Full Text:   <1985>

CLC number: TN911.22

On-line Access: 2013-01-03

Received: 2012-06-27

Revision Accepted: 2012-10-23

Crosschecked: 2012-12-03

Cited: 2

Clicked: 3645

Citations:  Bibtex RefMan EndNote GB/T7714

-   Go to

Article info.
1. Reference List
Open peer comments

Journal of Zhejiang University SCIENCE C 2013 Vol.14 No.1 P.30-41


An LDPC coded cooperative MIMO scheme over Rayleigh fading channels with unknown channel state information

Author(s):  Shun-wai Zhang, Feng-fan Yang, Lei Tang

Affiliation(s):  College of Electronic and Information Engineering, Nanjing University of Aeronautics and Astronautics, Nanjing 210016, China

Corresponding email(s):   zhshwa@163.com, yffee@nuaa.edu.cn, tanglei811019@163.com

Key Words:  Cooperative multiple-input multiple-output (MIMO), Repeat-accumulate (RA) codes, Bilayer Tanner graph, Spatio-temporal recursive least squares (ST-RLS) algorithm, Joint ‘, Min-Sum’, iterative decoding

Shun-wai Zhang, Feng-fan Yang, Lei Tang. An LDPC coded cooperative MIMO scheme over Rayleigh fading channels with unknown channel state information[J]. Journal of Zhejiang University Science C, 2013, 14(1): 30-41.

@article{title="An LDPC coded cooperative MIMO scheme over Rayleigh fading channels with unknown channel state information",
author="Shun-wai Zhang, Feng-fan Yang, Lei Tang",
journal="Journal of Zhejiang University Science C",
publisher="Zhejiang University Press & Springer",

%0 Journal Article
%T An LDPC coded cooperative MIMO scheme over Rayleigh fading channels with unknown channel state information
%A Shun-wai Zhang
%A Feng-fan Yang
%A Lei Tang
%J Journal of Zhejiang University SCIENCE C
%V 14
%N 1
%P 30-41
%@ 1869-1951
%D 2013
%I Zhejiang University Press & Springer
%DOI 10.1631/jzus.C1200207

T1 - An LDPC coded cooperative MIMO scheme over Rayleigh fading channels with unknown channel state information
A1 - Shun-wai Zhang
A1 - Feng-fan Yang
A1 - Lei Tang
J0 - Journal of Zhejiang University Science C
VL - 14
IS - 1
SP - 30
EP - 41
%@ 1869-1951
Y1 - 2013
PB - Zhejiang University Press & Springer
ER -
DOI - 10.1631/jzus.C1200207

This paper describes a coded cooperative multiple-input multiple-output (MIMO) scheme, where structured low-density parity-check (LDPC) codes belonging to a family of repeat-accumulate (RA) codes are employed. The outage probability of the scheme over Rayleigh fading channels is deduced. In an unknown channel state information (CSI) scenario, adaptive transversal filters based on a spatio-temporal recursive least squares (ST-RLS) algorithm are adopted in the destination to realize receive diversity gain. Also, a joint ‘;min-Sum’; iterative decoding is effectively carried out in the destination. Such a decoding algorithm agrees with the bilayer Tanner graph that can be used to fully characterize two distinct structured LDPC codes employed by the source and relay. Simulation results verify the effectiveness of the adopted filter in the coded cooperative MIMO scheme. Theoretical analysis and numerical simulations show that the LDPC coded cooperative MIMO scheme can well combine cooperation diversity, multi-receive diversity, and channel coding gains, and clearly outperforms coded noncooperation schemes under the same conditions.

Darkslateblue:Affiliate; Royal Blue:Author; Turquoise:Article


[1]Arablouei, R., Dogancay, K., 2011. Modified RLS algorithm with enhanced tracking capability for MIMO channel estimation. Electr. Lett., 47(19):1101-1102.

[2]Bao, X., 2009. Wireless User Cooperation Strategies, Coding Schemes, and Applications. PhD Thesis, Lehigh University, Lehigh, USA, p.75-138.

[3]Berrou, C., Glavieux, A., 1996. Near optimum error correcting coding and decoding: turbo-codes. IEEE Trans. Commun., 44(10):1261-1271.

[4]Chakrabarti, A., de Baynast, A., Sabharwal, A., Aazhang, B., 2007. Low density parity check codes for the relay channel. IEEE J. Sel. Areas Commun., 25(2):280-291.

[5]Chen, J., Dholakia, A., Eleftheriou, E., Fossorier, M.P.C., Hu, X.Y., 2005. Reduced-complexity decoding of LDPC codes. IEEE Trans. Commun., 53(8):1288-1299.

[6]Cheng, X., Wang, C., Wang, H., 2012. Cooperative MIMO channel models and multi-link spatial correlation properties. IEEE J. Sel. Areas Commun., 30(2):388-396.

[7]Cover, T., Gamal, A., 1979. Capacity theorems for the relay channel. IEEE Trans. Inf. Theory, 25(5):572-584.

[8]Gallager, R.G., 1963. Low Density Parity Check Codes. MIT Press, Cambridge, USA, p.4-62.

[9]Haykin, S., 2002. Adaptive Filter Theory (4th Ed.). Prentice Hall, Inc., Upper Saddle River, New Jersey, p.436-465.

[10]Hunter, T.E., 2004. Coded Cooperation: a New Framework for User Cooperation in Wireless Network. PhD Thesis, the University of Texas at Dallas, Dallas, USA, p.5-120.

[11]Janani, M., Hedayat, A.H., Hunter, T.E., Nosratinia, A., 2004. Coded cooperation in wireless communications: space-time transmission and iterative decoding. IEEE Trans. Signal Process., 52(2):362-371.

[12]Jin, H., Khandekar, A., McEliece, R., 2000. Irregular Repeat Accumulate Codes. 2nd Int. Symp. on Turbo Codes and Related Topics, p.1-8.

[13]Laneman, J., Wornell, G., Tse, D., 2001. An Efficient Protocol for Realizing Cooperative Diversity in Wireless Networks. IEEE Int. Symp. on Information Theory, p.294-297.

[14]Li, C., Yue, G., Khojastepour, M.A., Wang, X., Madihian, M., 2008a. LDPC-code cooperative relay systems: performance analysis and code design. IEEE Trans. Commun., 56(3):485-496.

[15]Li, C., Yue, G., Wang, X., Khojastepour, M.A., 2008b. LDPC code design for half-duplex cooperative relay. IEEE Trans. Wirel. Commun., 7(11):4558-4567.

[16]Li, J., Yuan, J., Malaney, R., Xiao, M., 2011a. Binary Field Network Coding Design for Multiple-Source Multiple Relay Networks. IEEE Int. Conf. on Communications, p.1-6.

[17]Li, J., Yuan, J., Malaney, R., Azmi, M.H., Xiao, M., 2011b. Network coded LDPC coded design for a multi-source relaying system. IEEE Trans. Wirel. Commun., 10(5):1538-1551.

[18]Li, J., Yuan, J., Malaney, R., Xiao, M., Chen, W., 2012. Full-diversity binary frame-wise network coding for multiple-source multiple-relay networks over slow fading channels. IEEE Trans. Veh. Technol., 61(3):1346-1360.

[19]Li, P., de Lamare, R.C., 2012. Adaptive decision-feedback detection with constellation constraints for MIMO systems. IEEE Trans. Veh. Technol., 61(2):853-859.

[20]Razaghi, P., Yu, W., 2007. Bilayer low-density parity-check codes for decode-and-forward in relay channels. IEEE Trans. Inf. Theory, 53(10):3723-3739.

[21]Sayed, A.H., Kailath, T., 1994. A state-space approach to adaptive RLS filtering. IEEE Signal Process. Mag., 11(3):18-60.

[22]Sendonaris, A., Erkip, E., Aazhang, B., 2003. User cooperation diversity part I: system description. IEEE Trans. Commun., 51(11):1927-1938.

[23]Sun, R., Liu, J., Zhang, P., Bai, B., 2011. On the Rateless Character of Irregular RA Codes. IEEE Workshops of Int. Conf. on Advanced Information Networking and Applications, p.297-301.

[24]ten Brink, S., Kramer, G., 2004. Design of repeat-accumulate codes for iterative detection and decoding. IEEE Trans. Signal Process., 51(11):2764-2772.

[25]Wang, C.X., Hong, X., Ge, X., Cheng, X., Zhang, G., Thompson, J., 2010. Cooperative MIMO channel models: a survey. IEEE Commun. Mag., 48(2):80-87.

[26]Xiao, L., Fuja, T.E., Kliever, J., Costello, D.J., 2007. A network coding approach to cooperative diversity. IEEE Trans. Inf. Theory, 53(10):3714-3722.

[27]Xiao, M., Skoglund, M., 2010. Multiple-user cooperative communications based on linear network coding. IEEE Trans. Commun., 58(12):3345-3351.

[28]Yang, M., Ryan, W.E., Li, Y., 2004. Design of efficiently encodable moderate-length high-rate irregular LDPC codes. IEEE Trans. Commun., 52(4):564-571.

[29]Zhang, Z., Duman, T.M., 2005. Capacity-approaching turbo coding and iterative decoding for relay channels. IEEE Trans. Commun., 53(11):1895-1905.

[30]Zhou, Y., Zheng, B., Zhu, J., 2009. Outage analysis of opportunistic cooperation over Rayleigh fading channels. IEEE Trans. Wirel. Commun., 8(6):3077-3085.

Open peer comments: Debate/Discuss/Question/Opinion


Please provide your name, email address and a comment

Journal of Zhejiang University-SCIENCE, 38 Zheda Road, Hangzhou 310027, China
Tel: +86-571-87952783; E-mail: cjzhang@zju.edu.cn
Copyright © 2000 - Journal of Zhejiang University-SCIENCE