Таблица F6.A-1.6. Свертка 2-х векторов в (A-1)-арифметике

Таблица F6.A-1.6 Свертка 2-х векторов (r)X[t] и (r)H[t] длины T=64
в поле Галуа

GF( 1 + 226 ) = GF( 1 + 264 ) = GF( F6 )

в (A-1)-арифметике, T–1 = 1/T 0'252. 0. 0. 0. 0. 0. 0. 0B = < -2^32
Результаты в (A-1)-арифметике в виде 65-битовых слов = ПСАНВ± mod F6, т.е.
в диапазоне [–263..+263]

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.  0.  0.  0.  0.  0.  1     0'  0.  0.  0.  0.  0.  0.  0. 17     0'  0.  0.  0.  0.  0.  0.  0.  0     0'  0.  0.  0.  0.  0.  0.  0.  2     0'  0.  0.  0.  0.  0.  0.  0. 53     0'  0.  0.  0.  0.  0.  0.  0.127     0'  0.  0.  0.  0.  0.  0.  0.  1
   1     0'  0.  0.  0.  0.  0.  0.  0. 14     0'  0.  0.  0.  0.  0.  0.  0. 77     0'  0.  0.  0.  0.  0.  0.  0.  1     0'  0.  0.  0.  0.  0.  0.  0.  8     0'  0.  0.  0.  0.  0.  0.  2.189     0'  0.  0.  0.  0.  0.  0.  4.191     0'  0.  0.  0.  0.  0.  0.  0. 18
   2     0'  0.  0.  0.  0.  0.  0.  0.  0     0'  0.  0.  0.  0.  0.  0.  1.241     1'  0.  0.  0.  0.  0.  0.  0.  0     0'  0.  0.  0.  0.  0.  0.  0. 32     0'  0.  0.  0.  0.  0.  0. 64. 49     0'  0.  0.  0.  0.  0.  0.  7.191     0'  0.  0.  0.  0.  0.  0.  0. 30
   3     1'  0.  0.  0.  0.  0.  0.  0.  0     0'  0.  0.  0.  0.  0.  0. 19.193     1'  0.  0.  0.  0.  0.  0.  0.  0     0'  0.  0.  0.  0.  0.  0.  0.128     0'  0.  0.  0.  0.  0.  9.244.193     0'  0.  0.  0.  0.  0.  0.  0.127     0'  0.  0.  0.  0.  0.  0.  0.  1
   4     1'  0.  0.  0.  0.  0.  0.  0.  0     0'  0.  0.  0.  0.  0.  1. 15.  1     1'  0.  0.  0.  0.  0.  0.  0.  0     0'  0.  0.  0.  0.  0.  0.  2.  0     0'  0.  0.  0.  0.  2. 31. 19.  1     1'  0.  0.  0.  0.  0.  0.  0.  0     1'  0.  0.  0.  0.  0.  0.  0.  0
   5     1'  0.  0.  0.  0.  0.  0.  0.  0     0'  0.  0.  0.  0.  0. 16. 60.  1     1'  0.  0.  0.  0.  0.  0.  0.  0     0'  0.  0.  0.  0.  0.  0.  8.  0     0'  0.  0.  0.  0.129.240. 76.  1     1'  0.  0.  0.  0.  0.  0.  0.  0     1'  0.  0.  0.  0.  0.  0.  0.  0
   6     1'  0.  0.  0.  0.  0.  0.  0.  0     0'  0.  0.  0.  0.  1.  0.240.  1     1'  0.  0.  0.  0.  0.  0.  0.  0     0'  0.  0.  0.  0.  0.  0. 32.  0     0'  0.  0.  0. 32. 31.  1. 48.  1     1'  0.  0.  0.  0.  0.  0.  0.  0     1'  0.  0.  0.  0.  0.  0.  0.  0
   7     1'  0.  0.  0.  0.  0.  0.  0.  0     0'  0.  0.  0.  0. 16.  3.192.  1     1'  0.  0.  0.  0.  0.  0.  0.  0     0'  0.  0.  0.  0.  0.  0.128.  0     0'  0.  0.  8.  1.240.  4.192.  1     1'  0.  0.  0.  0.  0.  0.  0.  0     1'  0.  0.  0.  0.  0.  0.  0.  0
   8     1'  0.  0.  0.  0.  0.  0.  0.  0     0'  0.  0.  0.  1.  0. 15.  0.  1     1'  0.  0.  0.  0.  0.  0.  0.  0     0'  0.  0.  0.  0.  0.  2.  0.  0     0'  0.  2.  0. 31.  0. 19.  0.  1     1'  0.  0.  0.  0.  0.  0.  0.  0     1'  0.  0.  0.  0.  0.  0.  0.  0
   9     1'  0.  0.  0.  0.  0.  0.  0.  0     0'  0.  0.  0. 16.  0. 60.  0.  1     1'  0.  0.  0.  0.  0.  0.  0.  0     0'  0.  0.  0.  0.  0.  8.  0.  0     0'  0.128.  1.240.  0. 76.  0.  1     1'  0.  0.  0.  0.  0.  0.  0.  0     1'  0.  0.  0.  0.  0.  0.  0.  0
  10     1'  0.  0.  0.  0.  0.  0.  0.  0     0'  0.  0.  1.  0.  0.240.  0.  1     1'  0.  0.  0.  0.  0.  0.  0.  0     0'  0.  0.  0.  0.  0. 32.  0.  0     0' 32.  0. 31.  0.  1. 48.  0.  1     1'  0.  0.  0.  0.  0.  0.  0.  0     1'  0.  0.  0.  0.  0.  0.  0.  0
  11     1'  0.  0.  0.  0.  0.  0.  0.  0     0'  0.  0. 16.  0.  3.192.  0.  1     1'  0.  0.  0.  0.  0.  0.  0.  0     0'  0.  0.  0.  0.  0.128.  0.  0     0'  0.  1.240.  0.  4.191.255.249     1'  0.  0.  0.  0.  0.  0.  0.  0     1'  0.  0.  0.  0.  0.  0.  0.  0
  12     1'  0.  0.  0.  0.  0.  0.  0.  0     0'  0.  1.  0.  0. 15.  0.  0.  1     1'  0.  0.  0.  0.  0.  0.  0.  0     0'  0.  0.  0.  0.  2.  0.  0.  0     0'  0. 31.  0.  0. 18.255.254.  1     1'  0.  0.  0.  0.  0.  0.  0.  0     1'  0.  0.  0.  0.  0.  0.  0.  0
  13     1'  0.  0.  0.  0.  0.  0.  0.  0     0'  0. 16.  0.  0. 60.  0.  0.  1     1'  0.  0.  0.  0.  0.  0.  0.  0     0'  0.  0.  0.  0.  8.  0.  0.  0     0'  1.240.  0.  0. 75.255.128.  1     1'  0.  0.  0.  0.  0.  0.  0.  0     1'  0.  0.  0.  0.  0.  0.  0.  0
  14     1'  0.  0.  0.  0.  0.  0.  0.  0     0'  1.  0.  0.  0.240.  0.  0.  1     1'  0.  0.  0.  0.  0.  0.  0.  0     0'  0.  0.  0.  0. 32.  0.  0.  0     0' 31.  0.  0.  1. 47.224.  0.  1     1'  0.  0.  0.  0.  0.  0.  0.  0     1'  0.  0.  0.  0.  0.  0.  0.  0
  15     1'  0.  0.  0.  0.  0.  0.  0.  0     0' 16.  0.  0.  3.192.  0.  0.  1     1'  0.  0.  0.  0.  0.  0.  0.  0     0'  0.  0.  0.  0.128.  0.  0.  0     0'240.  0.  0.  4.184.  0.  0.  0     1'  0.  0.  0.  0.  0.  0.  0.  0     1'  0.  0.  0.  0.  0.  0.  0.  0
  16     1'  0.  0.  0.  0.  0.  0.  0.  0     0'  0.  0.  0. 15.  0.  0.  0.  0     1'  0.  0.  0.  0.  0.  0.  0.  0     0'  0.  0.  0.  2.  0.  0.  0.  0     0'  0.  0.  0. 16.255.255.255.226     1'  0.  0.  0.  0.  0.  0.  0.  0     1'  0.  0.  0.  0.  0.  0.  0.  0
  17     1'  0.  0.  0.  0.  0.  0.  0.  0     0'  0.  0.  0. 59.255.255.255.241     1'  0.  0.  0.  0.  0.  0.  0.  0     0'  0.  0.  0.  8.  0.  0.  0.  0     0'255.255.255.203.255.255.254. 18     1'  0.  0.  0.  0.  0.  0.  0.  0     1'  0.  0.  0.  0.  0.  0.  0.  0
  18     1'  0.  0.  0.  0.  0.  0.  0.  0     0'  0.  0.  0.239.255.255.255.  1     1'  0.  0.  0.  0.  0.  0.  0.  0     0'  0.  0.  0. 32.  0.  0.  0.  0     0'255.255.225. 47.255.255.225.  2     1'  0.  0.  0.  0.  0.  0.  0.  0     1'  0.  0.  0.  0.  0.  0.  0.  0
  19     1'  0.  0.  0.  0.  0.  0.  0.  0     0'  0.  0.  3.191.255.255.240.  1     1'  0.  0.  0.  0.  0.  0.  0.  0     0'  0.  0.  0.128.  0.  0.  0.  0     0'255.248.  4.191.255.254. 16.  2     1'  0.  0.  0.  0.  0.  0.  0.  0     1'  0.  0.  0.  0.  0.  0.  0.  0
  20     1'  0.  0.  0.  0.  0.  0.  0.  0     0'  0.  0. 14.255.255.255.  0.  1     1'  0.  0.  0.  0.  0.  0.  0.  0     0'  0.  0.  2.  0.  0.  0.  0.  0     0'254.  0. 18.255.255.225.  0.  2     1'  0.  0.  0.  0.  0.  0.  0.  0     1'  0.  0.  0.  0.  0.  0.  0.  0
  21     1'  0.  0.  0.  0.  0.  0.  0.  0     0'  0.  0. 59.255.255.240.  0.  1     1'  0.  0.  0.  0.  0.  0.  0.  0     0'  0.  0.  8.  0.  0.  0.  0.  0     0'128.  0. 75.255.254. 16.  0.  2     1'  0.  0.  0.  0.  0.  0.  0.  0     1'  0.  0.  0.  0.  0.  0.  0.  0
  22     1'  0.  0.  0.  0.  0.  0.  0.  0     0'  0.  0.239.255.255.  0.  0.  1     1'  0.  0.  0.  0.  0.  0.  0.  0     0'  0.  0. 32.  0.  0.  0.  0.  0     0'  0.  1. 47.255.225.  0.  0. 33     1'  0.  0.  0.  0.  0.  0.  0.  0     1'  0.  0.  0.  0.  0.  0.  0.  0
  23     1'  0.  0.  0.  0.  0.  0.  0.  0     0'  0.  3.191.255.240.  0.  0.  1     1'  0.  0.  0.  0.  0.  0.  0.  0     0'  0.  0.128.  0.  0.  0.  0.  0     0'  0.  4.191.254. 16.  0.  8.  1     1'  0.  0.  0.  0.  0.  0.  0.  0     1'  0.  0.  0.  0.  0.  0.  0.  0
  24     1'  0.  0.  0.  0.  0.  0.  0.  0     0'  0. 14.255.255.  0.  0.  0.  1     1'  0.  0.  0.  0.  0.  0.  0.  0     0'  0.  2.  0.  0.  0.  0.  0.  0     0'  0. 18.255.225.  0.  2.  0.  1     1'  0.  0.  0.  0.  0.  0.  0.  0     1'  0.  0.  0.  0.  0.  0.  0.  0
  25     1'  0.  0.  0.  0.  0.  0.  0.  0     0'  0. 59.255.240.  0.  0.  0.  1     1'  0.  0.  0.  0.  0.  0.  0.  0     0'  0.  8.  0.  0.  0.  0.  0.  0     0'  0. 75.254. 16.  0.128.  0.  1     1'  0.  0.  0.  0.  0.  0.  0.  0     1'  0.  0.  0.  0.  0.  0.  0.  0
  26     1'  0.  0.  0.  0.  0.  0.  0.  0     0'  0.239.255.  0.  0.  0.  0.  1     1'  0.  0.  0.  0.  0.  0.  0.  0     0'  0. 32.  0.  0.  0.  0.  0.  0     0'  1. 47.225.  0. 32.  0.  0.  1     1'  0.  0.  0.  0.  0.  0.  0.  0     1'  0.  0.  0.  0.  0.  0.  0.  0
  27     1'  0.  0.  0.  0.  0.  0.  0.  0     0'  3.191.240.  0.  0.  0.  0.  1     1'  0.  0.  0.  0.  0.  0.  0.  0     0'  0.128.  0.  0.  0.  0.  0.  0     0'  4.190. 16.  8.  0.  0.  0.  1     1'  0.  0.  0.  0.  0.  0.  0.  0     1'  0.  0.  0.  0.  0.  0.  0.  0
  28     1'  0.  0.  0.  0.  0.  0.  0.  0     0' 14.255.  0.  0.  0.  0.  0.  1     1'  0.  0.  0.  0.  0.  0.  0.  0     0'  2.  0.  0.  0.  0.  0.  0.  0     0' 18.225.  2.  0.  0.  0.  0.  1     1'  0.  0.  0.  0.  0.  0.  0.  0     1'  0.  0.  0.  0.  0.  0.  0.  0
  29     1'  0.  0.  0.  0.  0.  0.  0.  0     0' 59.240.  0.  0.  0.  0.  0.  1     1'  0.  0.  0.  0.  0.  0.  0.  0     0'  8.  0.  0.  0.  0.  0.  0.  0     0' 74. 16.128.  0.  0.  0.  0.  1     1'  0.  0.  0.  0.  0.  0.  0.  0     1'  0.  0.  0.  0.  0.  0.  0.  0
  30     1'  0.  0.  0.  0.  0.  0.  0.  0     0'239.  0.  0.  0.  0.  0.  0.  1     1'  0.  0.  0.  0.  0.  0.  0.  0     0' 32.  0.  0.  0.  0.  0.  0.  0     0' 17. 32.  0.  0.  0.  0.  0.  0     1'  0.  0.  0.  0.  0.  0.  0.  0     1'  0.  0.  0.  0.  0.  0.  0.  0
  31     1'  0.  0.  0.  0.  0.  0.  0.  0     0'175.255.255.255.255.255.255.254     1'  0.  0.  0.  0.  0.  0.  0.  0     0'128.  0.  0.  0.  0.  0.  0.  0     0'215.255.255.255.255.255.255.255     1'  0.  0.  0.  0.  0.  0.  0.  0     1'  0.  0.  0.  0.  0.  0.  0.  0
  32     1'  0.  0.  0.  0.  0.  0.  0.  0     0'255.255.255.255.255.255.255.244     1'  0.  0.  0.  0.  0.  0.  0.  0     0'255.255.255.255.255.255.255.255     0'  0.  0.  0.  0.  0.  0.  0. 11     1'  0.  0.  0.  0.  0.  0.  0.  0     1'  0.  0.  0.  0.  0.  0.  0.  0
  33     1'  0.  0.  0.  0.  0.  0.  0.  0     0'255.255.255.255.255.255.255.214     1'  0.  0.  0.  0.  0.  0.  0.  0     0'255.255.255.255.255.255.255.249     0'  0.  0.  0.  0.  0.  0.  1. 37     1'  0.  0.  0.  0.  0.  0.  0.  0     1'  0.  0.  0.  0.  0.  0.  0.  0
  34     1'  0.  0.  0.  0.  0.  0.  0.  0     0'  0.  0.  0.  0.  0.  0.  0. 17     1'  0.  0.  0.  0.  0.  0.  0.  0     0'255.255.255.255.255.255.255.225     0'255.255.255.255.255.255.253.210     1'  0.  0.  0.  0.  0.  0.  0.  0     1'  0.  0.  0.  0.  0.  0.  0.  0
  35     1'  0.  0.  0.  0.  0.  0.  0.  0     0'  0.  0.  0.  0.  0.  0. 12. 65     1'  0.  0.  0.  0.  0.  0.  0.  0     0'255.255.255.255.255.255.255.129     0'255.255.255.255.255.249.235. 66     1'  0.  0.  0.  0.  0.  0.  0.  0     1'  0.  0.  0.  0.  0.  0.  0.  0
  36     1'  0.  0.  0.  0.  0.  0.  0.  0     0'  0.  0.  0.  0.  0.  0.241.  1     1'  0.  0.  0.  0.  0.  0.  0.  0     0'255.255.255.255.255.255.254.  1     0'255.255.255.255.254. 30.237.  2     1'  0.  0.  0.  0.  0.  0.  0.  0     1'  0.  0.  0.  0.  0.  0.  0.  0
  37     1'  0.  0.  0.  0.  0.  0.  0.  0     0'  0.  0.  0.  0.  0. 15.196.  1     1'  0.  0.  0.  0.  0.  0.  0.  0     0'255.255.255.255.255.255.248.  1     0'255.255.255.255.129.239.180.  2     1'  0.  0.  0.  0.  0.  0.  0.  0     1'  0.  0.  0.  0.  0.  0.  0.  0
  38     1'  0.  0.  0.  0.  0.  0.  0.  0     0'  0.  0.  0.  0.  0.255. 16.  1     1'  0.  0.  0.  0.  0.  0.  0.  0     0'255.255.255.255.255.255.224.  1     0'255.255.255.224. 30.254.208.  2     1'  0.  0.  0.  0.  0.  0.  0.  0     1'  0.  0.  0.  0.  0.  0.  0.  0
  39     1'  0.  0.  0.  0.  0.  0.  0.  0     0'  0.  0.  0.  0. 15.252. 64.  1     1'  0.  0.  0.  0.  0.  0.  0.  0     0'255.255.255.255.255.255.128.  1     0'255.255.248.  1.239.251. 64.  2     1'  0.  0.  0.  0.  0.  0.  0.  0     1'  0.  0.  0.  0.  0.  0.  0.  0
  40     1'  0.  0.  0.  0.  0.  0.  0.  0     0'  0.  0.  0.  0.255.241.  0.  1     1'  0.  0.  0.  0.  0.  0.  0.  0     0'255.255.255.255.255.254.  0.  1     0'255.254.  0. 30.255.237.  0.  2     1'  0.  0.  0.  0.  0.  0.  0.  0     1'  0.  0.  0.  0.  0.  0.  0.  0
  41     1'  0.  0.  0.  0.  0.  0.  0.  0     0'  0.  0.  0. 15.255.196.  0.  1     1'  0.  0.  0.  0.  0.  0.  0.  0     0'255.255.255.255.255.248.  0.  1     0'255.128.  1.239.255.180.  0.  2     1'  0.  0.  0.  0.  0.  0.  0.  0     1'  0.  0.  0.  0.  0.  0.  0.  0
  42     1'  0.  0.  0.  0.  0.  0.  0.  0     0'  0.  0.  0.255.255. 16.  0.  1     1'  0.  0.  0.  0.  0.  0.  0.  0     0'255.255.255.255.255.224.  0.  1     0'224.  0. 30.255.254.208.  0.  2     1'  0.  0.  0.  0.  0.  0.  0.  0     1'  0.  0.  0.  0.  0.  0.  0.  0
  43     1'  0.  0.  0.  0.  0.  0.  0.  0     0'  0.  0. 15.255.252. 64.  0.  1     1'  0.  0.  0.  0.  0.  0.  0.  0     0'255.255.255.255.255.128.  0.  1     0'  0.  1.239.255.251. 64.  0.  9     1'  0.  0.  0.  0.  0.  0.  0.  0     1'  0.  0.  0.  0.  0.  0.  0.  0
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© 2006 г., Александр Тимофеев, г.Харьков, Украина. E-mail: atimopheyev@yahoo.com