Skip to main content

MMSE Beamforming for SC-FDMA Transmission over MIMO ISI Channels

Abstract

We consider transmit beamforming for single-carrier frequency-division multiple access (SC-FDMA) transmission over frequency-selective multiple-input multiple-output (MIMO) channels. The beamforming filters are optimized for minimization of the sum of the mean-squared errors (MSEs) of the transmitted data streams after MIMO minimum mean-squared error linear equalization (MMSE-LE), and for minimization of the product of the MSEs after MIMO MMSE decision-feedback equalization (MMSE-DFE), respectively. We prove that for SC-FDMA transmission in both cases eigenbeamforming, diagonalizing the overall channel, together with a nonuniform power distribution is the optimum beamforming strategy. The optimum power allocation derived for MMSE-LE is similar in spirit to classical results for the optimum continuous-time transmit filter for linear modulation formats obtained by Berger/Tufts and Yang/Roy, whereas for MMSE-DFE the capacity achieving waterfilling strategy well known from conventional single-carrier transmission schemes is obtained. Moreover, we present a modification of the beamformer design to mitigate an increase of the peak-to-average power ratio (PAPR) which is in general associated with beamforming. Simulation results demonstrate the high performance of the proposed beamforming algorithms.

Publisher note

To access the full article, please see PDF.

Author information

Affiliations

Authors

Corresponding author

Correspondence to Wolfgang H. Gerstacker.

Rights and permissions

Reprints and Permissions

About this article

Cite this article

Dang, U.L., Ruder, M.A., Schober, R. et al. MMSE Beamforming for SC-FDMA Transmission over MIMO ISI Channels. EURASIP J. Adv. Signal Process. 2011, 614571 (2011). https://doi.org/10.1155/2011/614571

Download citation

Keywords

  • Power Allocation
  • Optimum Power Allocation
  • Beamforming Algorithm
  • Beamformer Design
  • Transmitted Data Stream
\