ISSN: 2250-3005 - ijcer

International Journal Of Computational Engineering Research (ijceronline.com) Vol. 2 Issue. 8V 0 C 0,1VV 1C 1,1 ...V 3 C 3,1 C 3,2 C 3,3 ... C 3,z3C 1,2 C 1,3 C 1,z1V 2 C 2,1 C 2,2 C 2,3 ... C 2,z2S 1S 2S 3S......WV MC M,1 C M,2 C M,3 ... C M,zlS MV M+1...CM+1,1 CM+1,2 CM+1,3CM+1, zl+1...V LC L,1 C L,2 C L,3 ... C L,zLFig.1. Scheme of nonzero cyclic orbits’ section of a group code for the formation of an assembly of discrete signalsS 1 2 SM, where Sv C v, u , v 1,..., M , and the selection ofan index u with appropriate C is determined by the rule of section of the v-th cyclic group code orbit.Representatives of the orbits of the selected form the set S,S ,..., v, uLet’s consider the binary case, i.e. restrict ourselves to the properties of the set S S,S ,..., 1 2 SM, formed by the section of thev vcircular orbits of binary group code. The elements of the formed of discrete sequences (digital signals) S s,s ,... s v,uv 1, c let’s define the elements of the selected code words (the leaders of the orbits) as follows:i1;si v, u 1,ci 0.Let’s suppose that the considered (n, k, d) code V has a weight spectrum of: A(0) 1;A(1) 0;A(2) 0;...A(d 1) 0;(1)A(d);A(d 1);... A(n).w 0,...,n , where A w– the number of code words in the code V with the weight w .Then the set of digital signals S S1 ,S2,...,SM formed by the section of cyclic orbits of code V , has correlation andassembly properties, corresponding to the following statement [1 – 4].Statement1. Side lobes of the periodic function of auto – (PFAC) and mutual – (PFMC) correlation signals’ assemblyS S ,S ,..., have the following values:1 2 SMfor those w d, d 1,...,n,that A(w) 0 .n 2wPFMC, PFAC ,(2)n2. For all such w d,d 1,...,n , that A(w) 0 the side lobes and PFAC and PFMC will never ben 2w.nv01vn 1||Issn 2250-3005(online)|| ||December||2012|| Page 238