### Abstract

A "classical" probablility density function (PDF)-based approach relying on the cumulative distribution function (CDF) of the combined output signal-to-noise ratio (SNR) as well as the joint PDF of the combined output SNR and its time derivative, is used to obtain exact closed form expressions for average outage duration (AOD) of maximal-ratio combiners (MRC) over independent and identically distributed (i.i.d.) Rayleigh and Rice fading channels. On the other hand, relying on numerical techniques for inverting Laplace transforms of CDFs and for the computation of the joint characteristic function (CF) of the combined output SNR random process and its time derivative, a CF-based approach is adopted to calculate the AOD of MRC over non i.i.d. Rician diversity paths. The mathematical formalism is ilustrated by presenting some numerical results/plots showing the impact of the power delay profile and the distribution of the angle of arrivals on the AOD of diversity systems operating over typical fading channels of practical interest.

Original language | English |
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Title of host publication | 2000 IEEE Wireless Communications and Networking Conference |

Pages | 216-221 |

Number of pages | 6 |

Publication status | Published - 2000 Dec 1 |

Externally published | Yes |

Event | 2000 IEEE Wireless Communications and Networking Conference - Chicago, IL, United States Duration: 2000 Sep 23 → 2000 Sep 28 |

### Other

Other | 2000 IEEE Wireless Communications and Networking Conference |
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Country | United States |

City | Chicago, IL |

Period | 00/9/23 → 00/9/28 |

### Fingerprint

### ASJC Scopus subject areas

- Engineering(all)

### Cite this

*2000 IEEE Wireless Communications and Networking Conference*(pp. 216-221)

**Average outage duration of diversity systems over generalized fading channels.** / Ko, Young-Chai; Abdi, Ali; Alouini, Mohamed Slim; Kaveh, Mostafa.

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

*2000 IEEE Wireless Communications and Networking Conference.*pp. 216-221, 2000 IEEE Wireless Communications and Networking Conference, Chicago, IL, United States, 00/9/23.

}

TY - GEN

T1 - Average outage duration of diversity systems over generalized fading channels

AU - Ko, Young-Chai

AU - Abdi, Ali

AU - Alouini, Mohamed Slim

AU - Kaveh, Mostafa

PY - 2000/12/1

Y1 - 2000/12/1

N2 - A "classical" probablility density function (PDF)-based approach relying on the cumulative distribution function (CDF) of the combined output signal-to-noise ratio (SNR) as well as the joint PDF of the combined output SNR and its time derivative, is used to obtain exact closed form expressions for average outage duration (AOD) of maximal-ratio combiners (MRC) over independent and identically distributed (i.i.d.) Rayleigh and Rice fading channels. On the other hand, relying on numerical techniques for inverting Laplace transforms of CDFs and for the computation of the joint characteristic function (CF) of the combined output SNR random process and its time derivative, a CF-based approach is adopted to calculate the AOD of MRC over non i.i.d. Rician diversity paths. The mathematical formalism is ilustrated by presenting some numerical results/plots showing the impact of the power delay profile and the distribution of the angle of arrivals on the AOD of diversity systems operating over typical fading channels of practical interest.

AB - A "classical" probablility density function (PDF)-based approach relying on the cumulative distribution function (CDF) of the combined output signal-to-noise ratio (SNR) as well as the joint PDF of the combined output SNR and its time derivative, is used to obtain exact closed form expressions for average outage duration (AOD) of maximal-ratio combiners (MRC) over independent and identically distributed (i.i.d.) Rayleigh and Rice fading channels. On the other hand, relying on numerical techniques for inverting Laplace transforms of CDFs and for the computation of the joint characteristic function (CF) of the combined output SNR random process and its time derivative, a CF-based approach is adopted to calculate the AOD of MRC over non i.i.d. Rician diversity paths. The mathematical formalism is ilustrated by presenting some numerical results/plots showing the impact of the power delay profile and the distribution of the angle of arrivals on the AOD of diversity systems operating over typical fading channels of practical interest.

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M3 - Conference contribution

AN - SCOPUS:0034588043

SN - 0780365968

SP - 216

EP - 221

BT - 2000 IEEE Wireless Communications and Networking Conference

ER -