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Diversity Order of Spatial Multiplexing with Transmit Antenna Correlation Based Precoding

, , , , , and . Lecture Notes in Computer Science (LNCS): Computer Aided Systems Theory - EUROCAST 2009 (12th International Conference, Las Palmas de Gran Canaria, Spain, February 2009, revised selected papers), 5717, Springer, (2009)

Abstract

Spatial Multiplexing (SM) is an effective means for enhancing the transmission data rate in Multiple-Input Multiple-Output (MIMO) systems, particularly when used in combination with precoding techniques. However, it is not always obvious to connect the performance of such a system to its number of data streams and antennas. In this paper, the diversity order of a SM MIMO system using a Minimum Mean Square Error (MMSE) receiver is analytically calculated when a precoder based on transmit antenna correlation is included at the transmitter. It is shown that it is given by d=N_r-N_s+1 where N_r is the number of receive antennas and N_s is the number of data streams. This result is confirmed by simulations. Although enabling a Signal-to-Noise Ratio (SNR) gain, such a precoder is thus not able to improve the diversity order with respect to a non-precoded SM MIMO system.

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