Title
Determination of the merit factor of Legendre sequences
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
Year
DOI
Venue
1988
10.1109/18.2620
IEEE Transactions on Information Theory
Keywords
Field
DocType
spectroscopy,information theory,integral equations
Discrete mathematics,Mod,Ergodicity,Combinatorics,Legendre polynomials,Binary Golay code,Merit factor,Legendre series,Number theory,Mathematics
Journal
Volume
Issue
ISSN
34
1
0018-9448
Citations 
PageRank 
References 
19
2.12
0
Authors
2
Name
Order
Citations
PageRank
Tom Høholdt118628.53
Helge Elbrønd Jensen2263.37