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On the solutions of the difference equation xn+1 = max ...[wzór]

Yalcinkaya Ç., Kurbanli A. S.

Fasciculi Mathematici

2010

Nr 43

165-169

We study the solutions of the following difference equation ...[wzór] where initial conditions x-1and x0 are nonzero real numbers. In most of the cases we determine the solutions in function of the initial conditions x-1 and x0.

Log-MAP Decoding of Turbo Codes and Turbo Trellis-Codec Modulation Using Piecewise-Linear Approximations of the max* Operator

Sybis M., Tyczka P., Papaharalabos S., Mathiopoulos P. T., Masera G., Martina M.

Electronics and Telecommunications Quarterly

2009

Vol. 55, No 3

435-451

A novel approach for approximating the max* operator, used in the Log-MAP decoding algorithm, is presented. In this approximation it is not necessary to use any additional correction term, as previous approximation methods require. Several decoding algorithms are obtained for both turbo and turbo trellis-coded modulation (TTCM) codes with optimal and near-optimal bit error rate (BER) performance depending on a single parameter, namely the number of piecewise-linear (PWL) approximation terms used. The decoding complexity is estimated, showing the practical implementation advantages of the proposed method against the Log-MAP algorithm.