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

✍ Scribed by Y. Wei, Q. Zhang (auth.)

• Publisher: Springer US
• Year: 2000
• Tongue: English
• Leaves: 165
• Series: The International Series on Asian Studies in Computer and Information Science 9
• Edition: 1
• Category: Library

✦ Synopsis

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.

✦ Table of Contents

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

✦ Subjects

Signal, Image and Speech Processing; Electrical Engineering