ANALYTICAL DESCRIPTION OF FULL REACTION OF ONE CLASSES BINARY 3D-MULTIDIMENSIONAL NONLINEAR MODULAR DYNAMIC SYSTEMS

Binary 3D -multidimensional modular dynamic system with fixed memory no and limited connection P = P x PZ, which the full reaction characterized by the following functional ratio, is considered: Here n Zo; c = (c c2), ci Z, i =1,2; p=(p p2)EP =Pix P2., Pi Z, i =1,2; y[n,c]eGFk (2) and u[n,c]eGFr (2); G{...} = (G1{0)T; GF(2) is finite field, GF k (2) and GF r (2) are k-dimensional and r-dimensional linear spaces respectively over the field GF(2). When F: = p1(r;)1, p,(1) <...< A(,), pi(j)e{, j i =1,2 formula (1) is written in the form: yv[n,ci,c2]=G, j[ +, 2 +p2]In no n, E Pi,p2 E P2, = GF (2), v =1,k. (2) Let's.n0+1},, j =1,r, =1,ro, += (3) Q(i,F1)= ft e {1r} H 712,1 # Q1(i,F,j)={e1c {1,o} H m #0}. (4) F (m) = = (-c(j, -c(j,))10 < < -c(j,) no}. (5) r(i,Fn)= n. (6) Using the fomnilas (3) (6) for the functional relation (1), it is obtained representation in the form of the following two -valued analogue of the Volterra's polynomial: yv[n,c] = + 1-1 n 11 u1 [n -c(j,a + p(a j)], i=1 rIlea(i)vcer(i,tri) leQOA cr,EQ10,ffl,l) 4,0, =1 (7) GF(2), v =1,...,k. For the functional relation (2) also representations in the form of a two -valued analogue of Volterra's polynomial are given. In the work with known values of the input and output sequences, the recurrence relations for finding the unknown coefficients in (7) are obtained.