Row-Splitting Design of Low-Density Parity-Check Codes for Gbps Transmission

In this paper, we propose a design methodology of low-density parity check (LDPC) code for very high speed transmission. To support various code rates with reasonable hardware and, possibly, the type-II hybrid automatic repeat request (HARQ), a row-splitting/combining method is employed in conjunction with shortening. In row-splitting approach, a parity check matrix of a high rate mother LDPC code, saying rate 5/6, is designed first and then successively row-split the mother matrix to obtain lower rate codes. Shortening provides us another degree of freedom for rate and frame length flexibility for concatenation with MIMO system. The code performance is investigated in terms of frame error rate and compared with those of the LDPC code proposed in IEEE 802.16e standard.