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Universitas Hasanuddin
Research output:Contribution to journal›Article›peer-review
One-Dimensional Quaternion Fourier Transform with Application to Probability Theory
Ekasasmita W.
Symmetry
Q2Published: 2023Citations: 15
Abstract
The Fourier transform occupies a central place in applied mathematics, statistics, computer sciences, and engineering. In this work, we introduce the one-dimensional quaternion Fourier transform, which is a generalization of the Fourier transform. We derive the conjugate symmetry of the one-dimensional quaternion Fourier transform for a real signal. We also collect other properties, such as the derivative and Parseval’s formula. We finally study the application of this transformation in probability theory.
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10.3390/sym15040815Other files and links
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