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Optimum Linear Constellation Precoding for Space Time Wireless Systems

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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.

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Authors and Affiliations

  1. Department of Electrical Engineering, Indian Institute of Technology Delhi, Hauz Khas, New Delhi, 110016, India

    R. Vishwanath & Manav R. Bhatnagar

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  1. R. Vishwanath
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  2. Manav R. Bhatnagar
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Correspondence to R. Vishwanath.

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Manav R. Bhatnagar was born in Moradabad, India in 1976. He did his B.E. in Electronics in 1997 and Master of Technology in Communications Engineering in 2005 from Indian Institute of Technology Delhi, India. He has worked as lecturer in Moradabad Institute of Technology, Moradabad, India from 1998--2003. He is currently pursuing PhD from Indian Institute of Technology Delhi, India. His research interests include Routing in Optical Networks, Signal Processing in Wireless Communications and Image Processing. He is a member of the IEEE.

R Vishwanath was born in Hyderabad, India in 1982. He did his B.E. in Electronics and Communications Engineering from Birla Institute of Technology, Ranchi, India in 2002 and Master of Technology in Communications Engineering in 2005 from Indian Institute of Technology Delhi, India. Currently he is pursuing PhD from Indian Institute of Technology Delhi, India. His research interests include Routing in Optical Networks, Signal Processing, Wireless Communications and Image Processing. He is a member of the IEEE.

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Vishwanath, R., Bhatnagar, M.R. Optimum Linear Constellation Precoding for Space Time Wireless Systems. Wireless Pers Commun 40, 511–521 (2007). https://doi.org/10.1007/s11277-006-9118-6

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  • DOI: https://doi.org/10.1007/s11277-006-9118-6

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