The design of efficiently-encodable rate-compatible LDPC codes
IEEE Transactions on Communications
Design of repeat-accumulate codes for iterative detection and decoding
IEEE Transactions on Signal Processing
Extrinsic information transfer functions: model and erasure channel properties
IEEE Transactions on Information Theory
Rate-compatible puncturing of low-density parity-check codes
IEEE Transactions on Information Theory
Rate-compatible punctured low-density parity-check codes with short block lengths
IEEE Transactions on Information Theory
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We present the design and analysis of a family of codes based on the efficiently-encodable rate-compatible irregular LDPC codes (E2RC codes) introduced by Kim, Ramamoorthy and Mclaughlin '06. The basic idea is to utilize the structured parity part (of the parity check matrix) of E2RC codes and design optimal degree distributions for the systematic part based on EXIT chart analysis. In this work, we propose a new technique for computing EXIT functions of the structured parity part without resorting to Monte Carlo simulations. Our method provides smoother EXIT functions in substantially lesser time. Furthermore, we pose and solve the problem of designing good codes using linear programming. Next, we consider the performance of rate-compatible codes under puncturing using EXIT charts. Finally, we propose joint optimization of our codes at any specified code rate(s) which has not been explored in previous design of rate-compatible punctured codes.