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A high-efficiency blind watermarking algorithm for double color image using Walsh Hadamard transform
The Visual Computer, 2021Siyu Chen +3 more
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Use of the 1-D Hadamard Transform in the Computation of a 2-D Hadamard Transform
1997Let X be an N(= 2 n ) × M (= 2 m ) dimensional data matrix and let Y be the N × M Hadamard transform matrix as $$ \begin{gathered} X = \left( \begin{gathered} {x_{{11}}}\quad {x_{{12}}}\quad \cdots \quad {x_{{12}}} \hfill \\ {x_{{21}}}\quad {x_{{22}}}\quad \cdots \quad {x_{{12}}} \hfill \\ \;\, \vdots \quad \quad \vdots \quad \;\;\; \vdots \quad \;\
R. K. Rao Yarlagadda, John E. Hershey
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Energy Packing Efficiency of the Hadamard Transform
IEEE Transactions on Communications, 1976Summary: This concise paper presents a theoretical evaluation of energy packing of the Hadamard transform which is often used in signal processing. It is shown that energy contained in the lowest \(1/2^j\) \(( j\): positive integer) of a signal's sequency spectrum can be explicitly evaluated in terms of covariances of the signal.
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Computation of the Hadamard Transform and the R- Transform in Ordered Form
IEEE Transactions on Computers, 1970This correspondence describes a method of computing the Hadamard transform and the R-transform. This method produces the transform components in the order of the increasing sequency of the Walsh functions represented by the rows of a symmetric Hadamard matrix for which the sequency of each row is larger than the sequency of the preceding row.
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On Computation of the Hadamard Transform and the R Transform in Ordered Form
IEEE Transactions on Computers, 1975This correspondence describes an improved computational algorithm for the Hadamard transform and the R transform. By performing the computation "in place", the number of storage locations is minimized and the speed is increased. The transformed coefficients are in the order of increasing sequency.
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Journal of Information Security and Applications, 2020
Hidangmayum Saxena Devi, K. M. Singh
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Hidangmayum Saxena Devi, K. M. Singh
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On q-Hermite–Hadamard inequalities for general convex functions
Acta Mathematica Hungarica, 2020Péter Kórus
exaly
Hermite–Hadamard’s inequalities for fractional integrals and related fractional inequalities
Mathematical and Computer Modelling, 2013Mehmet Zeki Sarikaya +2 more
exaly