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Estimation of an Impulse Response Using Kurtosis

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AsiaSim 2014 (AsiaSim 2014)

Part of the book series: Communications in Computer and Information Science ((CCIS,volume 474))

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Abstract

In this paper, we propose a method of estimating an impulse response of a system by using kurtosis. The kurtosis is used for a measurement of the non-Gaussianity and the sharpness of probability distribution. The probability distribution of the sum of i.i.d. random variables is close to the Gaussian distribution in comparison with the original distribution. This theorem is called the central limit theorem. Based on the central limit theorem, we estimate the impulse response by maximizing the kurtosis of an estimated noise that is obtained from an observed signal and an input signal to the system.

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Author information

Authors and Affiliations

  1. School of Science and Technology, Meiji University, 1-1-1 Higashimita, Tama-ku, Kawasaki-shi, Kanagawa, 214-8571, Japan

    Keito Kito & Takahiro Murakami

Authors
  1. Keito Kito
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  2. Takahiro Murakami
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Editor information

Editors and Affiliations

  1. Institute of Systems, Information Technologies and Nanotechnologies, Fukuoka, Japan

    Satoshi Tanaka

  2. College of Information Science and Engineering, Ritsumeikan University, 1-1-1 Noji-higashi, Kusatsu, Shiga, Japan

    Kyoko Hasegawa

  3. Graduate School of Mathematics, Kyushu University, Japan

    Rui Xu

  4. Institute for the Promotion of Excellence in Higher Education, Kyoto University, Japan

    Naohisa Sakamoto

  5. School of Computer Engineering, Nanyang Technological University, Nanyang Avenue, 639798, Singapore

    Stephen John Turner

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© 2014 Springer-Verlag Berlin Heidelberg

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Kito, K., Murakami, T. (2014). Estimation of an Impulse Response Using Kurtosis. In: Tanaka, S., Hasegawa, K., Xu, R., Sakamoto, N., Turner, S.J. (eds) AsiaSim 2014. AsiaSim 2014. Communications in Computer and Information Science, vol 474. Springer, Berlin, Heidelberg. https://doi.org/10.1007/978-3-662-45289-9_3

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  • DOI: https://doi.org/10.1007/978-3-662-45289-9_3

  • Publisher Name: Springer, Berlin, Heidelberg

  • Print ISBN: 978-3-662-45288-2

  • Online ISBN: 978-3-662-45289-9

  • eBook Packages: Computer ScienceComputer Science (R0)

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