Technical Program

Paper Detail

Paper IDC.3.2
Paper Title Message Flow Analysis in Practical LDPC Decoders for the Interpretation of Absorbing Set Thresholds
Authors Marco Ferrari, CNR-IEIIT, Italy; Ramon Marenzi, Università degli studi di Bergamo, Italy; Luca Barletta, Politecnico di Milano, Italy
Session C.3: Iterative Decoding
Presentation Lecture
Track Coding for Communications
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Abstract Absorbing sets (ASs) cause the error floor phenomenon in many low-density parity-check (LDPC) codes by entrapping iterative decoders. A recent simplified system model for practical min-sum (MS) LDPC decoding predicts that if all variable nodes in an AS have channel messages above a certain threshold, the AS cannot entrap the decoder. The threshold is an AS parameter that depends on its Tanner graph, and is the result of a nonlinear optimization. In this paper, we analyze the messages exchanged in the directed graph (digraph) of the AS during MS decoding while evaluating the AS threshold. By doing this, we unveil the meaning of the threshold value, which is the minimum channel message for which positive feedback loops in the digraph involve all the messages exchanged.

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2021 IEEE International Symposium on Information Theory

11-16 July 2021 | Melbourne, Victoria, Australia

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