Common Waveform Analysis

This text 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?; and can common waveforms be used in techniques that have traditionally been based on sine-cosine functions?