一種頻域卷積反演的新方法
A NEW METHOD OF DECONVOLUTION IN THE FREQUENCY DOMAIN
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摘要: 本文提出了一種卷積反演的新方法。這種方法也是通過離散傅里葉變換(DFT)在頻域?qū)崿F(xiàn)的,但是避免了通常所用的離散傅里葉變換方法當(dāng)位于分母位置的信號頻譜有零點(diǎn)存在時(shí)計(jì)算失效的問題。本文討論了新方法與普通離散傅里葉變換方法之間的關(guān)系,并且給出了計(jì)算示例。
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關(guān)鍵詞:
- 信號處理; 卷積反演; 信號恢復(fù)
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.電子學(xué)報(bào),1985, 13(4): 8- 13. -
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