Abstract-To combat the effects of intersymbol interference (ISI), the optimal equalizer to be used is based on maximum a posteriori (MAP) detection. In this paper, we consider the case where the MAP equalizer is fed with a priori information on the transmitted data and propose to study analytically their impact on the MAP equalizer performance. We assume that the channel is not perfectly estimated and show that the use of both the a priori information and the channel estimate is equivalent to a shift in terms of signal-to-noise ratio (SNR) for which we provide an analytical expression. Simulation results show that the analytical expression approximates well the equalizer behavior.
In this paper, we consider a coded transmission over a frequency selective channel. We propose to study analytically the convergence of the turbo-detector using a maximum a posteriori (MAP) equalizer and a MAP decoder. We show that the densities of the extrinsic Log Likelihood Ratios (LLRs) exchanged during the iterations are e-symmetric and output-symmetric. Under the Gaussian approximation, this property allows to perform a one-dimensional (1-D) analysis of the turbo-detector. By deriving the analytical expressions of the extrinsic LLR distributions under the Gaussian approximation, we prove that the bit error rate (BER) performance of the turbo-detector converges to the BER performance of the coded Additive White Gaussian Noise (AWGN) channel at high signal to noise ratio (SNR), for any frequency selective channel.
EDICS:• PERF Performance analysis and bounds• CEST Channel estimation and equalization• MODL Modulation and encoding * This work was supported by the INRIA-DGRSRT program under Grant 05 I 17 and by the EU 6th framework program, via the NEWCOM network of excellence under project 507325. Parts of this paper were presented at the SPAWC'05 and EUSIPCO'06 conferences.
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