Name
Abstract | ||
|---|---|---|
We extend the definition of the Costas property to functions in the continuum, namely on intervals of the reals or the rationals, and argue that such functions can be used in the same applications as discrete Costas arrays. We construct Costas bijections in the real continuum within the class of piecewise continuously differentiable functions; over the rationals we propose a non-smooth construction of great generality and flexibility whose success, though, relies heavily on their enumerability, and therefore cannot be generalized over the reals in an obvious way. |
Year | DOI | Venue |
|---|---|---|
2008 | 10.1109/CISS.2008.4558706 | 2008 42ND ANNUAL CONFERENCE ON INFORMATION SCIENCES AND SYSTEMS, VOLS 1-3 |
Keywords | Field | DocType |
correlation,writing,frequency,radar,galois fields,mathematics,cost benefit analysis,construction industry,statistics,finite element methods,autocorrelation,user centered design,mechanical engineering | Discrete mathematics,Rational number,Finite field,Permutation,Pure mathematics,Bijection, injection and surjection,Costas array,Smoothness,Generality,Piecewise,Mathematics | Conference |
Citations | PageRank | References |
1 | 0.41 | 4 |
Authors | ||
2 | ||
Name | Order | Citations | PageRank |
|---|---|---|---|
| Konstantinos Drakakis | 1 | 78 | 8.09 |
| Scott Rickard | 2 | 149 | 13.09 |