Chaotic Digital Encoding for 2D Trellis-Coded Modulation
AICT '09 Proceedings of the 2009 Fifth Advanced International Conference on Telecommunications
Improved Frey chaotic digital encoder for trellis-coded modulation
IEEE Transactions on Circuits and Systems II: Express Briefs
Channel coding with multilevel/phase signals
IEEE Transactions on Information Theory
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In this paper, phase shift keying-trellis coded modulation (PSK-TCM) schemes are designed using recursive convolutional encoders over Galois field GF(2^N). These encoders are designed using the nonlinear left-circulate (LCIRC) function. The LCIRC function performs a bit left circulation over the representation word. Different encoding rates are obtained for these encoders when using different representation wordlengths at the input and the output, denoted as N"i"n and N, respectively. A generalized 1-delay GF(2^N) encoder scheme using LCIRC is proposed for performance analysis and optimization, for any possible encoding rate, N"i"n/N. The minimum Euclidian distance is estimated for these PSK-TCM schemes and a general expression is found as a function of the wordlengths N"i"n and N. The symbol error rate (SER) is estimated by simulation for PSK-TCM transmissions over an additive white Gaussian noise (AWGN) channel.