Title :
Determination of the merit factor of Legendre sequences
Author :
Hoholdt, Tom ; Jensen, Helge E.
Author_Institution :
Math. Inst., Tech. Univ. of Denmark, Lyngby, Denmark
fDate :
1/1/1988 12:00:00 AM
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
Keywords :
binary sequences; information theory; Legendre sequences; merit factor; Binary sequences; Extraterrestrial measurements; Fires; Integral equations; Magneto electrical resistivity imaging technique; Optimized production technology; Plasma measurements; Radio interferometry; Signal processing algorithms; Spectroscopy;
Journal_Title :
Information Theory, IEEE Transactions on
