Chapter 2 provides an overview of basic concepts of fractional processes and fractionalorder signal processing techniques from the perspective of fractional signals and fractional order systems. Signal processing fractional signal processing and. It is very easy to introduce noise in the process of capturing and trans. Signal processing and recognition of true kinetic equations containing noninteger derivatives from raw dielectric data. Fractional signal processing and applications request pdf.
The longrange dependence is reported and characterized in both applications. In fractional processes and fractionalorder signal processing, some complex. An overview of fractional processes and fractionalorder signal processing techniques hu sheng, yangquan chen, tianshuang qiu. Constant order fractional processes hu sheng, yangquan chen, tianshuang qiu. Based on the fractional calculus, fractional order systems are classified into three categories. In fractional processes and fractionalorder signal processing, some complex random signals, characterized by the presence of a heavytailed distribution or nonnegligible dependence between distant observations local and long memory, are introduced and examined from the fractional perspective using simulation, fractionalorder modeling and filtering and realization of fractionalorder systems. Fractional processes are widely found in science, technology and engineering systems. Request pdf on jan 1, 2012, hu sheng and others published fractional processes and fractionalorder signal processing find, read and cite all the research you need on researchgate. Fractional order signal processing introductory concepts and. In fractional processes and fractionalorder signal processing, some complex random signals, characterized by the presence of a heavytailed distribution or nonnegligible dependence between distant observations local and long memory, are introduced and examined from the fractional perspective using simulation. Some crucial pioneering work by applying fractional order calculus into signal processing can be found in 17,18 and some fundamental theories and applications are presented in 19, 20. Multifractional processes hu sheng, yangquan chen, tianshuang qiu. This paper addresses the use of a polymerelectrolyte transistor pet for use in implementating fractionalorder algorithms for signal processing.
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