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Turbo codes can perform near the Shannon capacity limit in the AWGN channel. They also give good performances for the Rayleigh flat fading channels with perfect knowledge of the Rayleigh process. However in practice, the channel response is not available and has to be estimated. Therefore, in general, one estimates the channel gain and uses the estimated values to compute the channel reliability factor required by the maximum a posteriori probability MAP-BCJR algorithm. The design and the analysis of a receiver for turbo coded symbols detection in Rayleigh fading channels have been investigated by several researchers.
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