On the equivalence between the MMSE receiver and Tikhonov regularization

  • Authors:
  • Masoud Alghoniemy

  • Affiliations:
  • Department of Electrical Engineering, University of Alexandria, Alexandria, Egypt

  • Venue:
  • SoftCOM'09 Proceedings of the 17th international conference on Software, Telecommunications and Computer Networks
  • Year:
  • 2009

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Abstract

In the Multi Input Multi Output (MIMO) antenna system, it is known that the MMSE receiver is equivalent to Tikhonov regularization. Given that, we develop a generalized receiver based on regularization with different penalty functions that penalize the received symbols outside the convex hull of the modulating constellation, namely, dead-zone and infinity norm penalty functions. Simulation results show that the proposed receiver outperform the MMSE receiver by as high as 5-dB at low SNR and 1-dB at high SNR.