Spectral Classification and Multiplicative Partitioning of Constant-Weight Sequences Based on Circulant Matrix Representation of Optical Orthogonal Codes

@article{AlemKarladani2010SpectralCA,
  title={Spectral Classification and Multiplicative Partitioning of Constant-Weight Sequences Based on Circulant Matrix Representation of Optical Orthogonal Codes},
  author={Mohammad M. Alem-Karladani and Jawad A. Salehi},
  journal={IEEE Transactions on Information Theory},
  year={2010},
  volume={56},
  pages={4659-4667}
}
Considering the space of constant-weight sequences as the reference set for every optical orthogonal code (OOC) design algorithm, we propose a classification method that preserves the correlation properties of sequences. First, we introduce the circulant matrix representation of optical orthogonal codes and, based on the spectrum of circulant matrices, we define the spectral classification of the set Sn,w of all (0, 1)-sequences with length n, weight w, and the first chip “1”. Then, as a method… CONTINUE READING

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