A unary error correction code for the near-capacity joint source and channel coding of symbol values from an infinite set

Maunder, R.G., Zhang, W., Wang, T. and Hanzo, L. (2013) A unary error correction code for the near-capacity joint source and channel coding of symbol values from an infinite set. IEEE Transactions on Communications, 61 (5), 1977-1987. (doi:10.1109/TCOMM.2013.031213.120460).

Record type: Article

Abstract

A novel Joint Source and Channel Code (JSCC) is proposed, which we refer to as the Unary Error Correction (UEC) code. Unlike existing JSCCs, our UEC facilitates the practical encoding of symbol values that are selected from a set having an infinite cardinality. Conventionally, these symbols are conveyed using Separate Source and Channel Codes (SSCCs), but we demonstrate that the residual redundancy that is retained following source coding results in a capacity loss, which is found to have a value of 1.11 dB in a particular practical scenario. By contrast, the proposed UEC code can eliminate this capacity loss, or reduce it to an infinitesimally small value. Furthermore, the UEC code has only a moderate complexity, facilitating its employment in practical low-complexity applications.

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