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Time-variant Low-Density Parity-Check convolutional codes (LDPCccs) can be derived from unwrapping Quasi-Cyclic (QC) LDPC block codes. Rather than analyzing cycles in a large-scale time-domain parity check matrix, we propose a new way to describe cycle properties in compact form by a “polynomial syndrome former”, i.e., a syndrome former in an equivalent polynomial representation. According to the...
Cooperative communication is a well known technique to yield transmit diversity in the case of fading channels and to increase the spectral efficiency in the case of Gaussian channels. Error-correcting codes have to be carefully designed to achieve the promised gains. Good LDPC codes are known for fading channels and for Gaussian channels, but an LDPC code ensemble that performs well on both channels...
An optimization algorithm for the design of puncturing patterns for low-density parity-check codes is proposed. The algorithm is applied to the base matrix of a quasi-cyclic code, and is expanded for each block size used. Thus, storing puncturing patterns specific to each block size is not required. Using the optimization algorithm, the number of 1-step recoverable nodes in the base matrix is maximized...
A new message-passing (MP) method is considered for the matrix completion problem associated with recommender systems. We attack the problem using a (generative) factor graph model that is related to a probabilistic low-rank matrix factorization. Based on the model, we propose a new algorithm, termed IMP, for the recovery of a data matrix from incomplete observations. The algorithm is based on a clustering...
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