Title :
Generalized Fixed Polarity Helix transforms over GF(4)
Author :
Cheng Fu ; Falkowski, Bogdan J.
Author_Institution :
Intell. Syst. Centre, Nanyang Technol. Univ., Singapore, Singapore
Abstract :
New linearly independent quaternary transforms over Galois Field (4) called Generalized Fixed Polarity Helix transforms are introduced here. Their definitions based on recursive equations are described. Various properties of quaternary helix transform matrices, their mutual relations as well as their butterfly diagrams and computational costs versus quaternary Reed-Muller transform are also discussed.
Keywords :
Galois fields; matrix algebra; transforms; GF(4); Galois Field (4); butterfly diagrams; computational costs; generalized fixed polarity helix transforms; linearly independent quaternary transforms; mutual relations; quaternary Reed-Muller transform; quaternary helix transform matrices; recursive equations; Abstracts; Equations; Logic gates; Radio frequency; Transforms;
Conference_Titel :
Signal Processing Conference, 2009 17th European
Conference_Location :
Glasgow
Print_ISBN :
978-161-7388-76-7
