Please use this identifier to cite or link to this item: https://hdl.handle.net/10356/91069
Title: Bispectrum on finite groups
Authors: Kakarala, Ramakrishna.
Keywords: DRNTU::Engineering::Computer science and engineering::Mathematics of computing::Probability and statistics
Issue Date: 2009
Source: Kakarala, R. (2009). Bispectrum on finite groups. IEEE International Conference on Acoustics, Speech, and Signal Processing (2009)
Conference: IEEE International Conference on Acoustics, Speech and Signal Processing (2009 : Taipei, Taiwan)
Abstract: 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.
URI: https://hdl.handle.net/10356/91069
http://hdl.handle.net/10220/4507
Schools: School of Computer Engineering 
Research Centres: Game Lab 
Rights: © 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.
Fulltext Permission: open
Fulltext Availability: With Fulltext
Appears in Collections:SCSE Conference Papers

Files in This Item:
File Description SizeFormat 
bisfingroupsicassp2009.pdfAccepted version126.89 kBAdobe PDFThumbnail
View/Open

Page view(s) 10

901
Updated on Mar 26, 2024

Download(s) 5

577
Updated on Mar 26, 2024

Google ScholarTM

Check

Items in DR-NTU are protected by copyright, with all rights reserved, unless otherwise indicated.