Trellis and Turbo Coding
Error Control Coding, Second Edition
Error Control Coding, Second Edition
Digital Communications with Chaos: Multiple Access Techniques and Performance
Digital Communications with Chaos: Multiple Access Techniques and Performance
Low-density codes based on chaotic systems for simple encoding
IEEE Transactions on Circuits and Systems Part I: Regular Papers
Turbo-like structures for chaos encoding and decoding
IEEE Transactions on Communications
Serial concatenation of interleaved codes: performance analysis, design, and iterative decoding
IEEE Transactions on Information Theory
Bit-interleaved coded modulation
IEEE Transactions on Information Theory
Fading channels: information-theoretic and communications aspects
IEEE Transactions on Information Theory
Error probability analysis of bit-interleaved coded modulation
IEEE Transactions on Information Theory
Design and analysis of turbo codes on Rayleigh fading channels
IEEE Journal on Selected Areas in Communications
On the theory and performance of trellis termination methods for turbo codes
IEEE Journal on Selected Areas in Communications
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This paper proposes a serially concatenated system with an outer convolutional channel encoder and an inner chaos-based coded modulator.With the help of the principles of symbolic dynamics, the chaotic modulation can be described in terms of a trellis. Owing to this, we show that the resulting system can be designed and analyzed following developments made for serially concatenated channel codes (SCCCs) or bit-interleaved coded-modulation systems. We show how the iterative decoding algorithm used in this concatenated framework can be analyzed through the well-known extrinsic information transfer chart device and how the bit error rate can be bounded using the transfer function of the convolutional channel encoder. Comparison with a related SCCC system in both additive white Gaussian noise and frequency-nonselective fading channels shows that this kind of chaos-based systems keeps the potential advantages of coded-modulation-based systems. We are thus confident that the principles shown here can lead to the design of competitive chaotic discrete communication systems.