Exact symbol error rate and diversity analysis of orthogonalized spatial multiplexing systems with optimal precoding

Young Tae Kim, Jaesin Kim, Jihoon Kim, Inkyu Lee

Research output: Contribution to journalArticle


Orthogonalized spatial multiplexing (OSM) systems with optimal precoding, denoted by POSM, was recently proposed which allows a single-symbol decodable maximum likelihood receiver in closed-loop multiple-input multiple-output (MIMO) systems. It was shown that the performance of the POSM is identical to that of the optimal closed-loop MIMO system in terms of the minimum distance. In this letter, we derive an exact symbol error rate (SER) expression of the POSM for 4-QAM and 16-QAM in Rayleigh fading channels. By using polar coordinates and the singular value distributions, the final expression of the SER can be evaluated with a single-integral form. Also, in the high SNR regime, we obtain a simple average SER expression of the POSM which shows that the POSM with two transmitting antennas achieves full diversity. Simulation results confirm the accuracy of our derived analysis.

Original languageEnglish
Article number5997292
Pages (from-to)3294-3300
Number of pages7
JournalIEEE Transactions on Communications
Issue number12
Publication statusPublished - 2011 Dec 1



  • Spatial multiplexing
  • diversity analysis
  • multiple-input multiple-output (MIMO)
  • symbol error rate (SER)

ASJC Scopus subject areas

  • Electrical and Electronic Engineering

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