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Introduction

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Fractional Processes and Fractional-Order Signal Processing

Part of the book series: Signals and Communication Technology ((SCT))

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Abstract

Chapter 1 briefly introduces the research motivation of the monograph, and the basic theories of fractionalorder signal processing techniques. Fractional processes and the fractional-order signal processing techniques are extended from conventional integer-order processes and integer-order signal processing techniques, respectively. Fractional processes are characterized by heavy-tailed distribution, power-law decay of autocorrelation, or local memory. In order to effectively study these fractional processes, many fractionalorder signal processing techniques were provided, such as fractional filter, simulation of fractional processes, and fractional modeling. Fractional-order signal processing techniques are based on the basic theories of α stable distribution, fractional calculus and fractional Fourier transform. Besides, the contributions of the monograph are briefly summarized at the end of the chapter.

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Authors and Affiliations

  1. School of Electronic and Information Engineering, Dalian Jiaotong University, Dalian, People’s Republic of China

    Hu Sheng

  2. Department of Electrical and Computer Engineering, CSOIS, Utah State University, Old Main Hill 4160, Logan, UT, 84322-4120, USA

    YangQuan Chen

  3. School of Electronic and Information Engineering, Dalian University of Technology, Dalian, People’s Republic of China

    TianShuang Qiu

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  1. Hu Sheng
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  2. YangQuan Chen
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  3. TianShuang Qiu
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Correspondence to Hu Sheng .

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© 2012 Springer-Verlag London Limited

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Sheng, H., Chen, Y., Qiu, T. (2012). Introduction. In: Fractional Processes and Fractional-Order Signal Processing. Signals and Communication Technology. Springer, London. https://doi.org/10.1007/978-1-4471-2233-3_1

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  • DOI: https://doi.org/10.1007/978-1-4471-2233-3_1

  • Publisher Name: Springer, London

  • Print ISBN: 978-1-4471-2232-6

  • Online ISBN: 978-1-4471-2233-3

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