On cross-ambiguity properties of welch-costas arrays

Svitislav V. Marić, Ivan Seskar, Edward L. Titlebaum

Research output: Contribution to journalArticlepeer-review

22 Scopus citations


We discuss cross-ambiguity properties of a specific family of Costas arrays called Welch-Costas (W-C) arrays. These properties are of interest in multiuser radar and sonar systems, especially since Costas arrays are known to possess ideal auto-ambiguity functions. The theory of W-C arrays is reviewed. It is then proved that only pairs of W-C arrays can have at most two hits in their cross-ambiguity function (best possible case). The maximum number of hits in the cross-ambiguity functions of a family of W-C arrays is shown to be a function of the number of W-C arrays in the family. The upper bound on the number of hits in the cross-ambiguity functions for a family of W-C arrays is also derived. Specific examples of how reducing the number of W-C arrays improves the cross-ambiguity properties are given for various types of prime numbers.

Original languageEnglish (US)
Pages (from-to)1063-1071
Number of pages9
JournalIEEE Transactions on Aerospace and Electronic Systems
Issue number4
StatePublished - Oct 1994

All Science Journal Classification (ASJC) codes

  • Aerospace Engineering
  • Electrical and Electronic Engineering


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