TY - GEN
T1 - The L1-norm of out-of-phase peaks of the aperiodic auto-correlation function of binary sequences
AU - Stańczak, Slawomir
AU - Boche, Holger
N1 - Publisher Copyright:
© 2000 IEEE.
PY - 2000
Y1 - 2000
N2 - For the mean-square errors of the maximum-likelihood 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 Nrarr/∞ 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 l1-norm of out-of-phase peaks of the aperiodic auto-correlation magnitude. In this paper, it is shown that the l1-norm 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 skew-symmetric Barker sequences. The paper is of interest in mobile radio channels' study.
AB - For the mean-square errors of the maximum-likelihood 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 Nrarr/∞ 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 l1-norm of out-of-phase peaks of the aperiodic auto-correlation magnitude. In this paper, it is shown that the l1-norm 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 skew-symmetric Barker sequences. The paper is of interest in mobile radio channels' study.
UR - https://www.scopus.com/pages/publications/0033710162
U2 - 10.1109/ICASSP.2000.860963
DO - 10.1109/ICASSP.2000.860963
M3 - Conference contribution
AN - SCOPUS:0033710162
T3 - ICASSP, IEEE International Conference on Acoustics, Speech and Signal Processing - Proceedings
SP - 2533
EP - 2536
BT - CommunicationsSensor Array and Multichannel Signal Processing
PB - Institute of Electrical and Electronics Engineers Inc.
T2 - 25th IEEE International Conference on Acoustics, Speech, and Signal Processing, ICASSP 2000
Y2 - 5 June 2000 through 9 June 2000
ER -