Common Waveform Analysis: A New And Practical Generalization of Fourier Analysis (The International Series on Asian Studies in Computer and Information Science, 9)

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. __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. Front Matter....Pages i-xi ABC of Number Theory....Pages 1-11 Square Wave Analysis....Pages 13-40 Triangular Wave Analysis and Trapezoidal Wave Analysis....Pages 41-73 Frequency Analysis Based on General Periodic Functionds....Pages 75-112 Main Relations and Basic Techniques....Pages 113-154 Back Matter....Pages 155-157