Fractional Order Signal Processing: Introductory Concepts and Applications

ISBN-13: 9783642231162 / Angielski / Miękka / 2011 / 101 str.

Saptarshi Das; Indranil Pan

Opis

The book tries to briefly introduce the diverse literatures in the field of fractional order signal processing which is becoming an emerging topic among an interdisciplinary community of researchers. This book is aimed at postgraduate and beginning level research scholars who would like to work in the field of Fractional Order Signal processing (FOSP). The readers should have preliminary knowledge about basic signal processing techniques. Prerequisite knowledge of fractional calculus is not essential and is exposited at relevant places in connection to the appropriate signal processing topics. Basic signal processing techniques like filtering, estimation, system identification, etc. in the light of fractional order calculus are presented along with relevant application areas. The readers can easily extend these concepts to varied disciplines like image or speech processing, pattern recognition, time series forecasting, financial data analysis and modeling, traffic modeling in communication channels, optics, biomedical signal processing, electrochemical applications and many more. Adequate references are provided in each category so that the researchers can delve deeper into each area and broaden their horizon of understanding. Available MATLAB tools to simulate FOSP theories are also introduced so that the readers can apply the theoretical concepts right-away and gain practical insight in the specific domain.

Recenzje

From the reviews:

"This short monograph addresses several techniques involving signals, processes, and operations that are of fractional order. ... should be particularly appealing to a reader who wants a brief introduction to matters that involve long-range dependence that arises in a number of processes such as network traffic, DNA sequences, stock prices etc., and a rudimentary understanding of which methods are appropriate for identifying and characterizing such behavior." (Joseph Lakey, Zentralblatt MATH, Vol. 1237, 2012)

"This short introductory textbook on Fractional Order Signal Processing (FOSP) consists of seven chapters ... . The main benefit for a beginner in FOSP is the list of relevant fresh references at the end of each chapter. These references link either to up-to-date results or to classical works in the area." (Tibor K. Pogány, Mathematical Reviews, January, 2013)

Spis treści

Introduction.- Basics of Fractional Order Signals and Systems.- Long Range Dependence, Stable Distributions and Self-similarity.- Fractional Order Integral Transforms.- Fractional Order System Identification.- Fractional Order Statistical Signal Processing.-  MATLAB Based Simulation Tools.