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Walsh Functions with Barycentric Symmetry over Triangular Domain

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DOI: 10.23977/tracam.2024.040105 | Downloads: 4 | Views: 236


Bowen Jiang 1


1 School of Artificial Intelligence and Computer Science, Jiangnan University, Wuxi, Jiangsu Province, 214122, China

Corresponding Author

Bowen Jiang


The Walsh function is a complete set of orthogonal functions defined on the interval [0, 1], with values fixed at either +1 or -1. The function demonstrates the beauty of symmetry in mathematics and plays a unique role in applications. This paper focuses on the Walsh function over the trigonometric domain and develops a set of completely orthogonal functions over the trigonometric domain. The results illustrate the symmetry of these functions in both mathematical form and the barycentric coordinate system.


Walsh function, orthogonality, triangular domain, barycentric symmetry


Bowen Jiang, Walsh Functions with Barycentric Symmetry over Triangular Domain. Transactions on Computational and Applied Mathematics (2024) Vol. 4: 36-40. DOI:


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