On the covariance function of stationary binary sequences with given mean

  • Authors:
  • K. X. Karakostas;H. P. Wynn

  • Affiliations:
  • Dept. of Math., Ioannina Univ.;-

  • Venue:
  • IEEE Transactions on Information Theory
  • Year:
  • 2006

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Abstract

Recent work on characterizing the covariance functions of stationary binary sequences has been geometric in flavor. Extreme distributions induced in windows of a given length are obtained from special periodic sequences. The work is extended to sequences with a given mean m, revealing some finer structure