New high rate LDPC codes for radio applications

Low-density parity-check (LDPC) code is linear-block error-correcting code defined by sparse parity-check matrix. LDPC codes have found wide application in various fields like satellite transmission, recording in magnetic discs etc. because of their capability to reach near Shannon limit performance. This paper presents 3 new high rates - 0.81, 0.84 and 0.89 of length 2512, 1843 and 2619 respectively, LDPC codes for radio application. The codes are constructed using shifted identity matrix and a lower staircase matrix. The complexity of encoding of these codes is low and decoding can be done by belief propagation. Simulation results of the codes show good bit error rate performance with min-sum decoding algorithm.