Protograph-Based Design of Non-Binary LDPC Codes

This paper presents construction of non-binary LDPC codes using protograph method. A new class of LDPC codes is constructed from a template called a protograph. The protograph serves as a blueprint for constructing LDPC codes of arbitrary size in which the performance can be predicted by analyzing the protograph. The significance of this approach is the reduction of number of nodes of computation in the decoding process. Furthermore, they also benefit for low memory requirements, simple design procedure, as well as hardware-friendly implementation. ARA-based code is a kind of linear class codes having self-correcting capabilities. It is used to transmit messages over noisy transmission channel. Due to this, the information loss can be made as small as possible. These codes constitute a subclass of LDPC codes with very fast encoder structure. They also have a projected graph or protograph representation that allows for high-speed decoder implementation. Because of the unique feature the, ARA code is mainly used in supporting remote sensing, digital video broadcasting, and data delay applications. The decoding performance of the ARA-based LDPC codes with varied punctured patterns and repetition rates is analyzed. Computation of weighted enumerators for the design of non-binary LDPC codes is done. The simulation results of protograph-based LDPC codes are calculated by bit error rate (BER) performance.