Uppsala universitet

Designing Decision Feedback Equalizers to be Robust with Respect to Channel Time Variations

Erik Lindskog, Mikael Sternad and Anders Ahlén

Proceedings of NRS, Nordic Radio Symposium on Interference Resistant Radio and Radar, Uppsala, Sweden, June 1993.

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Outline:
When digital data are transmitted over dispersive radio channels, a Decision Feedback Equalizer (DFE) can be utilized to estimate transmitted symbols. The paper presents a model-bases methodology for robust design, aimed at reducing the effect of model uncertainties and of slow time variations of the channel.

Abstract:
Design equations are presented for a robust realizable decision feedback equalizer, for FIR channels with uncertain channel coefficients and white noise. The mean MSE averaged over the class of channels is minimized, assuming correct past decisions.

An example using a robust DFE for a fading GSM-channel at 1800MHz is presented. The channel identified during the training sequence is used for the nominal model. This model is complemented by a stochastic uncertainty model, consisting of two additive parts.

One part is the variance error in the channel estimate obtained by least squares during the training sequence. If the noise is white, this error can be quantified exactly for short training sequences.

The second part describes the average uncertainty caused by the channel variability during the data part of the burst. Such an estimate can be computed if the speed of the mobile is known or estimated. Based on the nominal model and error model, the robust DFE can be design. A robust design results in a significant performance improvement at low SNR's and high speeds of the mobile, as compared to a nominal design.

Related publications:
PhD Thesis by Erik Lindskog.
Licentiate Thesis by E Lindskog 1995, which includes the paper.
Conference paper in IEEE ICASSP, for IIR channels, coloured noise and decision errors.
PhD Thesis by Kenth Öhrn May 1996, on the robust design of filters.
1 Paper in IEEE Trans. IT 1990, on the nominal model-based design of DFE's.

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