Pulse-shaping based on generalized Gabor transform for optimal LOFDM system

Lattice Orthogonal Frequency Division Multiplexing (LOFDM) is a promising technique for high data-rate transmission in double(namely time-frequency) dispersive channel. But, as pulse shaping filters of LOFDM system is badly-localized, it is certainty that ISI and/or ICI be introduced. Therefore, design of pulse shaping filters is an important task for design of optimal LOFDM system. Currently, Strohmer and Beaver (2001, 2003) present an approach to design of pulse shaping filters for optimal LOFDM systems, but, it is computatively complex. In this paper, a generalized Gabor transform is proposed. Utilizing an approach of attained generalized tight Gabor atoms, the time-frequency well-localized pulse shaping filters can be designed for optimal LOFDM system. It is showed through theory analysis and simulative experiment that this method is more efficient and simpler than that of Strohmer and Beaver (2001, 2003).