Work

Construction of Near-Capacity Protograph LDPC Code Sequences With Block-Error Thresholds

Year: 2015

Type: article

Abstract: Density evolution for protograph low-density parity-check (LDPC) codes is considered, and it is shown that the message-error rate falls double-exponentially with iterations whenever the degree-2 subgraph of the protograph is cycle-free and noise level is below threshold. Conditions for stability of protograph density evolution are established and related to the structure of the protograph. Using large-girth graphs, sequences of protograph LDPC codes with block-error threshold equal to bit-error threshold and block-error rate falling near-exponentially with blocklength are constructed deterministically. Small-sized protographs are optimized to obtain thresholds near capacity for binary erasure and binary-input Gaussian channels.

Source: IEEE Transactions on Communications

DOI: 10.1109/tcomm.2015.2500234

Authors: Asit Kumar Pradhan, Andrew Thangaraj, Arunkumar Subramanian

Institutions: Indian Institute of Technology Madras, Elixir Medical (United States)

Language: English

Topic: Error Correcting Code Techniques

Subfield: Computer Networks and Communications

Field: Computer Science

Domain: Physical Sciences

Open Access status: green

OpenAlex ID: W2142627787

FWCI: 4.572

Cites: 44

Cited by: 36

Related to: 10