Combined Analog and Digital Error-Correcting Codes For Analog Information Sources

This contribution focuses on error-correcting codes for analog signals. Generally, error-correcting codes exhibit a threshold effect, which degrades performance at the low SNR range. We propose two error correction alternatives based on chaotic dynamical systems, which improve threshold performance relative to previously proposed methods. The first one, which is based on principles of diversity, exhibits a very simple decoder. The second alternative, which is based on a low-density parity-check code, attains a significantly lower threshold. Theoretical analysis and simulations are provided.