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By David Declercq, Marc Fossorier, Ezio Biglieri

This publication supplies a evaluation of the rules, tools and strategies of significant and rising learn themes and applied sciences in Channel Coding, together with conception, algorithms, and purposes.

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    Extra resources for Channel Coding : Academic Press Library in Mobile and Wireless Communications

    Example text

    For longer block lengths, up to 10,000 or 100,000, larger values of C, up to 8 or 16, may be necessary in order to achieve acceptable minimum Hamming distances. Figure 21 shows some PER performance curves obtained with the DVB-RCS [33] (solid curves) and DVB-RCS2 [34] (dotted curves) turbo codes that both use an ARP interleaver. The simulation results take into account actual implementation constraints such as input quantization and simplified decoding algorithm. We can observe good average performance for the memory-3 DVB-RCS code, whose decoding complexity is very reasonable.

    Koch, A. Baier, Optimum and sub-optimum detection of coded data disturbed by time-varying intersymbol interference, in: Proceedings of Globecom’90, San Diego, USA, December 1990, pp. 1679–1684. [69] J. Erfanian, S. Pasupathy, G. Gulak, Reduced complexity symbol detectors with parallel structures for ISI channels, IEEE Trans. Commun. 42 (2/3/4) (1994) 1661–1671. [70] P. Robertson, Illuminating the structure of code and decoder of parallel concatenated recursive systematic (turbo) codes, in: Proceedings of Globecom’94, San Francisco, USA, December 1994, pp.

    The second term is the a priori information related to di = j: in a non-iterative process or at the first turbo decoding iteration, it is given by the source statistics; in an iterative process, 4 Fundamentals of Turbo Decoding it is provided by the output extrinsic information computed by the other component decoder. The third term is given by the transition probability of the transmission channel. Therefore, if we consider a transmission in the discrete Gaussian memoryless channel, with noise variance σ 2 , the non-zero γ j (Ri , m , m) terms can be written as γ j (Ri , m , m) = Pr{di = j} 1 (xi − X i )2 exp − 2π σ 2 2σ 2 exp − (yi − Yi )2 2σ 2 .

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