Fractional Processes and Fractional-Order Signal Processing: Techniques and Applications (Signals and Communication Technology)

Hu Sheng, YangQuan Chen, TianShuang Qiu

  • 出版商: Springer
  • 出版日期: 2011-10-26
  • 售價: $6,520
  • 貴賓價: 9.5$6,194
  • 語言: 英文
  • 頁數: 295
  • 裝訂: Hardcover
  • ISBN: 1447122321
  • ISBN-13: 9781447122326
  • 海外代購書籍(需單獨結帳)

商品描述

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 (local and long memory), are introduced and examined from the ‘fractional’ perspective using simulation, fractional-order modeling and filtering and realization of fractional-order systems. These fractional-order signal processing (FOSP) techniques are based on fractional calculus, the fractional Fourier transform and fractional lower-order moments. Fractional Processes and Fractional-order Signal Processing:   presents fractional processes of fixed, variable and distributed order studied as the output of fractional-order differential systems;   introduces FOSP techniques and the fractional signals and fractional systems point of view;   details real-world-application examples of FOSP techniques to demonstrate their utility; and   provides important background material on Mittag–Leffler functions, the use of numerical inverse Laplace transform algorithms and supporting MATLAB® codes together with a helpful survey of relevant webpages. Readers will be able to use the techniques presented to re-examine their signals and signal-processing methods. This text offers an extended toolbox for complex signals from diverse fields in science and engineering. It will give academic researchers and practitioners a novel insight into the complex random signals characterized by fractional properties, and some powerful tools to analyze those signals.