TY - JOUR
T1 - Convergence analysis of turbo-decoding of product codes
AU - Sella, A.
AU - Be'ery, Y.
PY - 2000
Y1 - 2000
N2 - Geometric interpretation of turbo-decoding has founded an analytical basis, and provided tools for the analysis of this algorithm. Based on this geometric framework, we extend the analytical results for turbo-decoding of product codes, and show how analysis tools can be practically adopted for this case. Specifically, we investigate the algorithm's stability and its convergence rate. We present new results concerning the structure and properties of stability matrices of the algorithm, and develop upper bounds on the algorithm's convergence rate. We prove that for any 2 × 2 (information bits) product codes, there is a unique and stable fixed point. For the general case, we present sufficient conditions for stability. The interpretation of these conditions provides an insight to the behavior of the decoding algorithm.
AB - Geometric interpretation of turbo-decoding has founded an analytical basis, and provided tools for the analysis of this algorithm. Based on this geometric framework, we extend the analytical results for turbo-decoding of product codes, and show how analysis tools can be practically adopted for this case. Specifically, we investigate the algorithm's stability and its convergence rate. We present new results concerning the structure and properties of stability matrices of the algorithm, and develop upper bounds on the algorithm's convergence rate. We prove that for any 2 × 2 (information bits) product codes, there is a unique and stable fixed point. For the general case, we present sufficient conditions for stability. The interpretation of these conditions provides an insight to the behavior of the decoding algorithm.
UR - http://www.scopus.com/inward/record.url?scp=0034446906&partnerID=8YFLogxK
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AN - SCOPUS:0034446906
SN - 2157-8095
SP - 484
JO - IEEE International Symposium on Information Theory - Proceedings
JF - IEEE International Symposium on Information Theory - Proceedings
T2 - 2000 IEEE International Symposium on Information Theory
Y2 - 25 June 2000 through 30 June 2000
ER -