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IEEE Transactions on Electromagnetic Compatibility, 1971
Gray code is a natural way of ordering binary vectors in dyadic space, hence it appears frequently in connetion with Walsh functions. In Paley's definition of Walsh functions their sequencies are arranged in Gray code. Gray code also appears in a new Walsh function generation algorithm which obtains a function by locating all its sign changes.
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Gray code is a natural way of ordering binary vectors in dyadic space, hence it appears frequently in connetion with Walsh functions. In Paley's definition of Walsh functions their sequencies are arranged in Gray code. Gray code also appears in a new Walsh function generation algorithm which obtains a function by locating all its sign changes.
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Walsh Functions and Their Generalizations
1991Consider the function defined on the half open unit interval [0, 1) by $${{r}_{0}}(x) = \left\{ {\begin{array}{*{20}{c}} 1 & {for x \in [0, 1/2),} \\ { - 1} & {for x \in [1/2,1).} \\ \end{array} } \right.$$ Extend it to the real line by priodicity of period 1 and set r k (x) = r0(2 k x)for k = 0,1, … and real x.
B. Golubov, A. Efimov, V. Skvortsov
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Function Generation by Walsh Functions
IETE Journal of Research, 1973S. S. R. Murthy, P. S. Ramakrishna
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Measuring Family Resilience: Evaluating the Walsh Family Resilience Questionnaire
Family Journal, 2021James Michael Duncan
exaly
An audio encryption scheme based on Fast Walsh Hadamard Transform and mixed chaotic keystreams
Applied Computing and Informatics, 2023exaly
Walsh–Hadamard Transform Kernel-Based Feature Vector for Shot Boundary Detection
IEEE Transactions on Image Processing, 2014Lakshmi Priya G G
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A chaotic colour image encryption scheme combining Walsh–Hadamard transform and Arnold–Tent maps
Journal of Ambient Intelligence and Humanized Computing, 2019Syam Sankar, Ashok S Kumar
exaly

