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基于加权滤波的低信噪比LAMOST光纤光谱信号降噪

Using Weighted Filtering to Denoise Low-SNR Spectra Observed through the LAMOST Fiber Optics

  • 摘要: 针对低信噪比条件下光谱抽取精度较低的问题, 对输入二维光谱图像进行预处理, 提出了一种在Wigner 时频域加权滤波的方法进行光纤光谱信号降噪, 改善低信噪比的光谱数据质量。针对传统低通滤波不能滤除通带内混叠噪声的缺陷, 采用Wigner 变换获取光谱信号高集中度的时频分布。先构建带通滤波器滤除较分散的明显噪声分量, 再针对通带部分设计加权滤波器, 根据信号的先验信噪比进行非线性处理, 最后利用Wigner 变换的边缘特性重构有效信号。实验部分采用大天区面积多目标光纤光谱望远镜(the Large Sky Area Multi-ObjectFiber Spectroscopic Telescope, LAMOST)系统的仿真和实测数据验证算法的有效性。

     

    Abstract: In observations with the LAMOST (the Large Sky Area Multi-Object Fiber Spectroscopy Telescope) observed two-dimensional spectral images of low signal-to-noise ratios (SNR) need to be preprocessed to ensure sufficient accuracies of the spectra extracted from the images.In this paper, we propose an improved method for denoising spectral images observed through the LAMOST fiber optics.Our method is based on weighted filtering in the frequency domain of the Wigner transformation.Considering that a conventional low-bandpass filter cannot filter out aliasing noise, we design our method to use the Wigner transformation to obtain spectral profiles of fluxes highly concentrated in the frequency domain.The method first removes appreciable dispersed noise components by a specially constructed bandpass filter, then applies a weighted filter to nonlinearly process the signals in the bandpass based on a priori SNR data.The method finally uses the boundary features of the Wigner transformation to effectively reconstruct signals.We present experiments of applying the improved method to simulated and observed LAMOST data.Our experiments demonstrate the effectiveness of the improved method.

     

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