A Design of Communication Radar Integrated Signal of MCPC Based on Costas Coding

Wang, Zhi; Su, Yanyong; Cui, Zhuofu; Su, Xing

doi:10.1109/icivc47709.2019.8981001

Cited by 4 publications

(1 citation statement)

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“…Costas array is a permutation array, i.e., a square binary array with a single 1 per row and per column, with the property that the vectors joining pairs of 1's are all distinct, this being called the Costas condition [14] or Costas property [10]. Costas arrays are useful in many applications, especially in radar/sonar detection and wireless communications [4,13,19], and their study preserves contemporary validity as, to this day, their usefulness continues to find new applications [3,26,27,30]. Costas arrays have also been an interesting object for mathematical research, with researchers looking at usual mathematical questions of existence, distribution, structure, constructions, and generalizations [8,11].…”

Section: Introductionmentioning

confidence: 99%

Multidimensional Costas Arrays and Their Periodicity

Rubio¹,

Torres²

2022

Preprint

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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. In particular, it is shown that three-dimensional arrays with this property must have the least possible order; extending an analogous two-dimensional result by H. Taylor. Said result is conjectured to extend for Costas arrays of arbitrary dimensions.

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