Optimum Linear Constellation Precoding for Space Time Wireless Systems

  • Authors:
  • R. Vishwanath;Manav R. Bhatnagar

  • Affiliations:
  • Department of Electrical Engineering, Indian Institute of Technology Delhi, New Delhi, India 110016;Department of Electrical Engineering, Indian Institute of Technology Delhi, New Delhi, India 110016

  • Venue:
  • Wireless Personal Communications: An International Journal
  • Year:
  • 2007

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Abstract

Space Time Constellation Rotating Codes (STCRs) achieve a rate of 1 symbol/s/Hz and enjoy a diversity N tNr for arbitrary number of transmit and receive antennas N t and N r over quasi static fading channels. Optimum Unitary STCRs based on Algebraic design tools, which achieve the upper bound on coding gain for all linear precoders over Quadrature Amplitude Modulation (QAM) and Pulse Amplitude Modulation (PAM), are known only when the number of transmit antennas is power of two. In this paper we design optimum unitary LCPs for even number of transmit antennas. We also present some unitary precoders for odd number of transmit antennas which clearly out-perform the existing unitary non-optimum precoders. Performance results corroborate our analysis.