Please use this identifier to cite or link to this item: https://hdl.handle.net/10356/79847
Title: Natural-ordered complex Hadamard transform
Authors: Ng, Boon Poh
Aung, Aye
Keywords: DRNTU::Engineering::Electrical and electronic engineering::Electronic systems::Signal processing
Issue Date: 2009
Source: Aung, A., & Ng, B. P. (2010). Natural-ordered complex Hadamard transform. Signal Processing, 90, 874-879.
Series/Report no.: Signal processing
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.
URI: https://hdl.handle.net/10356/79847
http://hdl.handle.net/10220/7090
ISSN: 0165-1684
DOI: 10.1016/j.sigpro.2009.09.007
Schools: School of Electrical and Electronic Engineering 
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].
Fulltext Permission: open
Fulltext Availability: With Fulltext
Appears in Collections:EEE Journal Articles

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