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The geometry of turbo-decoding dynamics

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1 Author(s)
T. Richardson ; Lucent Technol., Bell Labs., Murray Hill, NJ, USA

The spectacular performance offered by turbo codes sparked intense interest in them. A considerable amount of research has simplified, formalized, and extended the ideas inherent in the original turbo code construction. Nevertheless, the nature of the relatively simple ad hoc turbo-decoding algorithm has remained something of a mystery. We present a geometric interpretation of the turbo-decoding algorithm. The geometric perspective clearly indicates the relationship between turbo-decoding and maximum-likelihood decoding. Analysis of the geometry leads to new results concerning existence of fixed points, conditions for uniqueness, conditions for stability, and proximity to maximum-likelihood decoding

Published in:

IEEE Transactions on Information Theory  (Volume:46 ,  Issue: 1 )