Abstract
We describe several variants of the Walsh transform, sometimes called Walsh-Hadamard transform or just Hadamard transform. The Walsh transform has the same complexity as the Fourier transform but does not involve any multiplications. The XOR (dyadic) convolution that can be computed efficiently by the Walsh transform is introduced. We also give related transforms like the slant transform, the Reed-Muller transform, and the arithmetic transform.
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© 2011 Springer Berlin Heidelberg
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Arndt, J. (2011). The Walsh transform and its relatives. In: Matters Computational. Springer, Berlin, Heidelberg. https://doi.org/10.1007/978-3-642-14764-7_23
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DOI: https://doi.org/10.1007/978-3-642-14764-7_23
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Publisher Name: Springer, Berlin, Heidelberg
Print ISBN: 978-3-642-14763-0
Online ISBN: 978-3-642-14764-7
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