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Super-resolution spectral reconstruction based on minimum variance frequency estimation and linear fitting

机译：基于最小方差频率估计和线性拟合的超分辨率光谱重建

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摘要

Fourier transform spectroscopy based on the theory of peri-odogram or maximum entropy spectral estimation may cause spurious peaks or frequency leakage, as well as distortion of the spectral intensity reconstruction. To solve these problems, spectral reconstruction is treated as an estimation of harmonic frequency and intensity in the in-terferogram, the super-resolution spectral reconstruction method, based on minimum variance spectral estimation and linear fitting (MVLF), is developed and discussed. MVLF is composed of two steps: frequency estimation with minimum variance frequency estimation and spectral intensity reconstruction with linear fitting. For MVLF, the spectral intensity reconstruction accuracy is only related to frequency estimation accuracy. Simulation results of both discrete and continuous spectral reconstruction show that, compared with traditional super-resolution spectral reconstruction methods, MVLF is able to constrain the frequency estimation error within 0.97% and the spectral intensity reconstruction error within 3%.
机译：基于周线图或最大熵光谱估计理论的傅里叶变换光谱法可能会导致杂散峰或频率泄漏，以及光谱强度重建的失真。为解决这些问题，频谱重建被视为干涉图中的谐波频率和强度的估计，并开发并讨论了基于最小方差频谱估计和线性拟合（MVLF）的超分辨率频谱重建方法。 MVLF由两个步骤组成：具有最小方差频率估计的频率估计和具有线性拟合的频谱强度重构。对于MVLF，频谱强度重建精度仅与频率估计精度有关。离散和连续频谱重建的仿真结果表明，与传统的超分辨率频谱重建方法相比，MVLF能够将频率估计误差限制在0.97％之内并将频谱强度重建误差限制在3％之内。

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  • 来源
    《Optical engineering》 |2011年第3期|p.97-105|共9页
  • 作者

    Suning Li; Rihong Zhu; Jianxin Li;

  • 作者单位

    Nanjing University of Science and Technology School of Electronic Information and Optical Engineering Department of Optical Engineering Nanjing, Jiangsu 210094 China;

    Nanjing University of Science and Technology School of Electronic Information and Optical Engineering Department of Optical Engineering Nanjing, Jiangsu 210094 China;

    Nanjing University of Science and Technology School of Electronic Information and Optical Engineering Department of Optical Engineering Nanjing, Jiangsu 210094 China;

  • 收录信息 美国《科学引文索引》(SCI);美国《工程索引》(EI);
  • 原文格式 PDF
  • 正文语种 eng
  • 中图分类
  • 关键词

    imaging spectroscopy; spectral estimation; spectral frequency; spectral intensity; linear fitting.;

    机译：成像光谱频谱估计光谱频率;光谱强度;线性拟合。;

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