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The Cartographer
The Cascading Haar Wavelet algorithm for computing the Walsh-Hadamard Transform
September 21, 2016 Β· Declared Dead Β· π IEEE Signal Processing Letters
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Authors
Andrew Thompson
arXiv ID
1609.06641
Category
cs.DS: Data Structures & Algorithms
Citations
22
Venue
IEEE Signal Processing Letters
Last Checked
3 months ago
Abstract
We propose a novel algorithm for computing the Walsh-Hadamard Transform (WHT) which consists entirely of Haar wavelet transforms. We prove that the algorithm, which we call the Cascading Haar Wavelet (CHW) algorithm, shares precisely the same serial complexity as the popular divide-and-conquer algorithm for the WHT. We also propose a natural way of parallelizing the algorithm which has a number of attractive features.
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