| Fourier变换光谱学的一种光谱分辨率增强方法 |
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| 引用本文： | 董瑛,相里斌,赵葆常.Fourier变换光谱学的一种光谱分辨率增强方法[J].光谱学与光谱分析,2003,23(3):441-445. |
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| 作者姓名： | 董瑛 相里斌 赵葆常 |
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| 作者单位： | 1. 清华大学精密仪器与机械学系,北京,100084
2. 中国科学院西安光机所,陕西,西安,710068 |
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| 基金项目： | 863-30 8资助项目 |
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| 摘 要： | 本文提出了一种基于特征值分析与线性拟合 (EALF)的超分辨率谱估计方法。其实质是在光谱的Fourier变换域内进行信号处理 ,以使复原谱的分辨率突破仪器函数的限制。EALF由总体最小二乘参数估计、特征值分析频率估计和最小二乘拟合振幅估计三个步骤来实现。本文将介绍EALF谱估计的原理 ,通过仿真实验验证原理的正确性 ,讨论关键技术 ,并总结EALF相对于其他Fourier变换光谱分辨率增强技术的主要优点。
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| 关 键 词： | 光谱分辨率增强 Fourier变换光谱学 谱估计 超分辨率 |
| 文章编号： | 1000-0593(2003)03-0441-05 |
| 修稿时间： | 2001年11月22 |
New Approach to Resolution Enhancement of Fourier Transform Spectrum |
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| Ying Dong,Li-bin Xiang,Bao-chang Zhao.New Approach to Resolution Enhancement of Fourier Transform Spectrum[J].Spectroscopy and Spectral Analysis,2003,23(3):441-445. |
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| Authors: | Ying Dong Li-bin Xiang Bao-chang Zhao |
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| Institution: | Department of Precision Instruments and Mechanics, Tsinghua University, Beijing 100084, China. |
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| Abstract: | Treating resolution enhancement of Fourier transform spectrum as the estimations of harmonic frequencies and amplitudes in the interferogram, the method based on eigenvalue analysis and linear fitting (EALF) was brought forward. EALF was divided into three steps: parameter estimation with total least squares, frequency estimation with eigenvalue analysis, and amplitude estimation with least squares fitting.The principle of the method was introduced. Computer experiment was presented to validate the principle. Characteristics of the method were discussed.The main advantages of EALF over alternative approaches to resolution enhancement of Fourier transform spectrum were summarized. |
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| Keywords: | Spectral resolution enhancement Fourier transform spectroscopy Spectrum estimation Super-resolution |
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