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盲目反卷积光谱图超分辨复原算法

Blind Deconvolution Algorithm for Spectrogram Super-Resolution Restoration

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【作者】 杨怀栋徐立陈科新黄星月何庆声谭峭峰金国藩

【Author】 YANG Huai-dong,XU Li,CHEN Ke-xin,HUANG Xing-yue,HE Qing-sheng,TAN Qiao-feng,JIN Guo-fanState Key Laboratory of Precision Measurement Technology and Instruments,Tsinghua University,Beijing 100084,China

【机构】 清华大学精密测试技术与仪器国家重点实验室清华大学精密测试技术与仪器国家重点实验室 北京100084北京100084

【摘要】 反卷积是实现光谱图超分辨复原的重要手段,与常规反卷积相比,盲目反卷积具有不需要预先准确获取卷积核函数的优势。着眼于充分利用光谱信号的特点和已有的光谱图反卷积成果,详细讨论了空域迭代盲目反卷积方法用于光谱图反卷积时的算法实现问题,并在分析光谱图卷积退化过程的基础上,针对光谱图反卷积算法特点,提出了光谱图卷积退化简化计算模型和最小二乘高斯拟合模型,以解决算法中相应的计算问题。基于Matlab平台的仿真表明,对于所用的高斯型谱线和点扩散函数,空域迭代盲目反卷积算法效果良好,在信噪比为50 dB时,分辨率提高约30%。

【Abstract】 Deconvolution is an important way to realize spectrogram super-resolution restoration.Blind deconvolution is superior to the traditional one in that it does not need a well prepared convolution core.Taking advantages of the features of spectrogram and the existing achievements of spectrogram deconvolution,the authors bring forward a scheme to adapt the space domain iterative blind deconvolution method to spectroscopy application.Moreover,after probing into the spectrogram degradation described by convolution,computational models for spectrum convolution and Gauss fitting are worked out to meet the requirements of blind deconvolution algorithm.Accompanying results are simulations with MATLAB7.0.They shows that for the given spectrum and point spread function of Gauss type the blind deconvolution algorithm works well and a resolution enhancement of 30% can be achieved under a signal-to-noise ratio of 50 dB.

【关键词】 光谱超分辨盲目反卷积
【Key words】 SpectroscopySuper-resolutionBlind deconvolution
【基金】 国家自然科学基金项目(60378016,60578002);教育部科学技术研究重点项目(106014)资助
  • 【文献出处】 光谱学与光谱分析 ,Spectroscopy and Spectral Analysis , 编辑部邮箱 ,2007年07期
  • 【分类号】TP391.41
  • 【被引频次】15
  • 【下载频次】705
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