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=64
в поле Галуа

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

в (A-1)-арифметике, T^–1 = 1/T = - 4. 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. 0.128	+ 0. 0. 0. 2
1	+ 0. 0. 0. 15	+ 0. 0. 0. 36	+ 0. 0. 0. 2	+ 0. 0. 0. 5	+ 0. 0. 0.180	+ 0. 0. 4.192	+ 0. 0. 0. 19
2	+ 0. 0. 0. 1	+ 0. 0. 0. 78	0. 0. 0. 0	+ 0. 0. 0. 9	+ 0. 0. 2.190	+ 0. 0. 7.192	+ 0. 0. 0. 31
3	0. 0. 0. 0	+ 0. 0. 0.186	0. 0. 0. 0	+ 0. 0. 0. 17	+ 0. 0. 12. 90	+ 0. 0. 0.128	+ 0. 0. 0. 2
4	0. 0. 0. 0	+ 0. 0. 1.242	0. 0. 0. 0	+ 0. 0. 0. 33	+ 0. 0. 64. 50	0. 0. 0. 0	0. 0. 0. 0
5	0. 0. 0. 0	+ 0. 0. 5.226	0. 0. 0. 0	+ 0. 0. 0. 65	+ 0. 1.126. 98	0. 0. 0. 0	0. 0. 0. 0
6	0. 0. 0. 0	+ 0. 0. 19.194	0. 0. 0. 0	+ 0. 0. 0.129	+ 0. 9.244.194	0. 0. 0. 0	0. 0. 0. 0
7	0. 0. 0. 0	+ 0. 0. 71.130	0. 0. 0. 0	+ 0. 0. 1. 1	+ 0. 71.201.130	0. 0. 0. 0	0. 0. 0. 0
8	0. 0. 0. 0	+ 0. 1. 15. 2	0. 0. 0. 0	+ 0. 0. 2. 1	+ 2. 31. 19. 2	0. 0. 0. 0	0. 0. 0. 0
9	0. 0. 0. 0	+ 0. 4. 30. 2	0. 0. 0. 0	+ 0. 0. 4. 1	+ 16.124. 38. 2	0. 0. 0. 0	0. 0. 0. 0
10	0. 0. 0. 0	+ 0. 16. 60. 2	0. 0. 0. 0	+ 0. 0. 8. 1	-126. 15.180. 0	0. 0. 0. 0	0. 0. 0. 0
11	0. 0. 0. 0	+ 0. 64.120. 2	0. 0. 0. 0	+ 0. 0. 16. 1	+ 7.192.151.254	0. 0. 0. 0	0. 0. 0. 0
12	0. 0. 0. 0	+ 1. 0.240. 2	0. 0. 0. 0	+ 0. 0. 32. 1	+ 31. 1. 47.226	0. 0. 0. 0	0. 0. 0. 0
13	0. 0. 0. 0	+ 4. 1.224. 2	0. 0. 0. 0	+ 0. 0. 64. 1	+124. 2. 95. 2	0. 0. 0. 0	0. 0. 0. 0
14	0. 0. 0. 0	+ 16. 3.192. 2	0. 0. 0. 0	+ 0. 0.128. 1	- 15.251. 72. 1	0. 0. 0. 0	0. 0. 0. 0
15	0. 0. 0. 0	+ 64. 7.128. 2	0. 0. 0. 0	+ 0. 1. 0. 1	- 63.246.192. 7	0. 0. 0. 0	0. 0. 0. 0
16	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
17	0. 0. 0. 0	+ 0. 29.255.254	0. 0. 0. 0	+ 0. 4. 0. 1	+ 0. 21.255.134	0. 0. 0. 0	0. 0. 0. 0
18	0. 0. 0. 0	+ 0. 59.255.242	0. 0. 0. 0	+ 0. 8. 0. 1	- 0. 52. 1.239	0. 0. 0. 0	0. 0. 0. 0
19	0. 0. 0. 0	+ 0.119.255.194	0. 0. 0. 0	+ 0. 16. 0. 1	- 3.104. 7.191	0. 0. 0. 0	0. 0. 0. 0
20	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
21	0. 0. 0. 0	+ 1.223.252. 2	0. 0. 0. 0	+ 0. 64. 0. 1	+ 2. 95.132. 3	0. 0. 0. 0	0. 0. 0. 0
22	0. 0. 0. 0	+ 3.191.240. 2	0. 0. 0. 0	+ 0.128. 0. 1	+ 4.190. 16. 10	0. 0. 0. 0	0. 0. 0. 0
23	0. 0. 0. 0	+ 7.127.192. 2	0. 0. 0. 0	+ 1. 0. 0. 1	+ 9.120. 64. 66	0. 0. 0. 0	0. 0. 0. 0
24	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
25	0. 0. 0. 0	+ 29.252. 0. 2	0. 0. 0. 0	+ 4. 0. 0. 1	+ 37.132. 16. 2	0. 0. 0. 0	0. 0. 0. 0
26	0. 0. 0. 0	+ 59.240. 0. 2	0. 0. 0. 0	+ 8. 0. 0. 1	+ 74. 16.128. 2	0. 0. 0. 0	0. 0. 0. 0
27	0. 0. 0. 0	+119.192. 0. 2	0. 0. 0. 0	+ 16. 0. 0. 1	-111.188. 0. 0	0. 0. 0. 0	0. 0. 0. 0
28	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
29	0. 0. 0. 0	- 36. 0. 0. 1	0. 0. 0. 0	+ 64. 0. 0. 1	- 27. 0. 0. 1	0. 0. 0. 0	0. 0. 0. 0
30	0. 0. 0. 0	- 80. 0. 0. 3	0. 0. 0. 0	-128. 0. 0. 1	- 40. 0. 0. 2	0. 0. 0. 0	0. 0. 0. 0
31	0. 0. 0. 0	+ 63.255.255.251	0. 0. 0. 0	0. 0. 0. 0	0. 0. 0. 0	0. 0. 0. 0	0. 0. 0. 0
32	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
33	0. 0. 0. 0	- 0. 0. 0. 25	0. 0. 0. 0	- 0. 0. 0. 4	+ 0. 0. 0. 72	0. 0. 0. 0	0. 0. 0. 0
34	0. 0. 0. 0	- 0. 0. 0. 43	0. 0. 0. 0	- 0. 0. 0. 8	+ 0. 0. 1. 38	0. 0. 0. 0	0. 0. 0. 0
35	0. 0. 0. 0	- 0. 0. 0. 55	0. 0. 0. 0	- 0. 0. 0. 16	+ 0. 0. 3. 42	0. 0. 0. 0	0. 0. 0. 0
36	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
37	0. 0. 0. 0	+ 0. 0. 2. 34	0. 0. 0. 0	- 0. 0. 0. 64	- 0. 0.134. 95	0. 0. 0. 0	0. 0. 0. 0
38	0. 0. 0. 0	+ 0. 0. 12. 66	0. 0. 0. 0	- 0. 0. 0.128	- 0. 6. 20.191	0. 0. 0. 0	0. 0. 0. 0
39	0. 0. 0. 0	+ 0. 0. 56.130	0. 0. 0. 0	- 0. 0. 1. 0	- 0. 56. 73.127	0. 0. 0. 0	0. 0. 0. 0
40	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
41	0. 0. 0. 0	+ 0. 3.226. 2	0. 0. 0. 0	- 0. 0. 4. 0	- 15.132. 37.255	0. 0. 0. 0	0. 0. 0. 0
42	0. 0. 0. 0	+ 0. 15.196. 2	0. 0. 0. 0	- 0. 0. 8. 0	-126. 16. 75.255	0. 0. 0. 0	0. 0. 0. 0
43	0. 0. 0. 0	+ 0. 63.136. 2	0. 0. 0. 0	- 0. 0. 16. 0	+ 7.191.104. 6	0. 0. 0. 0	0. 0. 0. 0
44	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
45	0. 0. 0. 0	+ 3.254. 32. 2	0. 0. 0. 0	- 0. 0. 64. 0	+123.253.161. 2	0. 0. 0. 0	0. 0. 0. 0
46	0. 0. 0. 0	+ 15.252. 64. 2	0. 0. 0. 0	- 0. 0.128. 0	- 16. 4.184. 1	0. 0. 0. 0	0. 0. 0. 0
47	0. 0. 0. 0	+ 63.248.128. 2	0. 0. 0. 0	- 0. 1. 0. 0	- 64. 9. 64. 7	0. 0. 0. 0	0. 0. 0. 0
48	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
49	0. 0. 0. 0	- 0. 30. 0. 3	0. 0. 0. 0	- 0. 4. 0. 0	- 0. 22. 0.123	0. 0. 0. 0	0. 0. 0. 0
50	0. 0. 0. 0	- 0. 60. 0. 15	0. 0. 0. 0	- 0. 8. 0. 0	+ 0. 51.254. 18	0. 0. 0. 0	0. 0. 0. 0
51	0. 0. 0. 0	- 0.120. 0. 63	0. 0. 0. 0	- 0. 16. 0. 0	+ 3.103.248. 66	0. 0. 0. 0	0. 0. 0. 0
52	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
53	0. 0. 0. 0	- 1.224. 3.255	0. 0. 0. 0	- 0. 64. 0. 0	- 2. 96.124. 0	0. 0. 0. 0	0. 0. 0. 0
54	0. 0. 0. 0	- 3.192. 15.255	0. 0. 0. 0	- 0.128. 0. 0	- 4.193.240. 7	0. 0. 0. 0	0. 0. 0. 0
55	0. 0. 0. 0	- 7.128. 63.255	0. 0. 0. 0	- 1. 0. 0. 0	- 9.135.192. 63	0. 0. 0. 0	0. 0. 0. 0
56	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
57	0. 0. 0. 0	- 30. 3.255.255	0. 0. 0. 0	- 4. 0. 0. 0	- 38.124. 15.255	0. 0. 0. 0	0. 0. 0. 0
58	0. 0. 0. 0	- 60. 15.255.255	0. 0. 0. 0	- 8. 0. 0. 0	- 77.240.127.255	0. 0. 0. 0	0. 0. 0. 0
59	0. 0. 0. 0	-120. 63.255.255	0. 0. 0. 0	- 16. 0. 0. 0	+ 96. 60. 0. 3	0. 0. 0. 0	0. 0. 0. 0
60	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
61	0. 0. 0. 0	+ 28. 0. 0. 4	0. 0. 0. 0	- 64. 0. 0. 0	+ 35. 0. 0. 5	0. 0. 0. 0	0. 0. 0. 0
62	0. 0. 0. 0	+ 48. 0. 0. 6	0. 0. 0. 0	-128. 0. 0. 0	+ 72. 0. 0. 9	0. 0. 0. 0	0. 0. 0. 0
63	0. 0. 0. 0	+ 64. 0. 0. 10	0. 0. 0. 0	+ 0. 0. 0. 2	-127.255.255.238	0. 0. 0. 0	0. 0. 0. 0