Diversity Analysis of coded SVD Schemes for MIMO Spatial Multiplexing Systems

When channel state information (CSI) is available at both transmit and receive sides, singular value decomposition (SVD) converts the MIMO channel into parallel subchannels. It is well-known that the diversity gain of the SVD scheme is limited by the subchannel gain with the smallest singular value. The SVD scheme can be combined with error correcting codes to compensate for the performance loss due to the smallest subchannel gain. In this paper, we provide the analysis of the diversity order for coded SVD schemes with arbitrary system configurations. When utilizing channel coding of code rate R
_c
for systems which transmit N streams with N
_t
transmit and N
_r
receive antennas, the maximum diversity order of the coded SVD schemes is derived as (N
_t
- lceilN . R
_c
rceil +1)(N
_r
- lceilN . R
_c
rceil +1). This analysis result shows that there is a tradeoff of the code rate and the diversity order in the coded SVD scheme and provides an insight for code design.