Таблица F5.A-1.6. Свертка 2-х векторов в (A-1)-арифметике

Таблица F5.A-1.6 Свертка 2-х векторов (r)X[t] и (r)H[t] длины T=16
в поле Галуа

GF( 1 + 225 ) = GF( 1 + 232 ) = 4294967297 = GF( F5 )

в (A-1)-арифметике, T^–1 = 1/T = 0'240. 0. 0. 0B = -268435457
Результаты в (A-1)-арифметике в виде 33-битовых слов = ПСАНВ± mod F5, т.е.
в диапазоне [–231..+231]

(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.  0.191     0'  0.  0.  1.195     0'  0.  0.  0.  0     0'  0.  0.  0.  2     0'  0.  0.  5. 75     0'  0.  0. 11.255     0'  0.  0.  0.191
   1     0'  0.  0.  0.127     0'  0.  0.140.191     0'  0.  0.  0.  1     0'  0.  0.  0. 32     0'  0. 18. 36.191     0'  0.  0. 31.255     0'  0.  0.  1.255
   2     0'  0.  0.  0.131     0'  0.132.128.191     1'  0.  0.  0.  0     0'  0.  0.  2.  0     0'  9.134.  0.190     0'  0.  0. 24. 63     0'  0.  0.  1.131
   3     1'  0.  0.  0.  0     0'132.  8.  0.191     1'  0.  0.  0.  0     0'  0.  0. 32.  0     0'132. 31.240. 62     0'  0.  0. 16.127     0'  0.  0.  1.  7
   4     1'  0.  0.  0.  0     0'  0.128.  0. 59     1'  0.  0.  0.  0     0'  0.  2.  0.  0     0'  0.247.255. 59     1'  0.  0.  0.  0     1'  0.  0.  0.  0
   5     1'  0.  0.  0.  0     0'  7.255.124.191     1'  0.  0.  0.  0     0'  0. 32.  0.  0     0'159.254.124.208     1'  0.  0.  0.  0     1'  0.  0.  0.  0
   6     1'  0.  0.  0.  0     0'127.124.  0.191     1'  0.  0.  0.  0     0'  2.  0.  0.  0     0'254.125.  8.190     1'  0.  0.  0.  0     1'  0.  0.  0.  0
   7     1'  0.  0.  0.  0     0'124.  0.  0.184     1'  0.  0.  0.  0     0' 32.  0.  0.  0     0'140.128.  0.161     1'  0.  0.  0.  0     1'  0.  0.  0.  0
   8     1'  0.  0.  0.  0     0'  0.  0.  0.195     1'  0.  0.  0.  0     0'255.255.255.255     0'255.255.255. 60     1'  0.  0.  0.  0     1'  0.  0.  0.  0
   9     1'  0.  0.  0.  0     0'  0.  0.124.191     1'  0.  0.  0.  0     0'255.255.255.225     0'255.240.228.192     1'  0.  0.  0.  0     1'  0.  0.  0.  0
  10     1'  0.  0.  0.  0     0'  0.131.128.191     1'  0.  0.  0.  0     0'255.255.254.  1     0'249.130.  0.193     1'  0.  0.  0.  0     1'  0.  0.  0.  0
  11     1'  0.  0.  0.  0     0'131.248.  0.191     1'  0.  0.  0.  0     0'255.255.224.  1     0'131.224. 17. 62     1'  0.  0.  0.  0     1'  0.  0.  0.  0
  12     1'  0.  0.  0.  0     0'255.128.  0. 60     1'  0.  0.  0.  0     0'255.254.  0.  1     0'255.  7.255. 60     1'  0.  0.  0.  0     1'  0.  0.  0.  0
  13     1'  0.  0.  0.  0     0'247.255.124.192     1'  0.  0.  0.  0     0'255.224.  0.  1     0' 95.254.124.175     1'  0.  0.  0.  0     1'  0.  0.  0.  0
  14     1'  0.  0.  0.  0     0'127.124.  0.192     1'  0.  0.  0.  0     0'254.  0.  0.  1     0'254.122.248.194     1'  0.  0.  0.  0     1'  0.  0.  0.  0
  15     1'  0.  0.  0.  0     0'124.  0.  0.200     1'  0.  0.  0.  0     0'224.  0.  0.  1     0'107.128.  0.225     1'  0.  0.  0.  0     1'  0.  0.  0.  0