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The Cascading Haar Wavelet algorithm for computing the Walsh-Hadamard Transform

Abstract:
A novel algorithm for computing the Walsh–Hadamard transform (WHT) is proposed, which consists entirely of Haar wavelet transforms. It is proved that the algorithm, referred to as the cascading Haar wavelet algorithm, shares precisely the same serial complexity as the popular divide-and-conquer algorithm for the WHT. A natural parallelization of the algorithm is also proposed, which has a number of attractive features.
Publication status:
Published
Peer review status:
Peer reviewed

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Publisher copy:
10.1109/LSP.2017.2705247

Authors

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Institution:
University of Oxford
Division:
MPLS
Department:
Mathematical Institute
Role:
Author


Publisher:
IEEE
Journal:
IEEE Signal Processing Letters More from this journal
Volume:
24
Issue:
7
Pages:
1020-1023
Publication date:
2017-05-17
Acceptance date:
2017-05-10
DOI:
EISSN:
1558-2361
ISSN:
1070-9908


Keywords:
Pubs id:
pubs:694284
UUID:
uuid:66c93c8e-4f23-46fc-ae31-4d44ffcaec9a
Local pid:
pubs:694284
Source identifiers:
694284
Deposit date:
2017-05-24
ARK identifier:

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