INFINITE FAMILIES OF PALEY SEQUENCES WITH OPTIMAL PAPR OF WALSH-HADAMARD SPECTRUM

Abstract

This paper is devoted to solution of the problem of reducing of PAPR of signals in a MC- CDMA systems by applying a constant amplitude codes (C-codes). Optimization of the choice of orthogonal transform matrix of the 28th order is performed. The distribution of the PAPR values of full code with respect to Walsh-Hadamard matrices of Paley and Williamson designs is built. Performed research shown the advantage of Walsh-Hadamard matrix of Paley design. A regular synthesis method of a complete class of J = 1456 sequences having the optimal PAPR value of Walsh-Hadamard spectrum of length N = 28 is developed. On the basis of the synthesized sequences we propose a recurrent synthesis method of sequenceshavingoptimalvalueofPAPR k=97»1,2857oflengths N=22k ×28,kkÎÎN.Thesynthesized sequences are applicable in existing wireless communication systems employing MC-CDMA technology as well as they can be the basis for further reseach of the structural properties of the sequences with minimum value of the PAPR of Walsh-Hadamard spectrum and development of the regular methods of their synthesis.