Title :
On Jacket transforms over finite fields
Author :
Lee, Moon Ho ; Borissov, Yuri L.
Author_Institution :
Inst. of Inf. & Commun., Chonbuk Nat. Univ., Jeonju, South Korea
fDate :
June 28 2009-July 3 2009
Abstract :
In 2001 Lee, Rajan and Park introduced (among other things) the concept of extended complex reverse jacket (CRJ) transform over finite field. In this paper, we prove that this transform is equivalent to Galois field Fourier (GFF) transform and possesses an additional feature of having a matrix with specific border. We also, present examples of Jacket transforms over finite fields applicable to odd dimensions extending in this way previous works on the subject.
Keywords :
Fourier transforms; Galois fields; matrix algebra; Galois field Fourier transform; complex reverse jacket transform; finite fields; jacket matrix; Codes; Fourier transforms; Galois fields; Image coding; Informatics; Mathematics; Moon; Multiaccess communication; Physics; Signal processing; Galois Field Fourier transform; Jacket matrix; Jacket transform; Vandermonde matrix; signal processing;
Conference_Titel :
Information Theory, 2009. ISIT 2009. IEEE International Symposium on
Conference_Location :
Seoul
Print_ISBN :
978-1-4244-4312-3
Electronic_ISBN :
978-1-4244-4313-0
DOI :
10.1109/ISIT.2009.5205783
