OFDM, Laurent operators, and time-frequency localization

Thomas Strohmer

doi:10.1117/12.408631

4 December 2000 OFDM, Laurent operators, and time-frequency localization

Thomas Strohmer

Proceedings Volume 4119, Wavelet Applications in Signal and Image Processing VIII; (2000) https://doi.org/10.1117/12.408631
Event: International Symposium on Optical Science and Technology, 2000, San Diego, CA, United States

Abstract

Orthogonal frequency division multiplexing (OFDM) has gained considerable interest as an efficient technology for high- date-data transmission over wireless channels. The design of pulse shapes that are well-localized in the time-frequency plane is of great importance in order to combat intersymbol interference and interchannel interference caused by the mobile radio channel. Recently proposed methods to construct such well-localized functions are utilizing the link between OFDM and Gabor systems. We derive a theoretical framework that shows why and under which conditions these methods will yield well-localized pulse shapes. In our analysis we exploit the connection between Gabor systems, Laurent operators and the classical work of Gelfand, Raikov, and Shilov on commutative Banach algebras. In the language of Gabor analysis we derive a general condition under which the dual window and the canonical tight window inherit the decay properties of the analysis window.

Citation Download Citation

Thomas Strohmer "OFDM, Laurent operators, and time-frequency localization", Proc. SPIE 4119, Wavelet Applications in Signal and Image Processing VIII, (4 December 2000); https://doi.org/10.1117/12.408631

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KEYWORDS

Orthogonal frequency division multiplexing

Time-frequency analysis

Transmitters

Receivers

Distortion

Modulation

Radio propagation

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