### Abstract

This paper analyzes the output signal-to-interference-plus-noise ratio (SINR) for a multiple-input multiple-output (MIMO) multicarrier code division multiple access (MC-CDMA) system with minimum mean square error receivers. Previous work on a single antenna MC-CDMA system is based on convergence of the limiting spectral distribution of large dimensional sample covariance matrices and the asymptotic freeness between random matrices. These concepts cannot directly be applied to a MIMO MC-CDMA system because some assumptions for single antenna do not match the case of multiple antenna. Therefore, this paper expands the concept of convergence and freeness to MIMO system by using extended Haar unitary random matrix and the Marcěnko-Pastur law. The analysis shows that the output SINR asymptotically converges to a deterministic value with a closed form expression. The analysis is used to obtain improved bit error rate calculation as verified by simulations.

Original language | English |
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Title of host publication | 2006 IEEE 63rd Vehicular Technology Conference, VTC 2006-Spring - Proceedings |

Pages | 1501-1505 |

Number of pages | 5 |

Publication status | Published - 2006 Dec 1 |

Event | 2006 IEEE 63rd Vehicular Technology Conference, VTC 2006-Spring - Melbourne, Australia Duration: 2006 May 7 → 2006 Jul 10 |

### Publication series

Name | IEEE Vehicular Technology Conference |
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Volume | 3 |

ISSN (Print) | 1550-2252 |

### Other

Other | 2006 IEEE 63rd Vehicular Technology Conference, VTC 2006-Spring |
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Country | Australia |

City | Melbourne |

Period | 06/5/7 → 06/7/10 |

### Fingerprint

### All Science Journal Classification (ASJC) codes

- Computer Science Applications
- Electrical and Electronic Engineering
- Applied Mathematics

### Cite this

*2006 IEEE 63rd Vehicular Technology Conference, VTC 2006-Spring - Proceedings*(pp. 1501-1505). [1683086] (IEEE Vehicular Technology Conference; Vol. 3).

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*2006 IEEE 63rd Vehicular Technology Conference, VTC 2006-Spring - Proceedings.*, 1683086, IEEE Vehicular Technology Conference, vol. 3, pp. 1501-1505, 2006 IEEE 63rd Vehicular Technology Conference, VTC 2006-Spring, Melbourne, Australia, 06/5/7.

**Asymptotic analysis of downlink MIMO multicarrier CDMA systems with a minimum mean square error receiver.** / Kyeongyeon, Kim; Jaesang, Ham; Chungyong, Lee; Shim, Seijoon.

Research output: Chapter in Book/Report/Conference proceeding › Conference contribution

TY - GEN

T1 - Asymptotic analysis of downlink MIMO multicarrier CDMA systems with a minimum mean square error receiver

AU - Kyeongyeon, Kim

AU - Jaesang, Ham

AU - Chungyong, Lee

AU - Shim, Seijoon

PY - 2006/12/1

Y1 - 2006/12/1

N2 - This paper analyzes the output signal-to-interference-plus-noise ratio (SINR) for a multiple-input multiple-output (MIMO) multicarrier code division multiple access (MC-CDMA) system with minimum mean square error receivers. Previous work on a single antenna MC-CDMA system is based on convergence of the limiting spectral distribution of large dimensional sample covariance matrices and the asymptotic freeness between random matrices. These concepts cannot directly be applied to a MIMO MC-CDMA system because some assumptions for single antenna do not match the case of multiple antenna. Therefore, this paper expands the concept of convergence and freeness to MIMO system by using extended Haar unitary random matrix and the Marcěnko-Pastur law. The analysis shows that the output SINR asymptotically converges to a deterministic value with a closed form expression. The analysis is used to obtain improved bit error rate calculation as verified by simulations.

AB - This paper analyzes the output signal-to-interference-plus-noise ratio (SINR) for a multiple-input multiple-output (MIMO) multicarrier code division multiple access (MC-CDMA) system with minimum mean square error receivers. Previous work on a single antenna MC-CDMA system is based on convergence of the limiting spectral distribution of large dimensional sample covariance matrices and the asymptotic freeness between random matrices. These concepts cannot directly be applied to a MIMO MC-CDMA system because some assumptions for single antenna do not match the case of multiple antenna. Therefore, this paper expands the concept of convergence and freeness to MIMO system by using extended Haar unitary random matrix and the Marcěnko-Pastur law. The analysis shows that the output SINR asymptotically converges to a deterministic value with a closed form expression. The analysis is used to obtain improved bit error rate calculation as verified by simulations.

UR - http://www.scopus.com/inward/record.url?scp=34047100338&partnerID=8YFLogxK

UR - http://www.scopus.com/inward/citedby.url?scp=34047100338&partnerID=8YFLogxK

M3 - Conference contribution

AN - SCOPUS:34047100338

SN - 0780393929

SN - 9780780393929

T3 - IEEE Vehicular Technology Conference

SP - 1501

EP - 1505

BT - 2006 IEEE 63rd Vehicular Technology Conference, VTC 2006-Spring - Proceedings

ER -