### Abstract

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

Pages (from-to) | 168-174 |

Number of pages | 7 |

Journal | IEEE Transactions on Antennas and Propagation |

Volume | 54 |

Issue number | 1 |

DOIs | |

Publication status | Published - 2006 |

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### Cite this

*IEEE Transactions on Antennas and Propagation*,

*54*(1), 168-174. https://doi.org/10.1109/tap.2005.861571

**Diversity improvement estimation from rain radar databases using maximum likelihood estimation.** / Paulson, K S; Watson, R J; Usman, I S.

Research output: Contribution to journal › Article

*IEEE Transactions on Antennas and Propagation*, vol. 54, no. 1, pp. 168-174. https://doi.org/10.1109/tap.2005.861571

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TY - JOUR

T1 - Diversity improvement estimation from rain radar databases using maximum likelihood estimation

AU - Paulson, K S

AU - Watson, R J

AU - Usman, I S

N1 - ID number: ISI:000235016700021

PY - 2006

Y1 - 2006

N2 - This research examines route diversity as a fade mitigation technique in the presence of rain, for terrestrial microwave links. The improvement in availability due to diversity depends upon the complex spatio-temporal properties of rainfall. To produce a general model to predict the advantage due to route diversity it is necessary to be able to predict the correlation of rain attenuation on arbitrary pairs of microwave links. This is achieved by examination of a database of radar derived rain rate fields. Given a representative sample of rain field images, the joint rain attenuation statistics of arbitrary configurations of terrestrial links can be estimated. Existing rain field databases often yield very small numbers of high joint attenuation events. Consequently, estimates of the probability of joint high attenuation events derived from ratios of the number of occurrences can be highly inaccurate. This paper assumes that pairs of terrestrial microwave links have joint rain attenuation distributions that are bi-lognormally distributed. Four of the five distribution parameters can be estimated from ITU-R models. A maximum likelihood estimation (MLE) method is used to estimate the fifth parameter, i.e., the covariance or correlation. The predicted diversity statistics vary smoothly and yield plausible extrapolations into low probability situations.

AB - This research examines route diversity as a fade mitigation technique in the presence of rain, for terrestrial microwave links. The improvement in availability due to diversity depends upon the complex spatio-temporal properties of rainfall. To produce a general model to predict the advantage due to route diversity it is necessary to be able to predict the correlation of rain attenuation on arbitrary pairs of microwave links. This is achieved by examination of a database of radar derived rain rate fields. Given a representative sample of rain field images, the joint rain attenuation statistics of arbitrary configurations of terrestrial links can be estimated. Existing rain field databases often yield very small numbers of high joint attenuation events. Consequently, estimates of the probability of joint high attenuation events derived from ratios of the number of occurrences can be highly inaccurate. This paper assumes that pairs of terrestrial microwave links have joint rain attenuation distributions that are bi-lognormally distributed. Four of the five distribution parameters can be estimated from ITU-R models. A maximum likelihood estimation (MLE) method is used to estimate the fifth parameter, i.e., the covariance or correlation. The predicted diversity statistics vary smoothly and yield plausible extrapolations into low probability situations.

U2 - 10.1109/tap.2005.861571

DO - 10.1109/tap.2005.861571

M3 - Article

VL - 54

SP - 168

EP - 174

JO - IEEE Transactions on Antennas and Propagation

JF - IEEE Transactions on Antennas and Propagation

SN - 0018-926X

IS - 1

ER -