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              <p>An improved turbo-equalization process is proposed for linear precoding with iterative decoding. Using recent results in turbo-equalization, we derive the equalization coefficients for an optimized precoding decoder thanks to the SINR criterion. The proposed method keeps a low complexity even with large size precoders and high order modulations. Theoretical and simulation results show that full diversity is achieved after three or four iterations over a flat Rayleigh fading channel. An application of this transmission scheme is presented in the context of the OFDM wireless LAN 802.11a. We observe a gain of several decibels compared to the conventional unprecoded transmission scheme.</p>
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