Таблица F6.A-1.5. Свертка 2-х векторов в (A-1)-арифметике

Таблица F6.A-1.5 Свертка 2-х векторов (r)X[t] и (r)H[t] длины T= 4
в поле Галуа

GF( 1 + 226 ) = GF( 1 + 264 ) = GF( F6 )

в (A-1)-арифметике, T–1 = 1/T 0'192. 0. 0. 0. 0. 0. 0. 0 = > 2^32
Результаты в (A-1)-арифметике в виде 65-битовых слов = ПСНВ+ mod F6, т.е.
в диапазоне [ 0..+264]

t
(r)X[t] – вх.Сигнал
(r)X[f]=ЧПФ((r)X[t])
(r)H[t] – вх.Сигнал
(r)H[f]=ЧПФ((r)H[t])
(r)E[f]=(r)X[f]·(r)H[f]
(r)E[t]=оЧПФ((r)E[f])
(r)G[t]=(r)E[t]/T mod F2
   0
 0'  0.  0.  0.  0.  0.  0.  0.  1
 0'  0.  0.  0.  0.  0.  0.  0.  5
 0'  0.  0.  0.  0.  0.  0.  0.  0
 0'  0.  0.  0.  0.  0.  0.  0.  2
 0'  0.  0.  0.  0.  0.  0.  0. 17
 0'  0.  0.  0.  0.  0.  0.  0.  7
 0'  0.  0.  0.  0.  0.  0.  0.  1
   1
 0'  0.  0.  0.  0.  0.  0.  0.  2
 0'  0.  0.  0.  3.  0.  0.  0.  0
 0'  0.  0.  0.  0.  0.  0.  0.  1
 0'  0.  0.  0.  2.  0.  0.  0.  0
 0'  0.  0.  0.  4.255.255.255.250
 0'  0.  0.  0.  0.  0.  0.  0. 27
 0'  0.  0.  0.  0.  0.  0.  0.  6
   2
 0'  0.  0.  0.  0.  0.  0.  0.  0
 1'  0.  0.  0.  0.  0.  0.  0.  0
 1'  0.  0.  0.  0.  0.  0.  0.  0
 0'255.255.255.255.255.255.255.255
 1'  0.  0.  0.  0.  0.  0.  0.  0
 0'  0.  0.  0.  0.  0.  0.  0. 27
 0'  0.  0.  0.  0.  0.  0.  0.  6
   3
 1'  0.  0.  0.  0.  0.  0.  0.  0
 0'255.255.255.253.  0.  0.  0.  1
 1'  0.  0.  0.  0.  0.  0.  0.  0
 0'255.255.255.254.  0.  0.  0.  1
 0'255.255.255.250.255.255.255.251
 0'  0.  0.  0.  0.  0.  0.  0.  7
 0'  0.  0.  0.  0.  0.  0.  0.  1




© 2006 г., Александр Тимофеев, г.Харьков, Украина. E-mail: atimopheyev@yahoo.com