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

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  • Kao, Ming-Hung

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.

Suggested Citation

  • Kao, Ming-Hung, 2013. "On the optimality of extended maximal length linear feedback shift register sequences," Statistics & Probability Letters, Elsevier, vol. 83(6), pages 1479-1483.
  • Handle: RePEc:eee:stapro:v:83:y:2013:i:6:p:1479-1483
    DOI: 10.1016/j.spl.2013.02.012
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    References listed on IDEAS

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    1. Ming-Hung Kao & Abhyuday Mandal & John Stufken, 2012. "Constrained multiobjective designs for functional magnetic resonance imaging experiments via a modified non-dominated sorting genetic algorithm," Journal of the Royal Statistical Society Series C, Royal Statistical Society, vol. 61(4), pages 515-534, August.
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    Cited by:

    1. Kao, Ming-Hung, 2014. "A new type of experimental designs for event-related fMRI via Hadamard matrices," Statistics & Probability Letters, Elsevier, vol. 84(C), pages 108-112.

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