Efficient design of pulse shaping filters for OFDM systems

Authors

Helmut Bölcskei

Reference

SPIE Proc., "Wavelet Applications in Signal and Image Processing VII", Denver (CO), July 1999, Vol. 3813, pp. 625-636, July 1999, (invited paper).

DOI: 10.1117/12.366818

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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 [1,2] 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.

Keywords

OFDM, pulse shaping, guard regions, filter design, Weyl-Heisenberg frames, duality and biorthogonality, time-frequency localization, Zak transform

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