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=32
в поле Галуа

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

в (A-1)-арифметике, T–1 = 1/T = - 8. 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. 64 + 0. 2
1 + 0. 15 + 0. 36 + 0. 2 + 0. 5 + 0.180 + 2. 96 + 0. 19
2 + 0. 1 + 0. 78 0. 0 + 0. 9 + 2.190 + 3.224 + 0. 31
3 0. 0 + 0.186 0. 0 + 0. 17 + 12. 90 + 0. 64 + 0. 2
4 0. 0 + 1.242 0. 0 + 0. 33 + 64. 50 0. 0 0. 0
5 0. 0 + 5.226 0. 0 + 0. 65 +126. 97 0. 0 0. 0
6 0. 0 + 19.194 0. 0 + 0.129 - 11. 73 0. 0 0. 0
7 0. 0 + 71.130 0. 0 + 1. 1 - 54.199 0. 0 0. 0
8 0. 0 + 15. 1 0. 0 + 2. 1 + 16.227 0. 0 0. 0
9 0. 0 + 29.254 0. 0 + 4. 1 + 21.134 0. 0 0. 0
10 0. 0 + 59.242 0. 0 + 8. 1 - 53.239 0. 0 0. 0
11 0. 0 +119.194 0. 0 + 16. 1 -111.188 0. 0 0. 0
12 0. 0 - 17. 0 0. 0 + 32. 1 + 17. 33 0. 0 0. 0
13 0. 0 - 36. 1 0. 0 + 64. 1 - 27. 1 0. 0 0. 0
14 0. 0 - 80. 3 0. 0 -128. 1 - 40. 2 0. 0 0. 0
15 0. 0 + 63.251 0. 0 0. 0 0. 0 0. 0 0. 0
16 0. 0 - 0. 13 0. 0 - 0. 2 + 0. 12 0. 0 0. 0
17 0. 0 - 0. 25 0. 0 - 0. 4 + 0. 72 0. 0 0. 0
18 0. 0 - 0. 43 0. 0 - 0. 8 + 1. 38 0. 0 0. 0
19 0. 0 - 0. 55 0. 0 - 0. 16 + 3. 42 0. 0 0. 0
20 0. 0 + 0. 18 0. 0 - 0. 32 - 2. 47 0. 0 0. 0
21 0. 0 + 2. 34 0. 0 - 0. 64 +121.163 0. 0 0. 0
22 0. 0 + 12. 66 0. 0 - 0.128 - 20.185 0. 0 0. 0
23 0. 0 + 56.130 0. 0 - 1. 0 - 73. 71 0. 0 0. 0
24 0. 0 - 15. 0 0. 0 - 2. 0 - 17. 30 0. 0 0. 0
25 0. 0 - 30. 3 0. 0 - 4. 0 - 22.123 0. 0 0. 0
26 0. 0 - 60. 15 0. 0 - 8. 0 + 50. 18 0. 0 0. 0
27 0. 0 -120. 63 0. 0 - 16. 0 + 96. 63 0. 0 0. 0
28 0. 0 + 15. 3 0. 0 - 32. 0 - 79. 30 0. 0 0. 0
29 0. 0 + 28. 4 0. 0 - 64. 0 + 35. 5 0. 0 0. 0
30 0. 0 + 48. 6 0. 0 -128. 0 + 72. 9 0. 0 0. 0
31 0. 0 + 64. 10 0. 0 + 0. 2 -127.238 0. 0 0. 0




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