Exact bit error probabilities and packet error statistics for SVD transmission over time-varying dual-branch MIMO systems obtained by a Markov model

Authors:  Predrag N. Ivanis, Milena M. Stojnic, Dusan B. Drajic

Abstract:
Using a finite state Markov channel model, we develop an analytical method for evaluation of the packet error structure in multiple-input multiple-output (MIMO) systems based on singular value decomposition (SVD). We consider dual-branch MIMO systems, with either two transmit and arbitrary number of receive antennas, or arbitrary number of transmit and two receive antennas. The corresponding Markov modelparameters are obtainedusing anovel closed-formexpressions forprobabilitydensity functionand level crossing rate of the signal-to-noise ratio at the output of eigenchannels in a MIMO system, derived for a case of Rayleigh propagation, imperfect channel state information and any fixed power allocation. The exact bit error rate for the transmission of quadrature amplitude modulated (QAM) symbols through the eigenchannels is derived in polynomial closed form. Furthermore, by using the developed Markov model,thepacket error statistics inthe corresponding eigenchannels aredetermined, andthe closed-form analytical expression for the system throughput is derived when ‘go-back-N’ automatic repeat request procedure is applied in time-varying eigenchannels. The analytical results are validated by using Monte Carlo simulations.

Keywords:
Automatic repeat request
Beamforming
Bit error rate
Markov model
Multiple-input multiple-output systems
Packet error structure
Singular value decomposition

Published in: AEÜ-International Journal of Electronics and Communications (Volume 67, Issue 2, February 2013)

Publisher: Elsevier

ISSN Information: 1434-8411

Exact bit error probabilities and packet error statistics for SVD transmission over time-varying dual-branch MIMO systems obtained by a Markov model

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