Journal of Global Optimization
Differentially encoded LDPC codes-part I: special case of product accumulate codes
EURASIP Journal on Wireless Communications and Networking - Advances in Error Control Coding Techniques
Design of capacity-approaching irregular low-density parity-check codes
IEEE Transactions on Information Theory
Analysis of sum-product decoding of low-density parity-check codes using a Gaussian approximation
IEEE Transactions on Information Theory
IEEE Transactions on Information Theory
Extrinsic information transfer functions: model and erasure channel properties
IEEE Transactions on Information Theory
IEEE Journal on Selected Areas in Communications
IEEE Journal on Selected Areas in Communications
Serial concatenation of LDPC codes and differential modulations
IEEE Journal on Selected Areas in Communications
Differentially encoded LDPC codes-part I: special case of product accumulate codes
EURASIP Journal on Wireless Communications and Networking - Advances in Error Control Coding Techniques
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This two-part series of papers studies the theory and practice of differentially encoded low-density parity-check (DE-LDPC) codes, especially in the context of noncoherent detection. Part I showed that a special class of DE-LDPC codes, product accumulate codes, perform very well with both coherent and noncoherent detections. The analysis here reveals that a conventional LDPC code, however, is not fitful for differential coding and does not, in general, deliver a desirable performance when detected noncoherently. Through extrinsic information transfer (EXIT) analysis and a modified "convergence-constraint" density evolution (DE) method developed here, we provide a characterization of the type of LDPC degree profiles that work in harmony with differential detection (or a recursive inner code in general), and demonstrate how to optimize these LDPC codes. The convergence-constraint method provides a useful extension to the conventional "threshold-constraint" method, and can match an outer LDPC code to any given inner code with the imperfectness of the inner decoder taken into consideration.