Name
Abstract | ||
|---|---|---|
Yang and Fuja [1] presented constructions of codes with unequal correlation constraints (λc a). And specifically they have constructions for the case where λa = 2 λc = 1. In their work they argue that it is important to make the cross-correlation (λc) as small as possible, and not necessarily λa = λc. In this work we present a method to generate new Yang-Fuja type families with correlation constraints where λc a. In [12], [10], [9] we presented a method to increase the size of a family of a double periodic sequence with Optical Orthogonal Code (OOC) length n = mp where m = p - 1, and p is a prime. In this work we present a new method that increases the size of a family of double periodic sequences without the restriction on m, we present a method to increase the weight of a double periodic array, and then combine both methods to produce Yang-Fuja type families of double periodic arrays with λc a. One of our main results is a theorem (Theorem 3, Section IV) that estimates λc. With this theorem we obtain two new constructions of Optical Orthogonal Codes with λc a. |
Year | DOI | Venue |
|---|---|---|
2009 | 10.1109/ISIT.2009.5205924 | ISIT'09 Proceedings of the 2009 IEEE international conference on Symposium on Information Theory - Volume 1 |
Keywords | Field | DocType |
unequal auto,Yang-Fuja type family,Optical Orthogonal Code,double periodic array,unequal correlation constraint,new Yang-Fuja type family,cross-correlation constraint,correlation constraint,Optical Orthogonal Codes,new method,double periodic sequence,new construction | Cross-correlation,Discrete mathematics,Combinatorics,Digital watermarking,Optical correlation,Image processing,Construction industry,Correlation,Mathematics | Conference |
Citations | PageRank | References |
1 | 0.38 | 11 |
Authors | ||
2 | ||
Name | Order | Citations | PageRank |
|---|---|---|---|
| José R. Ortiz-Ubarri | 1 | 22 | 4.28 |
| Oscar Moreno | 2 | 19 | 2.83 |