Таблица F3.A-1.6. Свертка 2-х векторов в (A-1)-арифметике

Таблица F3.A-1.6 Свертка 2-х векторов (r)X[t] и (r)H[t] длины T= 4
в поле Галуа

GF( 1 + 223 ) = GF( 1 + 28 ) = GF( F3 )

в (A-1)-арифметике, T^–1 = 1/T = 0'11000000B = -64
Результаты в (A-1)-арифметике в виде 9-битовых слов = ПСАНВ± mod F3, т.е. в диапазоне [–128..+128]

(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     0'00000000 =   1        0'00000010 =   3        1'00000000 =   0        0'00000001 =   2        0'00000101 =   6        0'00000011 =   4        0'00000000 =   1
   1     0'00000000 =   1        0'00000000 =   1        0'00000000 =   1        0'00001110 =  15        0'00001110 =  15        0'00000111 =   8        0'00000001 =   2
   2     1'00000000 =   0        0'11111111 =  -1        0'00000000 =   1        1'00000000 =   0        1'00000000 =   0        0'00000111 =   8        0'00000001 =   2
   3     0'00000000 =   1        0'00000000 =   1        1'00000000 =   0        0'11101111 = -17        0'11101111 = -17        0'00000011 =   4        0'00000000 =   1