Construction of Space/Wavelength/Time Spread Optical Code with Large Family Size

Using two kinds of combinatorial designs, namely orthogonal array and r-simple matrix, as building blocks, a novel construction for three-dimensional single-pulse-per-plane codes (3-D SPPCs), spreading over space, wavelength and time, is presented. The new construction is more flexible than existing...

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Bibliographic Details
Published in:IEEE communications letters 2012-06, Vol.16 (6), p.893-896
Main Authors: Xiyang Li, Pingzhi Fan, Shum, K. W.
Format: Article
Language:English
Subjects:
Applied sciences
Arrays
Asymptotic properties
Bit error rate
Coding, codes
Combinatorial analysis
Construction
Exact sciences and technology
Information, signal and communications theory
Multiaccess communication
Optical code division multiple access
Optical fiber networks
optical orthogonal codes
Optical polarization
Optical pulses
Optical receivers
Optimization
orthogonal array
Orthogonal arrays
r-simple matrix
Signal and communications theory
single-pulse-per-plane codes
Spreading
Systems, networks and services of telecommunications
Telecommunications
Telecommunications and information theory
Three dimensional
Transmission and modulation (techniques and equipments)
Wavelengths
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Description
Summary:Using two kinds of combinatorial designs, namely orthogonal array and r-simple matrix, as building blocks, a novel construction for three-dimensional single-pulse-per-plane codes (3-D SPPCs), spreading over space, wavelength and time, is presented. The new construction is more flexible than existing constructions. In the literature, previously presented constructions of 3-D SPPCs have maximum Hamming cross-correlation equal to one. The new constructions can have maximal Hamming cross-correlation larger than or equal to one. By comparing with an upper bound on the number of codewords, it is shown that some of the 3-D SPPCs obtained by this construction are asymptotically optimal.
ISSN:1089-7798
1558-2558
DOI:10.1109/LCOMM.2012.040912.112296