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The authors propose two algorithms to solve sum meansquare error (MSE) minimisation and mixed quality of service (QoS) requirement problems for a multiuser multipleinputmultipleoutput system with multiple linear transmit covariance constraints. These original problems in the downlink are complicated because of the coupled structure of the transmitter filters. To overcome this issue, MSE duality proposed in the literature is extended at different levels for a general linear transmit covariance constraint. Exploiting the general sumMSE duality and subgradient method, the sumMSE minimisation algorithm is proposed first for multiple linear transmit covariance constraints. Secondly, a novel algorithm is proposed to solve mixed QoS requirement problem, where multiple linear transmit covariance constraints are incorporated in the design of the receiver filters in the equivalent multiple access channel. This algorithm is developed based on streamwise MSE duality and alternating optimisation framework . Simulation results have been provided to validate the convergence of the proposed algorithms. In addition, the proposed sumMSE minimisation algorithm with perantenna power constraints outperforms the existing algorithm in terms of achieved sumMSE and power consumption at each transmit antenna.
References


1)

1. Hunger, R., Joham, M., Utschick, W.: ‘On the MSEduality of the broadcast channel and the multiple access channel’, IEEE Trans. Signal Process., 2009, 57, (2), pp. 698–713.

2)

2. Zhang, L., Zhang, R., Liang, Y.C., Xin, Y., Poor, H.V.: ‘On Gaussian MIMO BCMAC duality with multiple transmit covariance constraints’, IEEE Trans. Inf. Theory, 2012, 58, (4), pp. 2064–2078.

3)

3. Shi, S., Schubert, M., Boche, H.: ‘Capacity balancing for multiuser MIMO systems’. Proc. IEEE ICASSP, Honolulu, HI, April 2007, vol. 3, pp. III397–III400.

4)

4. Costa, M.: ‘Writing on dirty paper’, IEEE Trans. Inf. Theory, 1983, 29, pp. 439–441.

5)

5. Weingarten, H., Steinberg, Y., Shamai, S.: ‘The capacity region of the Gaussian multipleinput multipleoutput broadcast channel’, IEEE Trans. Inf. Theory, 2006, 52, (9), pp. 3936–3964.

6)

6. Viswanath, P., Anantharam, V., Tse, D.: ‘Optimal sequences, power control and capacity of synchronous CDMA systems with linear MMSE multiuser receivers’, IEEE Trans. Inf. Theory, 1999, 45, pp. 1968–1983.

7)

7. Goldsmith, A.: ‘Wireless communications’ (Cambridge University Press, 2005).

8)

8. Jindal, N., Rhee, W., Viswanath, S., Jafar, A., Goldsmith, A.: ‘Sum power iterative waterfilling for multiantenna Gaussian broadcast channels’, IEEE Trans. Inf. Theory, 2005, 51, (4), pp. 1570–1580.

9)

9. Shi, S., Schubert, M., Boche, H.: ‘Downlink MMSE transceiver optimization for multiuser MIMO systems: duality and sumMSE minimization’, IEEE Trans. Signal Process., 2007, 55, (11), pp. 5436–5446.

10)

10. Schubert, M., Boche, H.: ‘Solution of the multiuser downlink beamforming problem with individual SINR constraints’, IEEE Trans. Veh. Technol., 2004, 53, (1), pp. 18–28.

11)

11. Zheng, G., Wong, K.K., Ng, T.S.: ‘Throughput maximization in linear multiuser MIMOOFDM downlink systems’, IEEE Trans. Veh. Technol., 2008, 57, (3), pp. 1993–1998.

12)

12. Wang, T., de Lamare, R., Schmeink, A.: ‘Joint receiver design and power allocation strategies for multihop wireless sensor networks’. Proc. Eighth Int. Symp. on Wireless Communication Systems (ISWCS'11), November 2011, pp. 86–90.

13)

13. Peng, T., de Lamare, R., Schmeink, A.: ‘Joint power allocation and receiver design for distributed spacetime coded cooperative MIMO systems’. Proc. Eighth Int. Symp. on Wireless Communication Systems (ISWCS'11), November 2011, pp. 427–431.

14)

14. Wang, J., Bengtsson, M.: ‘Simplified alternating optimization for robust MMSE MIMO transceiver’. Proc. Int. Conf. on Wireless Communications and Signal Processing (WCSP'11), November 2011, pp. 1–5.

15)

15. Tseng, F.S., Chang, M.Y., Wu, W.R.: ‘Robust MMSE transceiver design in amplifyandforward MIMO relay system with TomlinsonHarashima source precoding’. Proc. IEEE Wireless Communications and Networking Conf. (WCNC'12), April 2012, pp. 748–752.

16)

16. Shi, S., Schubert, M.: ‘MMSE transmit optimization for multiuser multiantenna systems’. Proc. IEEE ICASSP, Philadelphia, PA, USA, March 2005, vol. 3, pp. III409–III412.

17)

17. Cumanan, K., Musavian, L., Lambotharan, S., Gershman, A.B.: ‘SINR balancing technique for downlink beamforming in cognitive radio networks’, IEEE Signal Process. Lett., 2010, 17, (2), pp. 133–136.

18)

18. Cumanan, K., Krishna, R., Musavian, L., Lambotharan, S.: ‘Joint beamforming and user maximization techniques for cognitive radio networks based on branch and bound method’, IEEE Trans. Wirel. Commun., 2010, 9, (10), pp. 3082–3092.

19)

19. Musavian, L., Aissa, S.: ‘Outageconstrained capacity of spectrumsharing channels in fading environments’, IET Commun., 2008, 2, (6), pp. 724–732.

20)

20. Musavian, L., Aissa, S.: ‘Capacity and power allocation for spectrumsharing communications in fading channels’, IEEE Trans. Wirel. Commun., 2009, 8, (1), pp. 148–156.

21)

21. Cumanan, K., Tang, J., Lambotharan, S.: ‘Rate balancing based linear transceiver design for multiuser MIMO system with multiple linear transmit covariance constraints’. Proc. IEEE ICC 2011, Kyoto, Japan, June 2011, pp. 1–5.

22)

22. Shi, S., Schubert, M., Boche, H.: ‘Perantenna power constrained rate optimization for multiuser MIMO systems’. Proc. Int. ITG Workshop on Smart Antennas, February 2008, pp. 270–277.
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