Abstract
Recently several generalizations to higher dimension of the classical Fourier transform (FT) using Clifford geometric algebra have been introduced, including the two-dimensional (2D) Clifford-Fourier transform (CFT). Based on the 2D CFT, we establish the two-dimensional Clifford windowed Fourier transform (CWFT). Using the spectral representation of the CFT, we derive several important properties such as shift, modulation, a reproducing kernel, isometry, and an orthogonality relation. Finally, we discuss examples of the CWFT and compare the CFT and CWFT. © 2010 Springer-Verlag London Limited.
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CITATION STYLE
Bahri, M., Hitzer, E. M. S., & Adji, S. (2010). Two-dimensional clifford windowed fourier transform. In Geometric Algebra Computing: in Engineering and Computer Science (pp. 93–106). Springer London. https://doi.org/10.1007/978-1-84996-108-0_5
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