TY - GEN
T1 - Substituting the cumulants in the super-exponential blind equalization algorithm
AU - Yeredor, Arie
PY - 2008
Y1 - 2008
N2 - The Shalvi-Weinstein super-exponential algorithm for blind channel equalization employs empirical high-order cross-cumulants between the equalizer's input and output for iterative updates of the equalizer. When the source signal has (nearly) null cumulants of the required order, the algorithm's performance may be severely degraded. Rather than resort to even higher-order cumulants in such cases, we propose to employ an alternative statistic, based on second-order derivatives (Hessians, evaluated away from the origin) of the joint log-characteristic function of the equalizer's input and output. These Hessians admit straightforward empirical estimates, maintain the "philosophy of operation" of the algorithm, and, as we demonstrate in simulation, can significantly improve its performance in such (and in other) cases.
AB - The Shalvi-Weinstein super-exponential algorithm for blind channel equalization employs empirical high-order cross-cumulants between the equalizer's input and output for iterative updates of the equalizer. When the source signal has (nearly) null cumulants of the required order, the algorithm's performance may be severely degraded. Rather than resort to even higher-order cumulants in such cases, we propose to employ an alternative statistic, based on second-order derivatives (Hessians, evaluated away from the origin) of the joint log-characteristic function of the equalizer's input and output. These Hessians admit straightforward empirical estimates, maintain the "philosophy of operation" of the algorithm, and, as we demonstrate in simulation, can significantly improve its performance in such (and in other) cases.
KW - Blind equalization
KW - Characteristic function
KW - Charrelation matrix
KW - Hessian
KW - Super-exponential
UR - http://www.scopus.com/inward/record.url?scp=51449105310&partnerID=8YFLogxK
U2 - 10.1109/ICASSP.2008.4518400
DO - 10.1109/ICASSP.2008.4518400
M3 - ???researchoutput.researchoutputtypes.contributiontobookanthology.conference???
AN - SCOPUS:51449105310
SN - 1424414849
SN - 9781424414840
T3 - ICASSP, IEEE International Conference on Acoustics, Speech and Signal Processing - Proceedings
SP - 3477
EP - 3480
BT - 2008 IEEE International Conference on Acoustics, Speech and Signal Processing, ICASSP
T2 - 2008 IEEE International Conference on Acoustics, Speech and Signal Processing, ICASSP
Y2 - 31 March 2008 through 4 April 2008
ER -