Таблица F4.A-1.6. Свертка 2-х векторов в (A-1)-арифметике

Таблица F4.A-1.6 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. 0B = -4097
Результаты в (A-1)-арифметике в виде 17-битовых слов = ПСАНВ± mod F4, т.е.
в диапазоне [–32768..+32768]

(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 =  -29506        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 =  -17274        0' 16.127 =    4224        0'  1.  7 =     264
   4     1'  0.  0 =       0        0'128. 59 =  -32710        1'  0.  0 =       0        0'  2.  0 =     513        0'247. 59 =   -2246        1'  0.  0 =       0        1'  0.  0 =       0
   5     1'  0.  0 =       0        0'248.126 =   -1923        1'  0.  0 =       0        0'  8.  0 =    2049        0'232.186 =   -5959        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 =  -29408        1'  0.  0 =       0        1'  0.  0 =       0
   7     1'  0.  0 =       0        0'192.168 =  -16217        1'  0.  0 =       0        0'128.  0 =   32767        0'224. 84 =   -8109        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        0'255. 60 =    -197        1'  0.  0 =       0        1'  0.  0 =       0
   9     1'  0.  0 =       0        0'  6.255 =    1792        1'  0.  0 =       0        0'255.249 =      -8        0'207.  0 =  -12545        1'  0.  0 =       0        1'  0.  0 =       0
  10     1'  0.  0 =       0        0'124.191 =   31936        1'  0.  0 =       0        0'255.225 =     -32        0'228.207 =   -6962        1'  0.  0 =       0        1'  0.  0 =       0
  11     1'  0.  0 =       0        0' 32.183 =    8376        1'  0.  0 =       0        0'255.129 =    -128        0'196.200 =  -15161        1'  0.  0 =       0        1'  0.  0 =       0
  12     1'  0.  0 =       0        0'128. 60 =  -32709        1'  0.  0 =       0        0'254.  1 =    -512        0'  7. 60 =    1853        1'  0.  0 =       0        1'  0.  0 =       0
  13     1'  0.  0 =       0        0'248.130 =   -1919        1'  0.  0 =       0        0'248.  1 =   -2048        0'232. 70 =   -6075        1'  0.  0 =       0        1'  0.  0 =       0
  14     1'  0.  0 =       0        0'124.200 =   31945        1'  0.  0 =       0        0'224.  1 =   -8192        0'108. 97 =   27746        1'  0.  0 =       0        1'  0.  0 =       0
  15     1'  0.  0 =       0        0'192.232 =  -16153        1'  0.  0 =       0        0'128.  1 =  -32768        0'161. 92 =  -24229        1'  0.  0 =       0        1'  0.  0 =       0