Quaternions and octonions in signal processing - fundamentals and some new results

• Autorzy: Snopek K. M.

Warianty tytułu

PL

Kwaterniony i oktoniony w przetwarzaniu sygnałów - podstawy teoretyczne i wybrane zastosowania

• Języki publikacji: EN

Abstrakty

EN

The paper shows relations between Cayley-Dickson hypercomplex algebras and the theory of 2D and 3D signals. Basics concerning properties of quaternions and octonions and chosen applications are described. The latest results of research in the domain of complex and hypercomplex multidimensional analytic signals are presented.

PL

Pokazano związki pomiędzy hiper zespolonymi algebrami Cayleya-Dicksona a teorią sygnałów 2- i 3-wymiarowych. Przypomniano podstawowe własności kwaternionów i oktonionów oraz opisano ich przykładowe zastosowania. Przedstawiono uzyskane ostatnio wyniki w dziedzinie zespolonych i hiper zespolonych analitycznych sygnałów wielowymiarowych.

Słowa kluczowe

EN

Cayley-Dickson construction; quaternions; octonions; analytic signals; color image analysis; watermarking

PL

konstrukcja Cayleya-Dicksona; kwaterniony; oktoniony; sygnały analityczne; analiza obrazów kolorowych; znakowanie wodne

• Wydawca: Wydawnictwo SIGMA-NOT
• Czasopismo: Przegląd Telekomunikacyjny + Wiadomości Telekomunikacyjne
• Rocznik: 2015
• Tom: nr 6
• Strony: 618--622
• Opis fizyczny: Bibliogr. 47 poz., rys., tab

Twórcy

autor

Snopek K. M.

• Instytut Radioelektroniki, Wydział Elektroniki i Technik Informacyjnych Politechniki Warszawskiej

Bibliografia

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