Abstract
A structure which can be divided into smaller and smaller pieces, each piece being an exact replica of the entire structure is called self-similar. The set of Walsh functions can be classified into distinct self-similar groups and subgroups where members of each subgroup exhibit self-similarity. After a brief discussion on the generation of higher order Walsh functions from lower order Walsh functions by an alternating process, a scheme for classification of Walsh functions into self-similar groups and subgroups is presented. Self-similarity in radial and annular Walsh functions and the correspondence between Walsh filters and Walsh functions are also discussed.
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Hazra, L., Mukherjee, P. (2018). Self-similarity in Walsh Functions. In: Self-similarity in Walsh Functions and in the Farfield Diffraction Patterns of Radial Walsh Filters. SpringerBriefs in Applied Sciences and Technology. Springer, Singapore. https://doi.org/10.1007/978-981-10-2809-0_2
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DOI: https://doi.org/10.1007/978-981-10-2809-0_2
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Online ISBN: 978-981-10-2809-0
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