一种频域卷积反演的新方法
A NEW METHOD OF DECONVOLUTION IN THE FREQUENCY DOMAIN
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摘要: 本文提出了一种卷积反演的新方法。这种方法也是通过离散傅里叶变换(DFT)在频域实现的,但是避免了通常所用的离散傅里叶变换方法当位于分母位置的信号频谱有零点存在时计算失效的问题。本文讨论了新方法与普通离散傅里叶变换方法之间的关系,并且给出了计算示例。
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关键词:
- 信号处理; 卷积反演; 信号恢复
Abstract: A new method of deconvolution in the frequency domain is proposed. The relationship between the proposed method and traditional Discrete Fourier Transform(DFT) method is also discussed. It can be seen from this paper that the new method based on the DFT techniques can overcomes the difficulties of using traditional frequency methods to do deconvolution, and the deconvolution problem can always be solved with the new method because three are only DFT, IDFT and multiplication calculations. An example is also presented to illustrated the calculation of the method. -
Oppenheim A V, et al. Discrete Time Signal Pror_essiug. Euglewuod l.;hiffs, NJ: Prentice-Hall, Inc. 1989, chapter 8.[2]Sarkar T K, et al. IEEE Trans. on AP, 1982, AP-30(4): 657-663.[3]Schafer R VV, et al. Proc[J].IEEE.1981, 69(4):432-450[4]孔凡年.电子学报,1985, 13(4): 8- 13. -
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