Performance analysis of LDPC Convolutional Codes

Low Density Parity Check Convolutional Codes (LDPC-CCs) have the advantage of simple encoding and decoding. ASIC or FPGA implementation of LDPC-CCs have been shown to have very good complexity-performance trade-off. In this paper, we present a class of LDPC-CC and iterative algorithm to decode these codes. The construction technique of our code is simple and easy, compared to other LDPC-CCs, which reduces hardware complexity. The simulation results show that the performance of our proposed codes is better than the LDPC Block codes with the same decoding complexity per information bit. Our code also outperforms its counterpart LDPC-CCs.

[1]  Daniel J. Costello,et al.  LDPC block and convolutional codes based on circulant matrices , 2004, IEEE Transactions on Information Theory.

[2]  Marco Chiani,et al.  Design and performance evaluation of some high-rate irregular low-density parity-check codes , 2001, GLOBECOM'01. IEEE Global Telecommunications Conference (Cat. No.01CH37270).

[3]  Gerhard Fettweis,et al.  Comparison of LDPC block and LDPC convolutional codes based on their decoding latency , 2012, 2012 7th International Symposium on Turbo Codes and Iterative Information Processing (ISTC).

[4]  Martin Bossert,et al.  On Iterative Soft-Decision Decoding of Linear Binary Block Codes and Product Codes , 1998, IEEE J. Sel. Areas Commun..

[5]  Amir H. Banihashemi,et al.  On implementation of min-sum algorithm and its modifications for decoding low-density Parity-check (LDPC) codes , 2005, IEEE Transactions on Communications.

[6]  Ali Emre Pusane,et al.  A Comparison Between LDPC Block and Convolutional Codes , 2006 .

[7]  Robert Michael Tanner,et al.  A recursive approach to low complexity codes , 1981, IEEE Trans. Inf. Theory.

[8]  Joachim Hagenauer,et al.  Iterative decoding of binary block and convolutional codes , 1996, IEEE Trans. Inf. Theory.

[9]  X. Jin Factor graphs and the Sum-Product Algorithm , 2002 .

[10]  Kamil Sh. Zigangirov,et al.  Time-varying periodic convolutional codes with low-density parity-check matrix , 1999, IEEE Trans. Inf. Theory.

[11]  Daniel J. Costello,et al.  A new construction for low density parity check convolutional codes , 2002, Proceedings of the IEEE Information Theory Workshop.

[12]  Robert G. Gallager,et al.  Low-density parity-check codes , 1962, IRE Trans. Inf. Theory.