﻿
 doi:

DOI: 10.3724/SP.J.1146.2010.01117

Journal of Electronics & Information Technology (电子与信息学报) 2011/33:6 PP.1350-1355

## Optimum Design of Closed-loop Macro Diversity Scheme for Cooperative Base Stations

• Zou Ying-quan 1,2   Li Chun-guo 1   Yang Lu-xi 1
• 1.School of Information Science and Engineering, Southeast University,Nanjing,210096,China
• 2.College of Electronic and Information Engineering, Nanjing University of Information Science and Technology,Nanjing,210044,China

Abstract：
The optimum design of the cooperative precoding matrix is investigated for the system consisted of cooperative multi-antenna base stations and one multi-antenna mobile terminal. A mathematical model is first established for the cooperative precoding matrix optimization which is based on the minimization of the mean squared error. In order to deal with the difficulty as a result of the block diagonal structure of the cooperative precoding matrix, the original problem is then converted into an equivalent problem which involves a long column vector consisted of all non-zero elements in the block diagonal cooperative matrix. With the equivalent problem, the Lagrangian multiplier method is finally employed to obtain the optimum solution in an analytical form to the original problem. Moreover, based on this analytical expression of Cooperative Multi-Points (CoMP) precoder, an iterative algorithm is developed to jointly optimize the precoder of CoMP and the receiver of MT. Numerical simulations show the effectiveness of the proposed cooperative precoding schemes in terms of bit error rate, symbol error rate and the spectral efficiency of the whole system.

Key words：Wireless communication,Cooperative Multi-Points (CoMP),Closed-loop macro diversity,Cooperative precoding matrix,Multi-Input Multi-Output (MIMO),Iterative algorithm

ReleaseDate：2014-07-21 15:50:28

[1] Zhang H and Dai H. Cochannel interference mitigation and cooperative processing in downlink multicell multiuser MIMO networks. EURASIP Journal on Wireless Communications and Networking, Special Issue on Multiuser MIMO Networks, 2004, (2): 222-235.

[2] Skjevling H, Gesbert D, and Hjørungnes A. Precoded distributed space-time block codes in cooperative diversity-based downlink. IEEE Transactions on Wireless Communications, 2007, 6(12): 4209-4214.

[3] Tölli A, Codreanu M, and Juntti M. Cooperative MIMO- OFDM cellular system with soft handover between distributed base station antennas. IEEE Transactions on Wireless Communications, 2008, 7(4): 1428-1440.

[4] Bhagavatula R, Heath R W, and Rao Bhaskar. Limited feedback with joint CSI quantization for multicell cooperative generalized eigenvector beamforming. Proc. of IEEE Conference on Acoustics Speech and Signal Processing (ICASSP’10), Dallas, TX, USA, March 2010: 2838-2841.

[5] Verde F, Darsena D, and Scaglione A. Cooperative randomized MIMO-OFDM downlink for multicell networks: design and analysis. IEEE Transactions on Signal Processing, 2010, 58(1): 384-402.

[6] Laneman J N, Tse D, and Wornell G W. Cooperative diversity in wireless networks: efficient protocols and outage behavior. IEEE Transactions on Information Theory, 2004, 50(12): 3062-3080.

[7] Sendonaris A, Erkip E, and Aazhang B. User cooperation diversity – Part I and II: system description. IEEE Transactions on Communications, 2003, 51(11): 1927-1948.

[8] R1-084144. Per-cell precoding methods for downlink joint processing CoMP. ETRI, 3GPP TSG RAN WG1 Meeting #55, Prague, Czech Rep., November 2008.

[9] R1-084322. Scalable CoMP solutions for LTE Advanced. Nokia, 3GPP TSG-RAN WG1 Meeting #55, Prague, Czech Republic, Nov. 2008.

[10] R1-084400. Coordinated Multi-Point downlink transmission in LTE-Advanced. Qualcomm Europe, 3GPP TSG-RAN WG1 #55, Prague, Czech Republic, Nov. 2008.

[11] R1-090585. Joint Processing Downlink COMP Precoding Support. Texas Instruments, 3GPP TSG RAN WG1 #56, Athens, Greece, Feb. 2009.

[12] R1-090942. Aspects of Joint Processing for Downlink CoMP. CATT, 3GPP TSG RAN WG1 meeting #56, Athens, Greece, Feb. 2009.

[13] R1-092160. DL non-coherent multi-user MIMO joint transmission (MU-MIMO JT) scheme and system performance evaluations in TDD systems. Alcatel-Lucent Shanghai Bell, Alcatel-Lucent, 3GPP TSG RAN WG1 Meeting #57, San Francisco, USA, May 2009.

[14] R1-092696. Hierarchical feedback in support of downlink CoMP operation. Qualcomm Europe, 3GPP TSG-RAN WG1 #57bis, Los Angeles, USA, June 2009.

[15] Payec P, Piantanida P, Visoz R, and Berthet A O. Transceiver design for sum-MSE optimization in MIMO- MAC with imperfect channel estimation. Proc. of IEEE 42nd Asilomar Conference on Signals, Systems and Computers. Pacific Grove, CA, Oct. 2008: 321-325.

[16] Guthy C, Utschick W, Hunger R, and Joham M. Weighted rate maximization in the MIMO MAC with linear transceivers: algorithmic solutions. Proc. of IEEE 43rd Asilomar Conference on Signals, Systems and Computers, Pacific Grove, CA, Nov. 2009: 1474-1478.

[17] Soysal A and Ulukus S. Optimum power allocation for single-user MIMO and multi-user MIMO-MAC with partial CSI. IEEE Journal on Selected Areas in Communications, 2007, 25(7): 1402-1412.

[18] Han S W, Kim H, Han Y, and Cioffi J M. Efficient power allocation schemes for nonconvex sum-rate maximization on Gaussian cognitive MAC. IEEE Transactions on Communications, 2010, 58(3): 753-757.