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arXiv · 2602.03407

Universal Costas Matrices: Towards a General Framework for Costas Array Construction

Fatih Gulec·Vahid Abolghasemi
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Abstract

Costas arrays are a special type of permutation matrices with ideal autocorrelation and low cross-correlation properties, making them valuable for radar, wireless communication, and integrated sensing and communication applications. This paper presents a novel unified framework for analyzing and discovering new Costas arrays. We introduce Universal Costas Matrices (UCMs) and Universal Costas Frequency Matrices (UCFMs) and investigate their structural characteristics. A framework integrating UCMs and UCFMs is proposed to pave the way for future artificial intelligence-assisted Costas array discovery. Leveraging the structural properties of UCMs and UCFMs, a reconstruction-based search method is developed to generate UCMs from UCFMs. Numerical results demonstrate that the proposed approach significantly accelerates the search process and enhances structural insight into Costas array generation.

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Fatih Gulec, Vahid Abolghasemi. 2026-02-03. Universal Costas Matrices: Towards a General Framework for Costas Array Construction. https://arxiv.org/abs/2602.03407

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