Таблица F4.A-1.5. Свертка 2-х векторов в (A-1)-арифметике

Таблица F4.A-1.5 Свертка 2-х векторов (r)X[t] и (r)H[t] длины T=16
в поле Галуа

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

в (A-1)-арифметике, T–1 = 1/T = 0'240. 0 = 61441
Результаты в (A-1)-арифметике в виде 17-битовых слов = ПСНВ+ mod F4, т.е. в диапазоне [ 0..+65536]

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' 0.191 = 192 0' 1.195 = 452 0' 0. 0 = 1 0' 0. 2 = 3 0' 5. 75 = 1356 0' 11.255 = 3072 0' 0.191 = 192
1 0' 0.127 = 128 0' 10.255 = 2816 0' 0. 1 = 2 0' 0. 8 = 9 0' 98.255 = 25344 0' 31.255 = 8192 0' 1.255 = 512
2 0' 0.131 = 132 0'140.191 = 36032 1' 0. 0 = 0 0' 0. 32 = 33 0' 36.173 = 9390 0' 24. 63 = 6208 0' 1.131 = 388
3 1' 0. 0 = 0 0' 96.183 = 24760 1' 0. 0 = 0 0' 0.128 = 129 0'188.135 = 48264 0' 16.127 = 4224 0' 1. 7 = 264
4 1' 0. 0 = 0 0'128. 59 = 32828 1' 0. 0 = 0 0' 2. 0 = 513 0'247. 59 = 63292 1' 0. 0 = 0 1' 0. 0 = 0
5 1' 0. 0 = 0 0'248.126 = 63615 1' 0. 0 = 0 0' 8. 0 = 2049 0'232.186 = 59579 1' 0. 0 = 0 1' 0. 0 = 0
6 1' 0. 0 = 0 0'124.184 = 31929 1' 0. 0 = 0 0' 32. 0 = 8193 0'141. 33 = 36130 1' 0. 0 = 0 1' 0. 0 = 0
7 1' 0. 0 = 0 0'192.168 = 49321 1' 0. 0 = 0 0'128. 0 = 32769 0'224. 84 = 57429 1' 0. 0 = 0 1' 0. 0 = 0
8 1' 0. 0 = 0 0' 0.195 = 196 1' 0. 0 = 0 0'255.255 = 2^16 0'255. 60 = 65341 1' 0. 0 = 0 1' 0. 0 = 0
9 1' 0. 0 = 0 0' 6.255 = 1792 1' 0. 0 = 0 0'255.249 = 65530 0'207. 0 = 52993 1' 0. 0 = 0 1' 0. 0 = 0
10 1' 0. 0 = 0 0'124.191 = 31936 1' 0. 0 = 0 0'255.225 = 65506 0'228.207 = 58576 1' 0. 0 = 0 1' 0. 0 = 0
11 1' 0. 0 = 0 0' 32.183 = 8376 1' 0. 0 = 0 0'255.129 = 65410 0'196.200 = 50377 1' 0. 0 = 0 1' 0. 0 = 0
12 1' 0. 0 = 0 0'128. 60 = 32829 1' 0. 0 = 0 0'254. 1 = 65026 0' 7. 60 = 1853 1' 0. 0 = 0 1' 0. 0 = 0
13 1' 0. 0 = 0 0'248.130 = 63619 1' 0. 0 = 0 0'248. 1 = 63490 0'232. 70 = 59463 1' 0. 0 = 0 1' 0. 0 = 0
14 1' 0. 0 = 0 0'124.200 = 31945 1' 0. 0 = 0 0'224. 1 = 57346 0'108. 97 = 27746 1' 0. 0 = 0 1' 0. 0 = 0
15 1' 0. 0 = 0 0'192.232 = 49385 1' 0. 0 = 0 0'128. 1 = 32770 0'161. 92 = 41309 1' 0. 0 = 0 1' 0. 0 = 0




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