Wednesday, May 30, 2007

Orthogonality Condition of Spatial Multiplexing

•Spatial Multiplexing is the main function of MIMO system. The spatial multiplexing gain that relates to throughput enhancement depends on orthogonality condition of MIMO antennas.
•In LOS or non-scattering MIMO environment or outdoor area, orthogonality condition is St x Sr/R>= l/M, where St and Sr are transmit and receive antenna spacings respectively, R is the range from transmit antennas to receive antennas, M is the number of receive antennas, the transmit antenna number N is not used in this condition.
•In NLOS or scattering MIMO environment or indoor area, orthogonality condition is [2 x Dt/(N-1)] x [2 x Dr/(M-1)]>=R x l/M, where Dt and Dr are transmit and receive scattering radii respectively, R is the range from transmit scattering center to receive scattering center, N and M are the numbers of transmit and receive antennas respectively.
–The scattering is made by scatterers in MIMO environment, which can be modeled by omni-directional ideal reflectors.
–The scatterers are assumed to be located sufficiently far from antennas for holding plane-wave assumption and further assumed such that Dt (or Dr) is much less than R for meeting local scattering condition.

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