On the optimality of extended maximal length linear feedback shift register sequences

Research output: Contribution to journalArticlepeer-review

9 Scopus citations

Abstract

Maximal length linear feedback shift register sequences (or m-sequences) are widely used as experimental designs for functional magnetic resonance imaging (fMRI) experiments. However, the statistical optimality of these designs has not been proven. Here, we present and study an extended version of m-sequences and show that these designs are optimal.

Original languageEnglish (US)
Pages (from-to)1479-1483
Number of pages5
JournalStatistics and Probability Letters
Volume83
Issue number6
DOIs
StatePublished - Jun 1 2013

Keywords

  • De Bruijn sequences
  • Functional MRI
  • M-sequences
  • Optimal experimental designs

ASJC Scopus subject areas

  • Statistics and Probability
  • Statistics, Probability and Uncertainty

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