反卷积定理——有零点的频谱的反卷积解法  

Deconvolution Theorem

作　　者：罗平安[1] 缪常[2] 

机构地区：[1]防化研究院,北京1044信箱200102205 [2]防化指挥工程学院第10教研室,北京102205

出　　处：《核电子学与探测技术》1999年第6期454-459,共6页Nuclear Electronics & Detection Technology

摘　　要：介绍了最近发现的反卷积定理，并在理论上证明了该定理。该定理特别适合在含有零点的频谱中求解反卷积。该定理与卷积定理配合，在一般系统中，只要已知输入函数ｘ（ｔ）、系统函数ｈ（ｔ）及输出函数ｙ（ｔ）中的任意两个，便可求得第三个函数。反卷积定理在应用数学、实验物理、信号分析系统和许多工程应用领域具有非常重要的价值。This paper introduces the deconvolution theorem which was studied recently by the authors and proves its theoretical correctness. The theorem is very suitable to resolve the kind of deconvolution which includes one or many zeroes in the frequency domain. In general system, if two of inputting function , system function and outputting function are known, the other may be known certainly according to the deconvolution theorem and the convolution theorem. The theorem is of great importance to applied mathematics, experimental physics, signal analytical systems and some engineering applications.

关 键 词：反卷积 反卷积定理 付里叶变换 FFT 频谱 反卷积解法 

分 类 号：O174.2[理学—数学] TN911.7[理学—基础数学]