Fractional Processes and Fractional-Order Signal Processing Techniques and Applications /

• Main Authors: Sheng, Hu (Author), Chen, YangQuan (Author), Qiu, TianShuang (Author)
• Corporate Author: SpringerLink (Online service)
• Format: Electronic eBook
• Language: English
• Published: London : Springer London, 2012.
• Series: Signals and Communication Technology,
• Subjects: Engineering.; Image processing.; Information theory.; Signal, Image and Speech Processing.; Image Processing and Computer Vision.; Information and Communication, Circuits.

Fractional processes are widely found in science, technology and engineering systems. In Fractional Processes and Fractional-order Signal Processing, some complex random signals, characterized by the presence of a heavy-tailed distribution or non-negligible dependence between distant observations (l...

Table of Contents:

• Part I: Overview of Fractional Processes and Fractional-order Signal Processing
• Introduction
• Overview of Fractional Processes and Fractional-order Signal Processing
• Part II: Fractional Processes
• Constant-order Fractional Processes
• Multifractional Processes
• Part III: Fractional-order Signal Processing
• Constant-order Fractional Signal Processing
• Variable-order Fractional Signal Processing
• Distributed-order Fractional Signal Processing
• Part IV: Applications of Fractional-order Signal Processing Techniques
• FARIMA with Stable Innovations Model of Great Salt Lake Elevation
• Analysis of ECN Using Fractional Signal Processing Techniques
• Optimal Fractional-order Damping Strategies
• Heavy-tailed Distribution and Local Long Memory in Molecular Motion
• Multifractional Property Analysis of Human Sleep EEG Signals
• Conclusions
• Appendices: Mittag-Leffler Functions; Application of Numerical Inverse Laplace Transform Algorithms in Fractional-order Signal Processing; Some Useful Webpages; MATLAB® Codes of Impulse–Response Invariant Discretization of Fractional-order Filters.