Bayesian estimation of a class of chaotic signals
ICASSP '00 Proceedings of the Acoustics, Speech, and Signal Processing, 2000. on IEEE International Conference - Volume 01
Methods for chaotic signal estimation
IEEE Transactions on Signal Processing
Curves on a sphere, shift-map dynamics, and error control for continuous alphabet sources
IEEE Transactions on Information Theory
Maximum-likelihood estimation of a class of chaotic signals
IEEE Transactions on Information Theory
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This paper proposes a novel construction of analog codes based on nonlinear chaotic dynamical systems in general and the tent map in particular. In light of the importance of the symbolic coding in estimating tent chaos, the proposed construction exploit useful ideas of interleaving and parallel concatenation from classical coding theory to protect symbolic coding and subsequently chaotic states. The resultant new codes, dubbed chaotic analog turbo (CAT) codes, extend Chen-Wornell codes, in a spirit close to that of digital turbo codes extending digital convolutional codes. A new sequence detection method that improves the existing backward detection method is also developed. Through analysis and simulations, it is shown that CAT codes can noticeably outperform the existing analog ones.