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. 0.192	+ 0. 0. 1.196	+ 0. 0. 0. 1	+ 0. 0. 0. 3	+ 0. 0. 5. 76	+ 0. 0. 12. 0	+ 0. 0. 0.192
1	+ 0. 0. 0.128	+ 0. 0.140.192	+ 0. 0. 0. 2	+ 0. 0. 0. 33	+ 0. 18. 36.192	+ 0. 0. 32. 0	+ 0. 0. 2. 0
2	+ 0. 0. 0.132	+ 0.132.128.192	0. 0. 0. 0	+ 0. 0. 2. 1	+ 9.134. 0.191	+ 0. 0. 24. 64	+ 0. 0. 1.132
3	0. 0. 0. 0	-123.247.255. 66	0. 0. 0. 0	+ 0. 0. 32. 1	-123.224. 15.195	+ 0. 0. 16.128	+ 0. 0. 1. 8
4	0. 0. 0. 0	+ 0.128. 0. 60	0. 0. 0. 0	+ 0. 2. 0. 1	+ 0.247.255. 60	0. 0. 0. 0	0. 0. 0. 0
5	0. 0. 0. 0	+ 7.255.124.192	0. 0. 0. 0	+ 0. 32. 0. 1	- 96. 1.131. 49	0. 0. 0. 0	0. 0. 0. 0
6	0. 0. 0. 0	+127.124. 0.192	0. 0. 0. 0	+ 2. 0. 0. 1	- 1.130.247. 67	0. 0. 0. 0	0. 0. 0. 0
7	0. 0. 0. 0	+124. 0. 0.185	0. 0. 0. 0	+ 32. 0. 0. 1	-115.127.255. 96	0. 0. 0. 0	0. 0. 0. 0
8	0. 0. 0. 0	+ 0. 0. 0.196	0. 0. 0. 0	- 0. 0. 0. 2	- 0. 0. 0.197	0. 0. 0. 0	0. 0. 0. 0
9	0. 0. 0. 0	+ 0. 0.124.192	0. 0. 0. 0	- 0. 0. 0. 32	- 0. 15. 27. 65	0. 0. 0. 0	0. 0. 0. 0
10	0. 0. 0. 0	+ 0.131.128.192	0. 0. 0. 0	- 0. 0. 2. 0	- 6.125.255. 64	0. 0. 0. 0	0. 0. 0. 0
11	0. 0. 0. 0	-124. 7.255. 66	0. 0. 0. 0	- 0. 0. 32. 0	-124. 31.238.195	0. 0. 0. 0	0. 0. 0. 0
12	0. 0. 0. 0	- 0.127.255.197	0. 0. 0. 0	- 0. 2. 0. 0	- 0.248. 0.197	0. 0. 0. 0	0. 0. 0. 0
13	0. 0. 0. 0	- 8. 0.131. 65	0. 0. 0. 0	- 0. 32. 0. 0	+ 95.254.124.176	0. 0. 0. 0	0. 0. 0. 0
14	0. 0. 0. 0	+127.124. 0.193	0. 0. 0. 0	- 2. 0. 0. 0	- 1.133. 7. 63	0. 0. 0. 0	0. 0. 0. 0
15	0. 0. 0. 0	+124. 0. 0.201	0. 0. 0. 0	- 32. 0. 0. 0	+107.128. 0.226	0. 0. 0. 0	0. 0. 0. 0