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pro vyhledávání: '"Konstantinos Drakakis"'
Autor:
Konstantinos Drakakis
Publikováno v:
Journal of Applied Mathematics, Vol 2010 (2010)
We study several criteria for the (non)linearity of Costas permutations, with or without the imposition of additional algebraic structure in the domain and the range of the permutation, aiming to find one that successfully identifies Costas permutati
Externí odkaz:
https://doaj.org/article/bd8497d017714fddadeadb6a99cb234f
Autor:
Konstantinos Drakakis
Publikováno v:
Journal of Probability and Statistics, Vol 2010 (2010)
In the game of Betweenies, the player is dealt two cards out of a deck and bets on the probability that the third card to be dealt will have a numerical value in between the values of the first two cards. In this work, we present the exact rules of t
Externí odkaz:
https://doaj.org/article/c995df96d2d54fa2b890a928b5ec2583
Autor:
Konstantinos Drakakis
Publikováno v:
Journal of Probability and Statistics, Vol 2010 (2010)
We study the mean earnings of a lottery winner as a function of the number 𝑛 of participants in the lottery and of the success probability 𝑝. We show, in particular, that, for fixed 𝑝, there exists an optimal value of 𝑛 where the mean ear
Externí odkaz:
https://doaj.org/article/2a0a0220525f45eca1581d0f6cc93226
Autor:
Konstantinos Drakakis
Publikováno v:
Abstract and Applied Analysis, Vol 2009 (2009)
We abstract the definition of the Costas property in the context of a group and study specifically dense Costas sets (named Costas clouds) in groups with the topological property that they are dense in themselves: as a result, we prove the existence
Externí odkaz:
https://doaj.org/article/904b580805f040bfa6da146dd1321dea
Autor:
Konstantinos Drakakis
Publikováno v:
Journal of Applied Mathematics, Vol 2006 (2006)
Costas arrays are not only useful in radar engineering, but they also present many interesting, and still open, mathematical problems. This work collects in it all important knowledge about them available today: some history of the subjects, density
Externí odkaz:
https://doaj.org/article/dce348356ff74f82bcfcf122428a2cd9
Publikováno v:
IEEE Transactions on Aerospace and Electronic Systems. 49:1995-2004
In this work we consider the impact of the number of hops of a frequency hopped code on the auto-correlation surface it produces. The analysis focuses on Costas arrays, which are frequency hopped codes possessing ideal auto-correlation properties. Th
Publikováno v:
Signal Processing. 92:1961-1969
Towards developing a rigorous mathematical theory for Empirical Mode Decomposition (EMD), we provide an overview of the algorithm and introduce a corresponding operator, attempting a preliminary study. We prove that the EMD is nonlinear, we identify
Publikováno v:
IEEE Transactions on Information Theory. 58:6047-6053
The triple autocorrelation of a sequence is shown to be a Lempel Costas array iff the sequence is maximal, assuming correlation is appropriately defined and the alphabet of the sequence is of prime size. A method that allows the construction of thumb
Publikováno v:
Advances in Mathematics of Communications. 5:547-553
The results of the enumeration of Costas arrays of order 29 are presented: except for 16 arrays out of a total of 164, all other arrays found are accounted for by the Golomb and Welch construction methods. These 16 arrays, however, cannot be consider
Autor:
Konstantinos Drakakis
Publikováno v:
Advances in Mathematics of Communications. 5:435-448
The number of degrees of freedom of Costas permutations is considered, and found to be surprisingly small, while partial results about the degrees of freedom of Golomb and Welch Costas permutations are proved. For Golomb Costas permutations, in parti