Common Waveform Analysis: A New And Practical Generalization of Fourier Analysis

  • Authors:
  • Yuchuan Wei;Qishan Zhang

  • Affiliations:
  • -;-

  • Venue:
  • Common Waveform Analysis: A New And Practical Generalization of Fourier Analysis
  • Year:
  • 2012

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Abstract

Common Waveform Analysis, which will be of interest to both electrical engineers and mathematicians, applies the classic Fourier analysis to common waveforms. The following questions are answered: Can a signal be considered a superposition of common waveforms with different frequencies? How can a signal be decomposed into a series of common waveforms? How can a signal best be approximated using finite common waveforms? How can a combination of common waveforms that equals a given signal at N uniform points be found? Can common waveforms be used in techniques that have traditionally been based on sine-cosine functions? Common Waveform Analysis represents the most advanced research available to research scientists and scholars working in fields related to the area.