Title :
Basefield transforms derived from character tables
Author :
Klappenecker, Andreas
Author_Institution :
Inst. fur Algorithmen und Kognitive Syst., Karlsruhe Univ., Germany
Abstract :
We show that it is possible to define Hartley-like transforms for (generalized) character tables of finite groups. This large class of transforms include Hartley transforms for discrete Fourier transforms over abelian groups and Hartley-like transforms for the discrete cosine transform of type I
Keywords :
Hartley transforms; discrete Fourier transforms; discrete cosine transforms; group theory; matrix algebra; signal processing; Hartley transforms; Hartley-like transforms; abelian groups; basefield transforms; character tables; discrete Fourier transforms; finite groups; type I discrete cosine transform; Arithmetic; Convolution; Discrete Fourier transforms; Discrete cosine transforms; Discrete transforms; Ear; Fourier transforms; Galois fields; Terminology; Vectors;
Conference_Titel :
Acoustics, Speech, and Signal Processing, 1997. ICASSP-97., 1997 IEEE International Conference on
Conference_Location :
Munich
Print_ISBN :
0-8186-7919-0
DOI :
10.1109/ICASSP.1997.599307
