Results 1 to 10 of about 441 (195)
Multidimensional Costas Arrays and Their Periodicity
IEEE Transactions on Information Theory, 2023 A novel higher-dimensional definition for Costas arrays is introduced. This definition works for arbitrary dimensions and avoids some limitations of previous definitions. Some non-existence results are presented for multidimensional Costas arrays preserving the Costas condition when the array is extended periodically throughout the whole space.
Ivelisse M Rubio
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Tx/Rx: Generation and Correlation of aCostas Array FM CodeUsing FPGA Spatran-3 Technology [PDF]
Engineering and Technology Journal, 2012 This paper describes a real time generation and correlation of Costas array FM code pulse compression using Field Programmable Gate Array (FPGA) for implementation, which provides the flexibility, reconfigure ability and reprogram ability.
Thamir R. Saeed
doaj +2 more sources
A review of Costas arrays [PDF]
Journal of Applied Mathematics, 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 results, construction methods, construction algorithms with full proofs, and open questions. At the same
Drakakis, Konstantinos +1 more
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On the number of Costas arrays as a function of array size [PDF]
Proceedings of the IEEE, 1988 A conjecture that the number of Costas arrays is a monotonic increasing function of array size is disproved by extension of the known values to n=17. A probabilistic estimation formula is developed which predicts the peak at n=16 and tracks the known values to (typically) 5-6%. >
Silverman, J. +2 more
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Multidimensional Costas Arrays and Their Enumeration Using GPUs and FPGAs [PDF]
International Journal of Reconfigurable Computing, 2012 The enumeration of two-dimensional Costas arrays is a problem with factorial time complexity and has been solved for sizes up to 29 using computer clusters.
Rafael A. Arce-Nazario +1 more
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Structural properties of Costas arrays
Advances in Mathematics of Communications, 2014 zbMATH Open Web Interface contents unavailable due to conflicting licenses.
Jonathan Jedwab
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Parallel Local Search for the Costas Array Problem [PDF]
2012 IEEE 26th International Parallel and Distributed Processing Symposium Workshops & PhD Forum, 2012 The Costas Array Problem is a highly combinatorial problem linked to radar applications. We present in this paper its detailed modeling and solving by Adaptive Search, a constraint-based local search method. Experiments have been done on both sequential and parallel hardware up to several hundreds of cores.
Florian Richoux +2 more
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Improved arithmetic for generating Costas arrays using welch construction method
The Journal of Engineering, 2019 Costas arrays are widely used in radar waveform design, especially for frequency-coding signal design. Among all the construction methods, exhaustion method requires many calculations, making it time-consuming to generate Costas arrays with large orders.
Shuaixun Wang, Guoman Liu, Lin Han
doaj +1 more source
Interlaced Costas Arrays Do Not Exist [PDF]
Mathematical Problems in Engineering, 2008 We prove that the only Costas arrays that can be constructed by interlacing 2 Costas arrays of smaller orders (either equal or differing by 1) are those of order 2, and that, consequently, no non‐trivial Costas arrays result from this method.
Drakakis, Konstantinos +2 more
openaire +2 more sources