Title :
The Hartley transform in a finite field
Author :
De Souza, R. M Campello ; de Oliveira, H.M. ; Kauffman, A.N.
Author_Institution :
Dept. de Electron. e Sistemas, Univ. Fed. de Pernambuco, Recife, Brazil
Abstract :
In this paper the k-trigonometric functions over the Galois field GF(q) are introduced and their main properties derived. This leads to the definition of the cask(.) function over GF(q), which in turn leads to a finite field Hartley transform. The main properties of this new discrete transform are presented and areas for possible applications are mentioned, including digital signal processing and digital multiplexing
Keywords :
Galois fields; discrete Hartley transforms; multiplexing; signal processing; Galois field; Hartley transform; digital multiplexing; digital signal processing; discrete transform; finite field; finite field Hartley transform; k-trigonometric functions; Arithmetic; Codecs; Convolution; Convolutional codes; Discrete Fourier transforms; Discrete transforms; Fourier transforms; Galois fields; Image processing; Signal processing;
Conference_Titel :
Telecommunications Symposium, 1998. ITS '98 Proceedings. SBT/IEEE International
Conference_Location :
Sao Paulo
Print_ISBN :
0-7803-5030-8
DOI :
10.1109/ITS.1998.713126
