### Abstract

Original language | English |
---|---|

Title of host publication | IEEE Global Telecommunications Conference |

Subtitle of host publication | IEEE GLOBECOM 2007 |

Publisher | IEEE Institute of Electrical and Electronic Engineers |

Pages | 4537–4542 |

ISBN (Electronic) | 978-1-4244-1043-9 |

ISBN (Print) | 978-1-4244-1042-2 |

DOIs | |

Publication status | Published - 2007 |

MoE publication type | A4 Article in a conference publication |

Event | IEEE Global Telecommunications Conference, GLOBECOM 2007 - Washington, United States Duration: 26 Nov 2007 → 30 Nov 2007 |

### Conference

Conference | IEEE Global Telecommunications Conference, GLOBECOM 2007 |
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Abbreviated title | GLOBECOM 2007 |

Country | United States |

City | Washington |

Period | 26/11/07 → 30/11/07 |

### Fingerprint

### Keywords

- energy conservation law
- multi-antenna systems
- transmitter power control
- transmitters
- vectors
- mathematical model
- frequency
- covariance matrix

### Cite this

*IEEE Global Telecommunications Conference: IEEE GLOBECOM 2007*(pp. 4537–4542). IEEE Institute of Electrical and Electronic Engineers . https://doi.org/10.1109/GLOCOM.2007.862

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*IEEE Global Telecommunications Conference: IEEE GLOBECOM 2007.*IEEE Institute of Electrical and Electronic Engineers , pp. 4537–4542, IEEE Global Telecommunications Conference, GLOBECOM 2007, Washington, United States, 26/11/07. https://doi.org/10.1109/GLOCOM.2007.862

**Normalization of linear vector channels.** / Kotelba, Adrian; Mämmelä, Aarne; Taylor, Desmond P.

Research output: Chapter in Book/Report/Conference proceeding › Conference article in proceedings › Scientific › peer-review

TY - GEN

T1 - Normalization of linear vector channels

AU - Kotelba, Adrian

AU - Mämmelä, Aarne

AU - Taylor, Desmond P.

PY - 2007

Y1 - 2007

N2 - In this paper we study the normalization of mathematical models of linear vector channels. The ratio of the received energy to the transmitted energy is the energy gain of the channel. All physical systems follow an energy conservation law which implies that the energy gain of the channel is less than or equal to one. The major approaches for normalization include setting of either the average energy gain or the peak energy gain to unity. The peak energy gain of many mathematical fading models is infinite and those models cannot be normalized by the peak energy gain. We propose a new approach to normalization where the mathematical channel model is guaranteed to represent a physical system with a predefined probability. We show that the proper normalization of the mathematical model and the selection of the correct performance measure are of paramount importance in comparative performance analysis of adaptive transmission systems.

AB - In this paper we study the normalization of mathematical models of linear vector channels. The ratio of the received energy to the transmitted energy is the energy gain of the channel. All physical systems follow an energy conservation law which implies that the energy gain of the channel is less than or equal to one. The major approaches for normalization include setting of either the average energy gain or the peak energy gain to unity. The peak energy gain of many mathematical fading models is infinite and those models cannot be normalized by the peak energy gain. We propose a new approach to normalization where the mathematical channel model is guaranteed to represent a physical system with a predefined probability. We show that the proper normalization of the mathematical model and the selection of the correct performance measure are of paramount importance in comparative performance analysis of adaptive transmission systems.

KW - energy conservation law

KW - multi-antenna systems

KW - transmitter power control

KW - transmitters

KW - vectors

KW - mathematical model

KW - frequency

KW - covariance matrix

U2 - 10.1109/GLOCOM.2007.862

DO - 10.1109/GLOCOM.2007.862

M3 - Conference article in proceedings

SN - 978-1-4244-1042-2

SP - 4537

EP - 4542

BT - IEEE Global Telecommunications Conference

PB - IEEE Institute of Electrical and Electronic Engineers

ER -