Таблица F5.A-1.4. Свертка 2-х векторов в (A-1)-арифметике

Таблица F5.A-1.4 Свертка 2-х векторов (r)X[t] и (r)H[t] длины T=16
в поле Галуа

GF( 1 + 225 ) = GF( 1 + 232 ) = GF( F5 )

в (A-1)-арифметике, T^–1 = 1/T = - 16. 0. 0. 1
Результаты в A-арифметике в 33-битовых числах = ПСАНВ± mod F5, т.е.
в диапазоне [–231..+231]

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. 2	+ 0. 0. 0. 18	+ 0. 0. 0. 1	+ 0. 0. 0. 3	+ 0. 0. 0. 54	+ 0. 0. 0. 32	+ 0. 0. 0. 2
1	+ 0. 0. 0. 15	+ 0. 0. 1.242	+ 0. 0. 0. 2	+ 0. 0. 0. 33	+ 0. 0. 64. 50	+ 0. 0. 1. 48	+ 0. 0. 0. 19
2	+ 0. 0. 0. 1	+ 0. 1. 15. 2	0. 0. 0. 0	+ 0. 0. 2. 1	+ 2. 31. 19. 2	+ 0. 0. 1.240	+ 0. 0. 0. 31
3	0. 0. 0. 0	+ 1. 0.240. 2	0. 0. 0. 0	+ 0. 0. 32. 1	+ 31. 1. 47.226	+ 0. 0. 0. 32	+ 0. 0. 0. 2
4	0. 0. 0. 0	+ 0. 15. 0. 1	0. 0. 0. 0	+ 0. 2. 0. 1	+ 0. 16.255.227	0. 0. 0. 0	0. 0. 0. 0
5	0. 0. 0. 0	+ 0.239.255. 2	0. 0. 0. 0	+ 0. 32. 0. 1	- 30.208. 30.255	0. 0. 0. 0	0. 0. 0. 0
6	0. 0. 0. 0	+ 14.255. 0. 2	0. 0. 0. 0	+ 2. 0. 0. 1	+ 18.225. 2. 2	0. 0. 0. 0	0. 0. 0. 0
7	0. 0. 0. 0	- 17. 0. 0. 0	0. 0. 0. 0	+ 32. 0. 0. 1	+ 17. 32. 0. 1	0. 0. 0. 0	0. 0. 0. 0
8	0. 0. 0. 0	- 0. 0. 0. 13	0. 0. 0. 0	- 0. 0. 0. 2	+ 0. 0. 0. 12	0. 0. 0. 0	0. 0. 0. 0
9	0. 0. 0. 0	+ 0. 0. 0. 18	0. 0. 0. 0	- 0. 0. 0. 32	- 0. 0. 2. 47	0. 0. 0. 0	0. 0. 0. 0
10	0. 0. 0. 0	+ 0. 0.241. 2	0. 0. 0. 0	- 0. 0. 2. 0	- 1.225. 18.255	0. 0. 0. 0	0. 0. 0. 0
11	0. 0. 0. 0	+ 0.255. 16. 2	0. 0. 0. 0	- 0. 0. 32. 0	+ 30.254.208. 34	0. 0. 0. 0	0. 0. 0. 0
12	0. 0. 0. 0	- 0. 15. 0. 0	0. 0. 0. 0	- 0. 2. 0. 0	- 0. 17. 0. 30	0. 0. 0. 0	0. 0. 0. 0
13	0. 0. 0. 0	- 0.240. 0.255	0. 0. 0. 0	- 0. 32. 0. 0	+ 30.207.225. 2	0. 0. 0. 0	0. 0. 0. 0
14	0. 0. 0. 0	- 15. 0.255.255	0. 0. 0. 0	- 2. 0. 0. 0	- 19. 31. 1.255	0. 0. 0. 0	0. 0. 0. 0
15	0. 0. 0. 0	+ 15. 0. 0. 3	0. 0. 0. 0	- 32. 0. 0. 0	- 79. 31.255.254	0. 0. 0. 0	0. 0. 0. 0