Blind linear equalization of PPM signals using third-order moments

Authors:
Patrik Pääjärvi;James P. LeBlanc
Affiliations:
Rubico AB, Luleå, Sweden;Department of Computer Science and Electrical Engineering, Lule°a University of Technology, Luleå, Sweden
Venue:
IEEE Transactions on Wireless Communications
Year:
2010

Citing 6
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Abstract

A novel blind equalization strategy for pulse position modulation (PPM) based on maximizing the third-order moment of the equalizer output is presented. Compared to traditional fourth-order (e.g. kurtosis-based) methods, third-order moments give faster convergence and are less sensitive to noise. This work demonstrates that the intersymbol interference that plagues typical indoor ultra wideband (UWB) channels can be combatted using a third-moment maximizing blind equalizer which could therefore provide a cold start-up for a decision-directed scheme. Adaptation is shown to be asymptotically globally convergent with increasing time-hopped PPM frame length. Simulation experiments compare the performance to standard fourth-order schemes in practical settings, taking into account the conditions of time-hopping,multiple-access interference and a realistic UWB channel model.