## Abstract

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 posses 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 language | English (US) |
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Pages | 489-493 |

Number of pages | 5 |

State | Published - 1994 |

Externally published | Yes |

Event | Proceedings of the 1994 IEEE 3rd International Symposium on Spread Spectrum Techniques & Applications. Part 2 (of 2) - Oulu, Finl Duration: Jul 4 1994 → Jul 6 1994 |

### Other

Other | Proceedings of the 1994 IEEE 3rd International Symposium on Spread Spectrum Techniques & Applications. Part 2 (of 2) |
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City | Oulu, Finl |

Period | 7/4/94 → 7/6/94 |

## All Science Journal Classification (ASJC) codes

- Engineering(all)