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2000
Conference Paper
Titel
The L1norm of outofphase peaks of the aperiodic autocorrelation function of binary sequences
Abstract
For the meansquare errors of the maximumlikelihood channel estimate, the noise enhancement factor of an aperiodic invertible sequence is an optimality criterion. Massey posed a question as to whether there exist binary sequences that achieve the absolute optimum for the sequence length N to infinity since then they would be preeminently eligible for channel estimation. However, the noise enhancement factor is extremely difficult to examine both analytically and numerically often making extensive investigations of sequences impossible. For this reason, it is convenient to consider the l1norm of outofphase peaks of the aperiodic autocorrelation magnitude. In this paper, it is shown that the l1norm can never have the required behaviour for solving Massey's problem in the case of binary sequences and that the best possible binary sequences in this connection are skewsymmetric Barker sequences. The paper is of interest in mobile radio channels' study.
Tags

awgn channels

binary sequences

correlation theory

land mobile radio

maximum likelihood estimation

multipath channels

noise

l1norm

outofphase peaks

aperiodic autocorrelation function

meansquare errors

maximumlikelihood channel estimate

noise enhancement factor

aperiodic invertible sequence

sequence length

aperiodic autocorrelation magnitude

skewsymmetric barker sequences

mobile radio channel estimation