Determination of the merit factor of Legendre sequences

  • Authors:
  • T. Ho:.KC /holdt;H. E. Jensen

  • Affiliations:
  • -;-

  • Venue:
  • IEEE Transactions on Information Theory
  • Year:
  • 1988

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Abstract

M.J.E. Golay (ibid., vol.IT-23, no.1, p.43-51, 1977) has used the ergodicity postulate to calculate that the merit factor F of a Legendre sequence offset by a fraction f of its length has an asymptotic value given by 1/F=(2/3)-4|f|+8f 2, |f|⩽1/2, which gives F=6 for |f |=1/4. Here this is proved without using the ergodicity postulate