New Classes of Optimal Variable-Weight Optical Orthogonal Codes Based on Cyclic Difference Families

作者:WU, Dianhua*; Fan, Pingzhi; Wang, Xun; Cheng, Minquan
来源:IEICE Transactions on Fundamentals of Electronics, Communications and Computer Sciences, 2010, E93A(11): 2232-2238.
DOI:10.1587/transfun.E93.A.2232

摘要

Variable weight optical orthogonal code (OOC) was introduced by G C Yang for multimedia optical CDMA systems with multiple quality of service (QoS) requirement. In this paper a construction for optimal (v {3 4} 1{s/(s+1) 1/(s+1)}) OOCs is given. For s = 2 it is proved that for each prime v 1 (mod 24) there exists a (v) {3 4} 1 (2/3 1/3}) OOC. A recursive construction for cyclic difference family is also presented. By using these constructions a number of new infinite classes of optimal (v {3 4} 1 Q) OOCs for Q = {1/2 1/2} and {2/3 1/3} are constructed.