The Hartley transform in a finite field

被引：0

作者：

de Souza, RMC ^{[1
]}

de Oliveira, HM ^{[1
]}

Kauffman, AN ^{[1
]}

机构：

[1] UFPE, CTG, Dept Eletr & Sistemas, CODEC,Grp Pesquisas Comunicacoes, BR-50711970 Recife, PE, Brazil

来源：

ITS '98 PROCEEDINGS - SBT/IEEE INTERNATIONAL TELECOMMUNICATIONS SYMPOSIUM, VOLS 1 AND 2 | 1998年

关键词：

D O I：

10.1109/ITS.1998.713126

中图分类号：

TN [电子技术、通信技术];

学科分类号：

0809 ;

摘要：

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 cas(k)(.) function over GF(q), which in turn leads to a finite field Hartley Transform. The main properties of this new discrete transform ave presented and areas for possible applications are mentioned.

引用

页码：245 / 250

页数：6

共 50 条

[11] Angular Hartley transform
Sontakke, P. K.
Gudadhe, A. S.
[J]. JOURNAL OF INTERDISCIPLINARY MATHEMATICS, 2010, 13 (01) : 105 - 111
[12] POLYNOMIAL TRANSFORM FAST HARTLEY TRANSFORM
CHAN, SC
HO, KL
[J]. ELECTRONICS LETTERS, 1990, 26 (22) : 1914 - 1916
[13] On the Big Hartley transform
Bouzeffour, Fethi
Jedidi, Wissem
[J]. INTEGRAL TRANSFORMS AND SPECIAL FUNCTIONS, 2024, 35 (02) : 113 - 126
[14] ASPECTS OF THE HARTLEY TRANSFORM
BRACEWELL, RN
[J]. PROCEEDINGS OF THE IEEE, 1994, 82 (03) : 381 - 387
[15] Hartley transform of signal packages
Seletkov, VL
[J]. IZVESTIYA VYSSHIKH UCHEBNYKH ZAVEDENII RADIOELEKTRONIKA, 2004, 47 (11-12): : 45 - 51
[16] ON THE EXCHANGE PROPERTY FOR THE HARTLEY TRANSFORM
Singh, Abhishek
[J]. ITALIAN JOURNAL OF PURE AND APPLIED MATHEMATICS, 2015, (35): : 373 - 380
[17] Hartley transform for tempered Boehmians
Loonker, Deshna
Banerji, P. K.
[J]. PROCEEDINGS OF THE NATIONAL ACADEMY OF SCIENCES INDIA SECTION A-PHYSICAL SCIENCES, 2011, 81A : 23 - 28
[18] A FAST ALGORITHM OF THE HARTLEY TRANSFORM
VAKULSKY, OA
VARICHENKO, LV
[J]. IZVESTIYA VYSSHIKH UCHEBNYKH ZAVEDENII RADIOELEKTRONIKA, 1989, 32 (09): : 89 - 91
[19] FAST HARTLEY TRANSFORM ALGORITHM
MECKELBURG, HJ
LIPKA, D
[J]. ELECTRONICS LETTERS, 1985, 21 (08) : 341 - 343
[20] THE FAST HARTLEY TRANSFORM ALGORITHM
HOU, HS
[J]. IEEE TRANSACTIONS ON COMPUTERS, 1987, 36 (02) : 147 - 156

← 1 2 3 4 5 →