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13 - Electrical and Electronic Engineering, Metallurgy and Materials

Newcastle University

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Article title

Fast Walsh-Hadamard-Fourier Tranforms Algorithm

Type

D - Journal article

DOI

10.1109/TSP.2011.2162836

Title of journal

IEEE Transactions on Signal Processing

Article number

Volume number

Issue number

First page of article

5627

ISSN of journal

1941-0476

Year of publication

2011

URL

http://dx.doi.org/10.1109/TSP.2011.2162836

Number of additional authors

Additional information

The fast Fourier transform is the fundamental computation process underpinning modern communication systems. This research aims to improve the reliability of such systems with a computationally efficient combination of the Walsh-Hadamard and fast Fourier transforms, where conventionally these transforms have been calculated sequentially. The proposed algorithm has significantly fewer arithmetic operations and a 36%-70% saving in computation time over sequential implementations, making it much cheaper to practically realise. This work was supported in part by the Royal Academy of Engineering (Ref.10508/366) and EPSRC (GR/S98160/02) - £216,397 and led to a new international collaboration with Prof. Jamalipour, University of Sydney, Australia.

Interdisciplinary

Cross-referral requested

Research group

A - Communications, Sensors & Signal Processing (CSSP)

Proposed double-weighted

Double-weighted statement

Reserve for a double-weighted output

Non-English

English abstract