Abstract
Let X be an N(= 2n) × M (= 2m) dimensional data matrix and let Y be the N × M Hadamard transform matrix as
and
where {x i } and {y i } are N-dimensional column vectors. The 2-D Hadamard transform is given by
where H n and H m are 2n × 2n and 2m × 2m Hadamard matrices. Since n may not necessarily be equal to m, we will use superscripts (n) and (m) to denote the columns h i (n) and h i (m) in H n and H m respectively.
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© 1997 Springer Science+Business Media New York
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Yarlagadda, R.K.R., Hershey, J.E. (1997). Use of the 1-D Hadamard Transform in the Computation of a 2-D Hadamard Transform. In: Hadamard Matrix Analysis and Synthesis. The Springer International Series in Engineering and Computer Science, vol 383. Springer, Boston, MA. https://doi.org/10.1007/978-1-4615-6313-6_8
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DOI: https://doi.org/10.1007/978-1-4615-6313-6_8
Publisher Name: Springer, Boston, MA
Print ISBN: 978-1-4613-7898-3
Online ISBN: 978-1-4615-6313-6
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