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Determination of the merit factor of Legendre sequences

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2 Author(s)
Hoholdt, T. ; Math. Inst., Tech. Univ. of Denmark, Lyngby, Denmark ; Jensen, H.E.

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

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Information Theory, IEEE Transactions on  (Volume:34 ,  Issue: 1 )