In this paper, we consider requirement-driven selection of Costas arrays for the detection of
closely spaced targets. We review existing order selection strategies in terms of the time …

Costas arrays are useful in radar and sonar engineering, and many other settings in which
optimal 2-D autocorrelation is needed: they are permutation matrices in which the vectors …

We present new structural properties about Costas arrays. Building on our 2018 RadarConf
paper, we provide new conjectures and results pertaining to the differences of the elements …

We prove a new structural property of Costas arrays by establishing bounds on the number
of positive entries in the top third of the rows of the difference triangle of a Costas array …

In this paper we consider requirements-driven selection of Costas arrays for detection of
closely-spaced targets. We review order selection strategies and treat selection of specific …

A Costas array of order $ n $ is an $ n\times n $ permutation matrix such that all vectors
between pairs of ones are distinct. Thus, a permutation matrix fails to be a Costas array if …

For a permutation π, and the corresponding permutation matrix, we introduce the notion of
discrete derivative, obtained by taking differences of successive entries in π. We …