A new method for constructing parity check matrix of QC-LDPC codes based on shortening RS codes for wireless sensor networks

In this paper, a new method to construct parity check matrix of QC-LDPC codes based on shortening RS codes for wireless sensor networks (WSNs) is proposed. The proposed method constructs a basic matrix based on shortening RS codes with two information symbols, then expands the basic matrix optimally utilizing cyclic permutation matrix, so as to obtain the check matrix of quasi-cyclic regular LDPC codes in which the girth is 8 at least, and constructed LDPC codes have good minimum distances. Especially, the basic matrix and its expansion are both fully structured, so it is convenient for hardware implementation. The simulation results show that the QC-LDPC codes constructed by the proposed method have good BER performance and convenient for the hardware design and implementation. Moreover, the simulation results show that WSNs using the constructed QC-LDPC codes have good energy efficiency.