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ZHUO Zepeng, CHONG Jinfeng, CAO Hao, XIAO Guozhen. Spectral Analysis of Two Boolean Functions and Their Derivatives[J]. Chinese Journal of Electronics, 2011, 20(4): 747-749.
Citation: ZHUO Zepeng, CHONG Jinfeng, CAO Hao, XIAO Guozhen. Spectral Analysis of Two Boolean Functions and Their Derivatives[J]. Chinese Journal of Electronics, 2011, 20(4): 747-749.
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Spectral Analysis of Two Boolean Functions and Their Derivatives

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  • Received Date: September 30, 2010
  • Revised Date: February 28, 2011
  • Published Date: October 24, 2011
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    • Abstract
  • The relationship between the spectrums of two arbitrary Boolean functions and the spectrum of their derivatives is presented by using Convolution Theorem. Also, we deduce the relationship between the Walsh spectrums and the decompositions of two arbitrary Boolean functions in this paper. Based on them, we generalize some properties between the Walsh spectrum and the crosscorrelation function.
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