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Natural-ordered complex Hadamard transform

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Natural-ordered complex Hadamard transform

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dc.contributor.author Aung, Aye
dc.contributor.author Ng, Boon Poh
dc.date.accessioned 2011-09-21T06:22:56Z
dc.date.available 2011-09-21T06:22:56Z
dc.date.copyright 2009
dc.date.issued 2011-09-21
dc.identifier.citation Aung, A., & Ng, B. P. (2010). Natural-ordered complex Hadamard transform. Signal Processing, 90, 874-879.
dc.identifier.issn 0165-1684
dc.identifier.uri http://hdl.handle.net/10220/7090
dc.description.abstract This paper presents a new transform known as natural-ordered complex Hadamard transform (NCHT) which is derived from the Walsh–Hadamard transform (WHT) through the direct block matrix operation. Some of its properties, including the exponential property of the NCHT and the shift invariant property of the NCHT power spectrum, are presented. The relationship of the NCHT with the sequency-ordered complex Hadamard transform (SCHT) is discussed. In fact, it is shown that NCHT is a natural-ordered version of complex Hadamard transform whereas SCHT shows the sequency ordering. This is parallel to their real-valued counterparts, the WHT and the sequency-ordered Walsh transform (SOWT). A fast algorithm for computing the NCHT is also developed using sparse matrix factorization and its computational complexity is examined.
dc.format.extent 6 p.
dc.language.iso en
dc.relation.ispartofseries Signal processing
dc.rights © 2009 Elsevier. This is the author created version of a work that has been peer reviewed and accepted for publication by Signal Processing, Elsevier.  It incorporates referee's comments but changes resulting from the publishing process, such as copyediting, structural formatting, may not be reflected in this document. The published version is available at: [DOI: http://dx.doi.org/10.1016/j.sigpro.2009.09.007].
dc.subject DRNTU::Engineering::Electrical and electronic engineering::Electronic systems::Signal processing
dc.title Natural-ordered complex Hadamard transform
dc.type Journal Article
dc.contributor.school School of Electrical and Electronic Engineering
dc.identifier.doi http://dx.doi.org/10.1016/j.sigpro.2009.09.007
dc.description.version Accepted version
dc.identifier.rims 155441

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