New Hypercomplex Analytic Signals and Fourier Transforms in Cayley-Dickson Algebras

• Autorzy: Snopek K. M.
• Języki publikacji: EN

Abstrakty

EN

In the paper, the definitions of the new hypercomplex Fourier transform and the new hypercomplex analytic signal are recalled. They have been derived basing on Cayley-Dickson algebra multiplication rules. Two other definitions of multidimensional Fourier transforms are presented, i.e., the classical one and the Clifford FT. The relation between them for 3-D real signals is derived. The differences between three complex/hypercomplex FTs are shown regarding the even-odd spectrum components in the 3-D case and norms/pseudonorms of 3-D analytic signals.

Słowa kluczowe

EN

hypercomplex signals; Cayley-Dickson algebras; Clifford algebras; quaternion Fourier transforms; analytic signals; complex delta distribution

• Wydawca: Polish Academy of Sciences, Committee of Electronics and Telecommunication
• Czasopismo: Electronics and Telecommunications Quarterly
• Rocznik: 2009
• Tom: Vol. 55, No 3
• Strony: 403--415
• Opis fizyczny: Bibliogr. 24 poz.

Twórcy

autor

Snopek K. M.

• Institute of Radioelectronics, Faculty of Electronics and Information Technology, Warsaw University of Technology,

Bibliografia

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