<title>Efficient design of pulse-shaping filters for OFDM systems</title>

Abstract

Orthogonal frequency division multiplexing (OFDM) has recently become a popular technique for high-data-rate transmission over wireless channels. Due to the time- frequency dispersion caused by the channel, the performance of OFDM systems depends critically on the time-frequency localization of the pulse shaping filters. In this paper, we show how the recent duality and biorthogonality theory developed in the context of Weyl-Heisenberg frames can be used to devise simple and efficient design procedures for well-localized OFDM pulse shaping filters. We consider OFDM systems employing time-frequency guard regions and OFDM systems based on offset QAM. We propose FFT-based design methods for pulse shaping filters with arbitrary length and arbitrary overlapping factors. Finally, we present some design examples.