### Abstract

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.

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 |
---|---|

Abbreviated title | GLOBECOM 2007 |

Country | United States |

City | Washington |

Period | 26/11/07 → 30/11/07 |

### Keywords

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

## Fingerprint Dive into the research topics of 'Normalization of linear vector channels'. Together they form a unique fingerprint.

## Cite this

Kotelba, A., Mämmelä, A., & Taylor, D. P. (2007). Normalization of linear vector channels. In

*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