Title :
A closed-form scaling law for convolutional LDPC codes over the BEC
Author :
Olmos, Pablo M. ; Urbanke, Rudiger
Author_Institution :
Dept. de Teor. de la Senal y Comun., Univ. Carlos III de Madrid, Leganés, Spain
Abstract :
We propose a scaling law for the error probability of convolutional LDPC ensembles when transmission takes place over the binary erasure channel. We discuss how the parameters of the scaling law are connected to fundamental quantities appearing in the asymptotic analysis of these ensembles and we verify that the predictions of the scaling law fit well with data derived from simulations over a wide range of parameters.
Keywords :
convolutional codes; decoding; error statistics; parity check codes; BEC; SC-LDPC; asymptotic analysis; belief propagation decoding; binary erasure channel; binary-input memoryless symmetric channels; closed-form scaling law; convolutional LDPC codes; error probability; spatially coupled low-density parity-check codes; Convolutional codes; Decoding; Differential equations; Error probability; Markov processes; Parity check codes; Steady-state;
Conference_Titel :
Information Theory Workshop (ITW), 2013 IEEE
Conference_Location :
Sevilla
Print_ISBN :
978-1-4799-1321-3
DOI :
10.1109/ITW.2013.6691238