Skip to main content
Log in

A reduced complexity zero-forcing beamformer design for multiuser MIMO systems

  • Original Paper
  • Published:
Optimization Letters Aims and scope Submit manuscript

Abstract

Zero-forcing beamforming under per-antenna power constraints is considered for rural applications. By exploring the structures of a deterministic line-of-sight channel matrix, some properties are found for the optimal weighting matrix. Particularly, some constraints can be removed from the original formulation. With these properties, a reduced complexity zero-forcing beamformer design is proposed. Numerical examples under several different scenarios are provided.

This is a preview of subscription content, log in via an institution to check access.

Access this article

Price excludes VAT (USA)
Tax calculation will be finalised during checkout.

Instant access to the full article PDF.

Fig. 1
Fig. 2
Fig. 3

Similar content being viewed by others

References

  1. Caire, G., Shamai (Shitz), S.: On the achievable throughput of multiatenna Gaussian broadcast channel. IEEE Trans. Inf. Theory 49, 1691–1706 (2003)

    Article  MATH  Google Scholar 

  2. Chiong, C.W.R., Rong, Y., Xiang, Y.: Channel estimation for two-way MIMO relay systems in frequency-selective fading environments. IEEE Trans. Wirel. Commun. 14, 399–409 (2015)

    Article  Google Scholar 

  3. He, Z., Jiang, W., Rong, Y.: Robust design for amplify-and-forward MIMO relay systems with direct link and imperfect channel information. IEEE Trans. Wirel. Commun. 14, 353–363 (2015)

    Article  Google Scholar 

  4. Wiesel, A., Eldar, Y.C., Shamai (Shitz), S.: Zero-forcing precoding and generalized inverses. IEEE Trans. Signal Process 56(9), 4409–4418 (2008)

    Article  MathSciNet  MATH  Google Scholar 

  5. Karakayali, K., Yates, R., Foschini, G., Valenzuela, R.: Optimal zero-forcing beamforming with per-antenna power constraints. In: IEEE International Symposium on Information Theory, pp. 101–105. Nice, France (2007)

  6. Li, B., Dam, H.H., Cantoni, A., Teo, K.L.: Some interesting properties for zero-forcing beamforming under per-antenna power constraints in rural areas. J. Global Optim. 62(4), 877–886 (2015)

    Article  MathSciNet  MATH  Google Scholar 

  7. Li, B., Dam, H.H., Cantoni, A., Teo, K.L.: A primal-dual interior point method for optimal zero-forcing beamformer design under per-antenna power constraints. Optim. Lett. 8(6), 1829–1843 (2014)

    Article  MathSciNet  MATH  Google Scholar 

  8. Dam, H.H., Cantoni, A.: Interior point method for optimum zero-forcing beamforming with per-antenna power constraints and optimal step size. Signal Process 106, 10–14 (2015)

    Article  Google Scholar 

  9. Li, B., Wu, C.Z., Dam, H.H., Cantoni, A., Teo, K.L.: A parallel low complexity zero-forcing beamformer design for multiuser MIMO systems via a regularized dual decomposition method. IEEE Trans. Signal Process. 63(16), 4179–4190 (2015)

    Article  MathSciNet  Google Scholar 

  10. Li, B., Dam, H.H., Cantoni, A., Teo, K.L.: A global optimal zero-forcing beamformer esign with signed power-of-two coefficients. J. Ind. Manage. Optim. 12(2), 595–607 (2016)

    Article  MATH  Google Scholar 

  11. Dam, H.H., Cantoni, A., Li, B.: A fast low complexity method for optimal zero-forcing beamformer MU-MIMO system. IEEE Signal Process. Lett. 22(9), 1443–1447 (2015)

    Article  Google Scholar 

  12. Li, B., Dam, H.H., Cantoni, A., Teo, K.L.: A first-order optimal zero-forcing beamformer design for multiuser MIMO systems via a regularized dual accelerated gradient method. IEEE Commun. Lett. 19(2), 195–198 (2015)

    Article  Google Scholar 

  13. Suzuki, H., Robertson, D., Ratnayake, N. L., Ziri-Castro, K.: Prediction and measurement of multiuser MIMO-OFDM channel in rural Australia. In: IEEE 75th Vehicular Technology Conference, pp. 1–5. Yokohama, Japan (2007)

Download references

Acknowledgements

This work was supported by a Discovery Grant from the Australia Research Council (No. DP120103859) and a grant from National Natural Science Foundation of China (No. 61701124).

Author information

Authors and Affiliations

Authors

Corresponding author

Correspondence to Bin Li.

Rights and permissions

Reprints and permissions

About this article

Check for updates. Verify currency and authenticity via CrossMark

Cite this article

Li, B., Feng, Z.G., Dam, H.H. et al. A reduced complexity zero-forcing beamformer design for multiuser MIMO systems. Optim Lett 12, 1373–1386 (2018). https://doi.org/10.1007/s11590-017-1182-1

Download citation

  • Received:

  • Accepted:

  • Published:

  • Issue Date:

  • DOI: https://doi.org/10.1007/s11590-017-1182-1

Keywords

Navigation