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

Young Tae Kim; Jaesin Kim; Jihoon Kim; Inkyu Lee

doi:10.1109/TCOMM.2011.081111.090447

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

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

^*Corresponding author for this work

Research output: Contribution to journal › Article › peer-review

Abstract

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 language	English
Article number	5997292
Pages (from-to)	3294-3300
Number of pages	7
Journal	IEEE Transactions on Communications
Volume	59
Issue number	12
DOIs	https://doi.org/10.1109/TCOMM.2011.081111.090447
Publication status	Published - 2011 Dec

Bibliographical note

Funding Information:
Paper approved by N. C. Beaulieu, the Editor for Wireless Communication Theory of the IEEE Communications Society. Manuscript received August 4, 2009; revised September 28, 2010, April 8, 2011, and June 1, 2011. Y.-T. Kim and I. Lee are with the School of Electrical Engineering, Korea University, Seoul, Korea (e-mail: reftm, [email protected]). J. Kim is with the Agency for Defense Development, Daejeon, Korea (e-mail: [email protected]). J. Kim is with Samsung Electronics, Suwon, Korea (e-mail: [email protected]). This work was supported by the National Research Foundation of Korea (NRF) grant funded by the Korea government (MEST) (No. 2010-0017909). The material in this paper was presented in part at the IEEE VTC ’09. Digital Object Identifier 10.1109/TCOMM.2011.081111.090447

Keywords

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

ASJC Scopus subject areas

Electrical and Electronic Engineering

Access to Document

10.1109/TCOMM.2011.081111.090447

Cite this

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title = "Exact symbol error rate and diversity analysis of orthogonalized spatial multiplexing systems with optimal precoding",

abstract = "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.",

keywords = "Spatial multiplexing, diversity analysis, multiple-input multiple-output (MIMO), symbol error rate (SER)",

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note = "Funding Information: Paper approved by N. C. Beaulieu, the Editor for Wireless Communication Theory of the IEEE Communications Society. Manuscript received August 4, 2009; revised September 28, 2010, April 8, 2011, and June 1, 2011. Y.-T. Kim and I. Lee are with the School of Electrical Engineering, Korea University, Seoul, Korea (e-mail: reftm, [email protected]). J. Kim is with the Agency for Defense Development, Daejeon, Korea (e-mail: [email protected]). J. Kim is with Samsung Electronics, Suwon, Korea (e-mail: [email protected]). This work was supported by the National Research Foundation of Korea (NRF) grant funded by the Korea government (MEST) (No. 2010-0017909). The material in this paper was presented in part at the IEEE VTC {\textquoteright}09. Digital Object Identifier 10.1109/TCOMM.2011.081111.090447",

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N2 - 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.

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

Abstract

Bibliographical note

Keywords

ASJC Scopus subject areas

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