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A Tight Upper Bound on the PEP of a Space-Time Coded System

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2 Author(s)
Mallik, R.K. ; Department of Electrical Engineering, Indian Institute of Technology - Delhi, Hauz Khas, New Delhi 110016, India. E-mail: rkmallik@ee.iitd.ernet.in ; Zhang, Q.T.

For a space-time coded system subject to flat Rayleigh fading, we formulate the pairwise error probability (PEP) in a unified expression, which accounts for the cases of perfect channel-state information, imperfect channel estimation, and unknown channel. The unified PEP expression is then bounded by an exponential-type inequality leading to a tight upper bound on the PEP. The bound indicates that to design a good code set, we not only need to maximize the geometric mean of the nonzero eigenvalues of the code difference matrix, but also minimize their harmonic mean.

Published in:

Communications, 2006. ICC '06. IEEE International Conference on  (Volume:3 )

Date of Conference:

June 2006

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