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A multi-dimensional block-circulant perfect array construction
School of Mathematical Sciences, Monash University, Building 20, Clayton Campus, Victoria, Australia 3800 |
We present an N-dimensional generalisation of the two-dimensional block-circulant perfect array construction by Blake et al. As in Blake et al, the families of N-dimensional arrays possess pairwise good zero correlation zone (ZCZ) cross-correlation. Both constructions use a perfect autocorrelation sequence with the array orthogonality property (AOP).
References:
| [1] |
S. Blake, T. E. Hall and A. Z. Tirkel,
Arrays over roots of unity with perfect autocorrelation and good ZCZ cross-correlation, Adv. Math. Commun., 7 (2013), 231-242.
doi: 10.3934/amc.2013.7.231. |
| [2] |
W. H. Mow, A Study of Correlation of Sequences, Ph. D thesis, The Chinese University of Hong Kong, 1993. |
show all references
References:
| [1] |
S. Blake, T. E. Hall and A. Z. Tirkel,
Arrays over roots of unity with perfect autocorrelation and good ZCZ cross-correlation, Adv. Math. Commun., 7 (2013), 231-242.
doi: 10.3934/amc.2013.7.231. |
| [2] |
W. H. Mow, A Study of Correlation of Sequences, Ph. D thesis, The Chinese University of Hong Kong, 1993. |
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