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Common Waveform Analysis
A New And Practical Generalization of Fourier Analysis
Qishan Zhang , Yuchuan Wei
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?
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