Results 201 to 210 of about 663 (237)
ACM Transactions on Mathematical Software, 2011 A Costas array is an arrangement of N dots on an N -by- N grid, one per row, one per column, such that no two dots share the same displacement vector with any other pair.
Scott Rickard, Konstantinos Drakakis
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IEEE Transactions on Information Theory, 2007
The definition, the basic properties, and all the currently known systematic constructions for Costas arrays are presented, as well as a table of the number C(n) of Costas arrays of order n, for 2 les n les 26. It is proved that lim supnrarrinfin C(n) = infin, and the conjecture liminfnrarrinfin C(n) = 0 is discussed. A Costas array of order n is known
Guang Gong
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The definition, the basic properties, and all the currently known systematic constructions for Costas arrays are presented, as well as a table of the number C(n) of Costas arrays of order n, for 2 les n les 26. It is proved that lim supnrarrinfin C(n) = infin, and the conjecture liminfnrarrinfin C(n) = 0 is discussed. A Costas array of order n is known
Guang Gong
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Stochastic Search for Costas Arrays
2006 40th Annual Conference on Information Sciences and Systems, 2006 We present methods for searching for Costas arrays of arbitrary size starting from a random permutation matrix. The permutation is made ? more Costas? by swapping a small number of elements in the permutation so that number of repeated values within each line of the difference triangle is reduced.
Scott Rickard, John J. Healy
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ON THE DISJOINTNESS OF ALGEBRAICALLY CONSTRUCTED COSTAS ARRAYS
Journal of Algebra and Its Applications, 2011 Is it possible for a particular Costas array to be generated by two different constructions of the Golomb and Welch families? Experimental data suggests that this does not happen (except for trivially small orders), and a (partial) proof of this fact is offered herein through a case-by-case study of all possible pairs of constructions that can ...
Drakakis, Konstantinos +2 more
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Distance vectors in Costas arrays
2008 42nd Annual Conference on Information Sciences and Systems, 2008 We investigate the distance vectors contained in individual and in pairs of Costas arrays, and prove some rigorous results in the case of the algebraically constructed ones. Overall, it appears that the set with the property that every Costas array has a distance vector therein, or that every pair of Costas arrays with a common vector have a common ...
Konstantinos Drakakis +2 more
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Generating Costas Arrays to Order 200
2006 40th Annual Conference on Information Sciences and Systems, 2006Number-theoretic generators of Costas arrays and generalizations in the literature and some presented here produce 526,908 of the known 663,703 known Costas arrays for orders up to 200. For orders higher than seven, there are more Costas arrays than the generators produce.
James K Beard
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Constructions and properties of Costas arrays
Proceedings of the IEEE, 1984A Costas array is an n × n array of dots and blanks with exactly one dot in each row and column, and with distinct vector differences between all pairs of dots. As a frequency-hop pattern for radar or sonar, a Costas array has an optimum ambiguity function, since any translation of the array parallel to the coordinate axes produces at most one out-of ...
S.W. Golomb, H. Taylor
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The Density of Costas Arrays Decays Exponentially
IEEE Transactions on Information Theory, 2023Lutz Warnke +2 more
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Some results on the degrees of freedom of Costas arrays
2010 44th Annual Conference on Information Sciences and Systems (CISS), 2010We study the number of degrees of freedom of Costas arrays, and we find they are surprisingly few. We also prove partial results about Golomb and Welch Costas arrays, while, for the latter, we also make a curious observation.
Konstantinos Drakakis
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A new search method for costas arrays by using difference triangle analysis
, 2017 Costas arrays are used for constructing frequency sets for the frequency shift keying waveforms in low probability of intercept radars. Costas arrays are constructed mostly using the methods based on the finite field theory or they are found by ...
Erkan Afacan
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