Таблица F4.A-1.4. Свертка 2-х векторов в (A-1)-арифметике

Таблица F4.A-1.4 Свертка 2-х векторов (r)X[t] и (r)H[t] длины T=64
в поле Галуа

GF( 1 + 224 ) = GF( 1 + 216 ) = GF( F4 )

в (A-1)-арифметике, T–1 = 1/T = - 4. 1
Результаты в A-арифметике в 9-ти битовых числах = ПСАНВ± mod F4, т.е.
в диапазоне [–32768..+32768]

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. 2 + 0. 18 + 0. 1 + 0. 3 + 0. 54 + 0.128 + 0. 2
1 + 0. 15 - 16.238 + 0. 2 + 31.225 +110.207 + 4.192 + 0. 19
2 + 0. 1 + 0. 36 0. 0 + 0. 5 + 0.180 + 7.192 + 0. 31
3 0. 0 - 33.217 0. 0 + 63.193 + 92.150 + 0.128 + 0. 2
4 0. 0 + 0. 78 0. 0 + 0. 9 + 2.190 0. 0 0. 0
5 0. 0 - 67.163 0. 0 +127.129 - 80.244 0. 0 0. 0
6 0. 0 + 0.186 0. 0 + 0. 17 + 12. 90 0. 0 0. 0
7 0. 0 +120.251 0. 0 - 1. 1 + 5.121 0. 0 0. 0
8 0. 0 + 1.242 0. 0 + 0. 33 + 64. 50 0. 0 0. 0
9 0. 0 - 13. 14 0. 0 - 2. 2 + 38.243 0. 0 0. 0
10 0. 0 + 5.226 0. 0 + 0. 65 +126. 97 0. 0 0. 0
11 0. 0 - 22. 29 0. 0 - 4. 4 - 78. 6 0. 0 0. 0
12 0. 0 + 19.194 0. 0 + 0.129 - 11. 73 0. 0 0. 0
13 0. 0 - 28. 59 0. 0 - 8. 8 -107. 78 0. 0 0. 0
14 0. 0 + 71.130 0. 0 + 1. 1 - 54.199 0. 0 0. 0
15 0. 0 + 7.138 0. 0 - 16. 16 - 16.158 0. 0 0. 0
16 0. 0 + 15. 1 0. 0 + 2. 1 + 16.227 0. 0 0. 0
17 0. 0 + 15. 17 0. 0 - 32. 32 + 14.213 0. 0 0. 0
18 0. 0 + 29.254 0. 0 + 4. 1 + 21.134 0. 0 0. 0
19 0. 0 + 30. 28 0. 0 - 64. 64 - 97. 87 0. 0 0. 0
20 0. 0 + 59.242 0. 0 + 8. 1 - 53.239 0. 0 0. 0
21 0. 0 + 60. 38 0. 0 +127.130 + 71. 87 0. 0 0. 0
22 0. 0 +119.194 0. 0 + 16. 1 -111.188 0. 0 0. 0
23 0. 0 +120. 10 0. 0 - 0.255 - 25.118 0. 0 0. 0
24 0. 0 - 17. 0 0. 0 + 32. 1 + 17. 33 0. 0 0. 0
25 0. 0 - 16.240 0. 0 - 1.254 - 84.240 0. 0 0. 0
26 0. 0 - 36. 1 0. 0 + 64. 1 - 27. 1 0. 0 0. 0
27 0. 0 - 37.225 0. 0 - 3.252 - 61.248 0. 0 0. 0
28 0. 0 - 80. 3 0. 0 -128. 1 - 40. 2 0. 0 0. 0
29 0. 0 - 91.195 0. 0 - 7.248 - 44.174 0. 0 0. 0
30 0. 0 + 63.251 0. 0 0. 0 0. 0 0. 0 0. 0
31 0. 0 + 8.123 0. 0 - 15.240 - 31. 79 0. 0 0. 0
32 0. 0 - 0. 13 0. 0 - 0. 2 + 0. 12 0. 0 0. 0
33 0. 0 + 16.245 0. 0 - 31.224 -110. 80 0. 0 0. 0
34 0. 0 - 0. 25 0. 0 - 0. 4 + 0. 72 0. 0 0. 0
35 0. 0 + 33.236 0. 0 - 63.192 - 90.163 0. 0 0. 0
36 0. 0 - 0. 43 0. 0 - 0. 8 + 1. 38 0. 0 0. 0
37 0. 0 + 67.230 0. 0 -127.128 + 88.183 0. 0 0. 0
38 0. 0 - 0. 55 0. 0 - 0. 16 + 3. 42 0. 0 0. 0
39 0. 0 -119.248 0. 0 + 1. 2 + 25.139 0. 0 0. 0
40 0. 0 + 0. 18 0. 0 - 0. 32 - 2. 47 0. 0 0. 0
41 0. 0 + 17. 17 0. 0 + 2. 3 + 85. 17 0. 0 0. 0
42 0. 0 + 2. 34 0. 0 - 0. 64 +121.163 0. 0 0. 0
43 0. 0 + 38. 32 0. 0 + 4. 5 + 62. 7 0. 0 0. 0
44 0. 0 + 12. 66 0. 0 - 0.128 - 20.185 0. 0 0. 0
45 0. 0 + 92. 62 0. 0 + 8. 9 + 43. 73 0. 0 0. 0
46 0. 0 + 56.130 0. 0 - 1. 0 - 73. 71 0. 0 0. 0
47 0. 0 - 7.136 0. 0 + 16. 17 + 16.130 0. 0 0. 0
48 0. 0 - 15. 0 0. 0 - 2. 0 - 17. 30 0. 0 0. 0
49 0. 0 - 15. 18 0. 0 + 32. 33 - 15. 78 0. 0 0. 0
50 0. 0 - 30. 3 0. 0 - 4. 0 - 22.123 0. 0 0. 0
51 0. 0 - 30. 41 0. 0 + 64. 65 + 95.106 0. 0 0. 0
52 0. 0 - 60. 15 0. 0 - 8. 0 + 50. 18 0. 0 0. 0
53 0. 0 - 60. 99 0. 0 -127.129 - 79. 20 0. 0 0. 0
54 0. 0 -120. 63 0. 0 - 16. 0 + 96. 63 0. 0 0. 0
55 0. 0 -121. 7 0. 0 + 1. 0 - 5.136 0. 0 0. 0
56 0. 0 + 15. 3 0. 0 - 32. 0 - 79. 30 0. 0 0. 0
57 0. 0 + 12.243 0. 0 + 1.255 - 39. 14 0. 0 0. 0
58 0. 0 + 28. 4 0. 0 - 64. 0 + 35. 5 0. 0 0. 0
59 0. 0 + 21.228 0. 0 + 3.253 + 77.253 0. 0 0. 0
60 0. 0 + 48. 6 0. 0 -128. 0 + 72. 9 0. 0 0. 0
61 0. 0 + 27.198 0. 0 + 7.249 +108.185 0. 0 0. 0
62 0. 0 + 64. 10 0. 0 + 0. 2 -127.238 0. 0 0. 0
63 0. 0 - 8.119 0. 0 + 15.241 + 31.113 0. 0 0. 0




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