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Title:
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Bispectrum on finite groups.
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Author:
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Kakarala, Ramakrishna.
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Copyright year:
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2009 |
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Abstract:
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The algebraic theory of finite groups appears in signal processing problems involving the statistical analysis of ranked
data and the construction of invariants for pattern recognition. Standard signal processing techniques involving spectral
analysis are, in theory, possible for data defined on finite groups by using the Fourier transform provided by group representations. However, one such technique, the bispectrum, which is useful for analysing non-Gaussian data as well as
for constructing geometric invariants, has not been explored in detail for finite groups. This paper shows how to construct
the bispectrum on an arbitrary finite group or homogeneous space and explores its properties. Examples are given using
the symmetric group as well as wreath-product groups. |
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Subject:
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DRNTU::Engineering::Computer science and engineering::Mathematics of computing::Probability and statistics. |
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Type:
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Conference Paper |
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Conference name:
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IEEE International Conference on Acoustics, Speech and Signal Processing (2009) |
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School:
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School of Computer Engineering |
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Research Centre:
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Game Lab |
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Rights:
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© IEEE. Personal use of this material is permitted. However, permission to reprint/republish this material for advertising or promotional purposes or for creating new collective works for resale or redistribution to servers or lists, or to reuse any copyrighted component of this work in other works must be obtained from the IEEE. This material is presented to ensure timely dissemination of scholarly and technical work. Copyright and all rights therein are retained by authors or by other copyright holders. All persons copying this information are expected to adhere to the terms and constraints invoked by each author's copyright. In most cases, these works may not be reposted without the explicit permission of the copyright holder. http://www.ieee.org/portal/site This material is presented to ensure timely dissemination of scholarly and technical work. Copyright and all rights therein are retained by authors or by other copyright holders. All persons copying this information are expected to adhere to the terms and constraints invoked by each author's copyright. In most cases, these works may not be reposted without the explicit permission of the copyright holder. |
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Version:
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Accepted version |
