Results 161 to 170 of about 441 (195)
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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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Journal of Electronics, 1992
Costas array is a class of radar signal array with perfect correlation property. An open problem about the limiting performance of the costas array (i.e. the Golomb-Taylor’s fifth conjecture) is solved in this paper.
Yang Yixian
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Costas array is a class of radar signal array with perfect correlation property. An open problem about the limiting performance of the costas array (i.e. the Golomb-Taylor’s fifth conjecture) is solved in this paper.
Yang Yixian
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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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Difference-based structural properties of costas arrays
Designs, Codes, and Cryptography, 2022zbMATH Open Web Interface contents unavailable due to conflicting licenses.
Bill Correll, Christopher N Swanson
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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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Parallel m-dimensional relative ant colony optimization (mDRACO) for the Costas-array problem
Soft Computing, 2022 The Costas-array problem is a combinatorial constraint-satisfaction problem (CSP) that remains unsolved for many array sizes greater than 30. In order to reduce the time required to solve large instances, we present an Ant Colony Optimization algorithm ...
David Vulakh, Raphaël Finkel
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Costas array generation and search methodology
IEEE Transactions on Aerospace and Electronic Systems, 2007 Costas arrays are permutation matrices that provide sequencing schemes for frequency hop in FSK waveforms. Such frequency-shift keying (FSK) waveforms can be designed to have nearly ideal ambiguity function properties in both the time and frequency ...
James K Beard
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The Deficiency of Costas Arrays
IEEE Transactions on Information Theory, 2014A Costas array is a permutation array in which the vectors joining pairs of 1s are all distinct. The toroidal vectors of a permutation array are the vectors occurring when the array is written on a torus, and the deficiency of a permutation array of order n is the number of toroidal vectors, out of the (n 1) 2 possible, which are missing from the ...
Jonathan Jedwab, Jane Wodlinger
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Stochastic Search for Costas Arrays
2006 40th Annual Conference on Information Sciences and Systems, 2006We 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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Distance vectors in Costas arrays
2008 42nd Annual Conference on Information Sciences and Systems, 2008We 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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