Abstract
A novel method for constructing the Latin square Low Density Lattice Codes (LDLC) parity check matrix is proposed in this paper. Based on the permutation matrix, a 6-cycle matrix is build firstly. Then the elements involved in the 6-cycle are detected and swapped, which is on the basis of the theory of adjacency matrix. Therefore, we obtain a check matrix, which is 6-cycle free and the nonzero elements obeying random distribution. Simulation results demonstrate that the proposed method has a lower symbol error rate (SER) compared with the previous works.
Access this chapter
Tax calculation will be finalised at checkout
Purchases are for personal use only
References
Sommer N, Feder M, Shalvi O (2008) Low-density lattice codes [J]. IEEE Trans Inf Theor 54(4):1561–1585
Thorpe J (2003) Low-density parity-check (LDPC) codes constructed from protographs [J]. IPN progress report 42(154):42–154
Fossorier MPC, Mihaljevic M, Imai H (1999) Reduced complexity iterative decoding of low-density parity check codes based on belief propagation [J]. IEEE Trans Commun 47(5):673–680
Erez U, Zamir R (2004) Achieving 1/2 log (1 + SNR) on the AWGN channel with lattice encoding and decoding [J]. IEEE Trans Inf Theor 50(10):2293–2314
Wang X, Chang G (2008) A method to construct girth-8 low density lattice codes[C]. In: 2008 11th IEEE singapore international conference on communication systems, pp 258–262
McGowan JA, Williamson RC (2003) Loop removal from LDPC codes[C]. In: Proceedings. 2003 IEEE information theory workshop, pp 230–233
Fan J, Xiao Y (2006) A method of counting the number of cycles in LDPC codes[C]. In: 2006 8th international conference on signal processing, p 3
Zamir R (2014) Lattice coding for signals and networks: a structured coding approach to quantization, modulation, and multiuser information theory[M]. Cambridge university press
Wiberg N (1996) Codes and decoding on general graphs[M]. Department of electrical engineering, linköping university, Sweden
Kschischang FR, Frey BJ, Loeliger HA (2001) Factor graphs and the sum-product algorithm[J]. IEEE Trans Inf Theor 47(2):498–519
Ackonowledgment
the work is supported by the international exchange program of harbin engineering university for innovation-oriented talents cultivation.
Author information
Authors and Affiliations
Corresponding author
Editor information
Editors and Affiliations
Rights and permissions
Copyright information
© 2016 Springer-Verlag Berlin Heidelberg
About this paper
Cite this paper
Dan-feng, Z., Feng, X. (2016). An 8-Cycle Construction Scheme for Latin Square LDLC. In: Liang, Q., Mu, J., Wang, W., Zhang, B. (eds) Proceedings of the 2015 International Conference on Communications, Signal Processing, and Systems. Lecture Notes in Electrical Engineering, vol 386. Springer, Berlin, Heidelberg. https://doi.org/10.1007/978-3-662-49831-6_36
Download citation
DOI: https://doi.org/10.1007/978-3-662-49831-6_36
Published:
Publisher Name: Springer, Berlin, Heidelberg
Print ISBN: 978-3-662-49829-3
Online ISBN: 978-3-662-49831-6
eBook Packages: EngineeringEngineering (R0)