Two-dimensional patterns with optimal auto-and cross-correlation functions

Hong Y. Song, Solomon W. Golomb

Research output: Chapter in Book/Report/Conference proceedingConference contribution

4 Citations (Scopus)

Abstract

We consider a set of sonar arrays of the same size with an additional constraint that the non-periodic two-dimensional cross-correlation value for any two distinct arrays is limited to either 1 or O. These find applications in various multiuser communication systems such as multiuser radar and sonar systems and/or fiber-optic CDMA networks. We define an optimal pair of sonar arrays to be a pair of sonar arrays having an ideal cross-correlation function and having the minimum possible number of columns for a fixed number of rows. We first prove that an optimal pair having a rows can have at most n columns.

Original languageEnglish
Title of host publicationProceedings - 1994 IEEE International Symposium on Information Theory, ISIT 1994
Number of pages1
DOIs
Publication statusPublished - 1994 Dec 1
Event1994 IEEE International Symposium on Information Theory, ISIT 1994 - Trondheim, Norway
Duration: 1994 Jun 271994 Jul 1

Publication series

NameIEEE International Symposium on Information Theory - Proceedings
ISSN (Print)2157-8095

Other

Other1994 IEEE International Symposium on Information Theory, ISIT 1994
CountryNorway
CityTrondheim
Period94/6/2794/7/1

All Science Journal Classification (ASJC) codes

  • Theoretical Computer Science
  • Information Systems
  • Modelling and Simulation
  • Applied Mathematics

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    Song, H. Y., & Golomb, S. W. (1994). Two-dimensional patterns with optimal auto-and cross-correlation functions. In Proceedings - 1994 IEEE International Symposium on Information Theory, ISIT 1994 [394656] (IEEE International Symposium on Information Theory - Proceedings). https://doi.org/10.1109/ISIT.1994.394656