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

ISBN-13: 9781461370529 / Angielski / Miękka / 2012 / 157 str.

Yuchuan Wei;Qishan Zhang

Opis

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.

Recenzje

From the reviews:

"In the book ... Wei and Zhang have selected and presented the analysis of square, triangular, and trapezoidal waves with sufficient details and the related mathematical theories behind the subjects. ... the work is impressive in a mathematical sense. ... Square, triangular, and trapezoidal waveform analysis can be useful in many practical engineering and scientific environments, and this 160-page work is a good reference source for such a specific area." (Nihal Kularatna, IEEE Circuits & Devices Magazine, Vol. 21 (2), 2005)

Spis treści

1. ABC of Number Theory. 2. Square Wave Analysis. 3. Triangular Wave Analysis and Trapezoidal Wave Analysis. 4. Frequency Analysis Based on General Periodic Functions. 5. Main Relations and Basic Techniques.