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On the robustness of the finite-length MMSE-DFE with respect to channel and second-order statistics estimation errors

Liavas Athanasios

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URI: http://purl.tuc.gr/dl/dias/FE578220-BE9A-4788-A25C-1DABF3BFDA4D
Year 2002
Type of Item Peer-Reviewed Journal Publication
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Bibliographic Citation A. P. Liavas, “On the robustness of the finite-length MMSE-DFE with respect to channel and second-order statistics estimation errors,” IEEE Trans. Signal Proc., vol. 50, no. 11, pp. 2866–2874, Nov. 2002.doi: 10.1109/TSP.2002.804083 https://doi.org/10.1109/TSP.2002.804083
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Summary

The finite-length minimum mean square error decision-feedback equalizer (MMSE-DFE) is an efficient structure mitigating intersymbol interference (ISI) introduced by practically all communication channels at high-enough symbol rates. The filters constituting the MMSE-DFE, as well as related performance measures, can be computed by assuming perfect knowledge of the channel impulse response and the input and noise second-order statistics (SOS). In practice, we estimate the unknown quantities, and thus, inevitable estimation errors arise. We model the estimation errors as small perturbations, and we derive a second-order approximation to the excess MSE. Furthermore, we derive second-order approximations to the mean excess MSE in terms of the parameter estimation error covariance matrices and simple and informative bounds, revealing the factors that govern the behavior of MMSE-DFE under mismatch. Simulations confirm that the derived second-order approximations provide accurate estimates of the MMSE-DFE performance degradation due to mismatch.

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