Optimal Variable-Weight Optical Orthogonal Codes via Difference Packings

Author

Wu, Dianhua ; Zhao, Hengming ; Fan, Pingzhi ; Shinohara, Satoshi

Author_Institution

Keylab of Inf. Coding & Transm., Southwest Jiaotong Univ., Chengdu, China

Volume

56

Issue

8

fYear

2010

Firstpage

4053

Lastpage

4060

Abstract

Variable-weight optical orthogonal code (OOC) was introduced by Yang for multimedia optical CDMA systems with multiple quality of service (QoS) requirements. In this paper, the upper bound on the size of variable-weight OOCs is improved, a cyclic t-(v, W, λ, Q) packing is introduced to construct a variable-weight OOC, an upper bound for the number of blocks of t-(v, W, λ, Q) packings is obtained, and an equivalence between optimal cyclic packing and optimal variable-weight optical orthogonal code is established. Recursive constructions for optimal 2-CP(W, 1, Q;v)s are also presented. By using skew starters and these constructions, infinite classes of optimal (v, W, 1, {1/2, 1/2})-OOCs are obtained for W = {3, 4}, and {4, 5}.

Keywords

code division multiple access; multimedia communication; optical fibre networks; orthogonal codes; quality of service; multimedia optical CDMA systems; multiple QoS requirements; optimal cyclic packing; optimal variable-weight optical orthogonal codes; recursive constructions; skew starters; Bit error rate; Hamming weight; Mathematics; Multiaccess communication; Multimedia systems; Optical design; Optical feedback; Optical losses; Quality of service; Upper bound; Cyclic packing; optical orthogonal code; packing design; skew starter; variable-weight optical orthogonal code;

fLanguage

English

Journal_Title

Information Theory, IEEE Transactions on

Publisher

ieee

ISSN

0018-9448

Type

jour

DOI

10.1109/TIT.2010.2050927

Filename

5508638