### Abstract

Two numerical approaches, the Robust-Generalized Iterative Approach (R-GIA) and the Robust-Transmit Covariance Optimization Approach (R-TCOA), are proposed for jointly designing the minimum mean square error (MMSE) precoders and decoders of uplink multiuser multiple-input-multiple-output (MIMO) systems with arbitrary linear equality power constraints and possibly imperfect channel state information (CSI). The R-TCOA always gives optimum solutions but is only applicable when the rank constraints on the precoders are relaxed, the spatial correlation matrix for the transmit antennas of each user is an identity matrix, and there exists a scalar such that squaring the source covariance matrices is the same as multiplying them by it. The statistics of the CSI error also need to be the same for all users if the power constraints of the users are interdependent. The R-GIA, on the other hand, has no such restrictions. But whenever the R-TCOA is applicable, both approaches converge, and all the transmit covariance matrices are full rank, the two solutions are actually equivalent (i.e. the R-GIA is also optimum)! Numerical results show that these two robust approaches, for the most part, outperform their non-robust counterparts in various different channel correlation scenarios.

Original language | English (US) |
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Title of host publication | 4th International Conference on Signal Processing and Communication Systems, ICSPCS'2010 - Proceedings |

DOIs | |

State | Published - 2010 |

Event | 4th International Conference on Signal Processing and Communication Systems, ICSPCS'2010 - Gold Coast, QLD, Australia Duration: Dec 13 2010 → Dec 15 2010 |

### Other

Other | 4th International Conference on Signal Processing and Communication Systems, ICSPCS'2010 |
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Country | Australia |

City | Gold Coast, QLD |

Period | 12/13/10 → 12/15/10 |

### Fingerprint

### Keywords

- Imperfect CSI
- Joint MMSE precoder and decoder
- Per-antenna power constraint
- Robust
- Uplink multiuser MIMO

### ASJC Scopus subject areas

- Computer Networks and Communications
- Signal Processing

### Cite this

*4th International Conference on Signal Processing and Communication Systems, ICSPCS'2010 - Proceedings*[5709744] https://doi.org/10.1109/ICSPCS.2010.5709744

**Robust MMSE transceiver designs for uplink MIMO systems subject to arbitrary linear equality power constraints.** / Lu, Enoch; Lu, I-Tai; Li, Jialing.

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

*4th International Conference on Signal Processing and Communication Systems, ICSPCS'2010 - Proceedings.*, 5709744, 4th International Conference on Signal Processing and Communication Systems, ICSPCS'2010, Gold Coast, QLD, Australia, 12/13/10. https://doi.org/10.1109/ICSPCS.2010.5709744

}

TY - GEN

T1 - Robust MMSE transceiver designs for uplink MIMO systems subject to arbitrary linear equality power constraints

AU - Lu, Enoch

AU - Lu, I-Tai

AU - Li, Jialing

PY - 2010

Y1 - 2010

N2 - Two numerical approaches, the Robust-Generalized Iterative Approach (R-GIA) and the Robust-Transmit Covariance Optimization Approach (R-TCOA), are proposed for jointly designing the minimum mean square error (MMSE) precoders and decoders of uplink multiuser multiple-input-multiple-output (MIMO) systems with arbitrary linear equality power constraints and possibly imperfect channel state information (CSI). The R-TCOA always gives optimum solutions but is only applicable when the rank constraints on the precoders are relaxed, the spatial correlation matrix for the transmit antennas of each user is an identity matrix, and there exists a scalar such that squaring the source covariance matrices is the same as multiplying them by it. The statistics of the CSI error also need to be the same for all users if the power constraints of the users are interdependent. The R-GIA, on the other hand, has no such restrictions. But whenever the R-TCOA is applicable, both approaches converge, and all the transmit covariance matrices are full rank, the two solutions are actually equivalent (i.e. the R-GIA is also optimum)! Numerical results show that these two robust approaches, for the most part, outperform their non-robust counterparts in various different channel correlation scenarios.

AB - Two numerical approaches, the Robust-Generalized Iterative Approach (R-GIA) and the Robust-Transmit Covariance Optimization Approach (R-TCOA), are proposed for jointly designing the minimum mean square error (MMSE) precoders and decoders of uplink multiuser multiple-input-multiple-output (MIMO) systems with arbitrary linear equality power constraints and possibly imperfect channel state information (CSI). The R-TCOA always gives optimum solutions but is only applicable when the rank constraints on the precoders are relaxed, the spatial correlation matrix for the transmit antennas of each user is an identity matrix, and there exists a scalar such that squaring the source covariance matrices is the same as multiplying them by it. The statistics of the CSI error also need to be the same for all users if the power constraints of the users are interdependent. The R-GIA, on the other hand, has no such restrictions. But whenever the R-TCOA is applicable, both approaches converge, and all the transmit covariance matrices are full rank, the two solutions are actually equivalent (i.e. the R-GIA is also optimum)! Numerical results show that these two robust approaches, for the most part, outperform their non-robust counterparts in various different channel correlation scenarios.

KW - Imperfect CSI

KW - Joint MMSE precoder and decoder

KW - Per-antenna power constraint

KW - Robust

KW - Uplink multiuser MIMO

UR - http://www.scopus.com/inward/record.url?scp=79952531209&partnerID=8YFLogxK

UR - http://www.scopus.com/inward/citedby.url?scp=79952531209&partnerID=8YFLogxK

U2 - 10.1109/ICSPCS.2010.5709744

DO - 10.1109/ICSPCS.2010.5709744

M3 - Conference contribution

SN - 9781424479078

BT - 4th International Conference on Signal Processing and Communication Systems, ICSPCS'2010 - Proceedings

ER -