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用窗口卷积实现反卷积的算法研究
Study on an Algorithm of Deconvolution Via Window Convolution
【摘要】 本文提出了一种用窗口卷积实现反卷积的新算法,这种算法解决了用圆周卷积计算反卷积时出现的病态问题.对用圆周卷积、线性卷积和窗口卷积实现反卷积三种方法进行误差、计算量与存储空间的分析和对比.结果表明,用窗口卷积实现反卷积运算的误差、计算量和存储空间都是最小的.
【Abstract】 A new algorithm of deconvolution via window convolution operation is proposed,and the algorithm can solve the ill-posed problem occurring in deconvolution via circular convolution.In addition,the estimation error,the calculating amounts and the occupied memory of the three algorithms of deconvolution that include circular convolution,linear convolution and window convolution are also discussed and compared.The results show that factors of the new algorithm are the smallest.
【关键词】 窗口卷积;
卷积;
反卷积;
误差;
病态问题;
【Key words】 window convolution; convolution; deconvolution; error; ill-posed problem;
【Key words】 window convolution; convolution; deconvolution; error; ill-posed problem;
- 【文献出处】 电子学报 ,Acta Electronica Sinica , 编辑部邮箱 ,2005年08期
- 【分类号】TN911.72
- 【被引频次】3
- 【下载频次】447