平滑和分段平滑方法的能谱重建效果。多次求解表明,分段平滑贝叶斯迭代法的重建能谱对噪声的敏感度显著下降。设计了基于吸收法的能谱测量系统,分别利用平滑前后的贝叶斯迭代法依据实验测量数据重建能谱,结果表明,分段平滑的贝叶斯迭代法的重建能谱更接近理论能谱,重建效果更好。

     

    Abstract: Minor discrepancies in the measurement data may lead to significant variations in the reconstructed spectrum when measuring and reconstructing the spectrum by the absorption method. In some cases, the reconstructed spectrum may contain negative values that do not conform to the physical law. To address the issue that noise in the measurement data has a significant effect on the reconstructed spectrum, the segment-smoothed Bayesian iterative method is proposed in this paper. The energy spectrum is reconstructed using the Bayesian iteration method under different levels of noise, and the accuracy and noise sensitivity of the reconstructed spectrum are evaluated. An optimization method, which adds smoothing constraints to the Bayesian iterative method, is proposed to reduce noise interference in the reconstructed spectrum. According to the spectrum characteristics, a two-coefficient segment-smoothing method is proposed with the peak value as the dividing line. The spectrum is reconstructed by segmented smoothing and global smoothing Bayesian iterative methods, respectively. The noise sensitivity of the reconstructed spectrum, unfolded by the segment-smoothed Bayesian iterative method, has been significantly reduced. An energy spectrometer based on the absorption method is developed. The spectrum is reconstructed based on the experimental data using the segment-smoothed Bayesian iterative method and the Bayesian iteration method. The spectrum reconstructed using the segment-smoothed Bayesian iterative method is more consistent with the theoretical spectrum, indicating that this method exhibits superior performance.

     

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