### Abstract

This paper presents two approaches for the calculation of the average outage duration (AOD) of diversity systems over generalized fading channels. First, a "classical" probability density function (pdf)-based approach is used to obtain exact closed-form expressions for the AOD of maximal-ratio combiner (MRC) over independent and identically distributed (i.i.d.) Rayleigh and Rice fading channels. On the other hand, relying upon a numerical technique for inverting Laplace transforms of cumulative distribution functions, and in conjunction with the calculation of the joint characteristic function (CF) of the combined output signal-to-noise ratio process and its time derivative, a CF-based approach is adopted to compute the AOD of MRC over non-i.i.d. Rayleigh and Rician diversity paths. The mathematical expressions are illustrated by presenting and interpreting numerical results/plots, showing the impact of the power delay profile, the angles of arrival, and the angle spreads on the AOD of diversity systems operating over typical fading channels of practical interest.

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

Pages (from-to) | 1672-1680 |

Number of pages | 9 |

Journal | IEEE Transactions on Vehicular Technology |

Volume | 51 |

Issue number | 6 |

Publication status | Published - 2002 Nov 1 |

Externally published | Yes |

### Fingerprint

### Keywords

- Average fade duration
- Average outage duration
- Characteristic function
- Diversity combining
- Fading channels
- Level-crossing rate

### ASJC Scopus subject areas

- Computer Networks and Communications
- Electrical and Electronic Engineering

### Cite this

*IEEE Transactions on Vehicular Technology*,

*51*(6), 1672-1680.

**A general framework for the calculation of the average outage duration of diversity systems over generalized fading channels.** / Ko, Young-Chai; Abdi, Ali; Alouini, Mohamed Slim; Kaveh, Mostafa.

Research output: Contribution to journal › Article

*IEEE Transactions on Vehicular Technology*, vol. 51, no. 6, pp. 1672-1680.

}

TY - JOUR

T1 - A general framework for the calculation of the 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 - 2002/11/1

Y1 - 2002/11/1

N2 - This paper presents two approaches for the calculation of the average outage duration (AOD) of diversity systems over generalized fading channels. First, a "classical" probability density function (pdf)-based approach is used to obtain exact closed-form expressions for the AOD of maximal-ratio combiner (MRC) over independent and identically distributed (i.i.d.) Rayleigh and Rice fading channels. On the other hand, relying upon a numerical technique for inverting Laplace transforms of cumulative distribution functions, and in conjunction with the calculation of the joint characteristic function (CF) of the combined output signal-to-noise ratio process and its time derivative, a CF-based approach is adopted to compute the AOD of MRC over non-i.i.d. Rayleigh and Rician diversity paths. The mathematical expressions are illustrated by presenting and interpreting numerical results/plots, showing the impact of the power delay profile, the angles of arrival, and the angle spreads on the AOD of diversity systems operating over typical fading channels of practical interest.

AB - This paper presents two approaches for the calculation of the average outage duration (AOD) of diversity systems over generalized fading channels. First, a "classical" probability density function (pdf)-based approach is used to obtain exact closed-form expressions for the AOD of maximal-ratio combiner (MRC) over independent and identically distributed (i.i.d.) Rayleigh and Rice fading channels. On the other hand, relying upon a numerical technique for inverting Laplace transforms of cumulative distribution functions, and in conjunction with the calculation of the joint characteristic function (CF) of the combined output signal-to-noise ratio process and its time derivative, a CF-based approach is adopted to compute the AOD of MRC over non-i.i.d. Rayleigh and Rician diversity paths. The mathematical expressions are illustrated by presenting and interpreting numerical results/plots, showing the impact of the power delay profile, the angles of arrival, and the angle spreads on the AOD of diversity systems operating over typical fading channels of practical interest.

KW - Average fade duration

KW - Average outage duration

KW - Characteristic function

KW - Diversity combining

KW - Fading channels

KW - Level-crossing rate

UR - http://www.scopus.com/inward/record.url?scp=0036880334&partnerID=8YFLogxK

UR - http://www.scopus.com/inward/citedby.url?scp=0036880334&partnerID=8YFLogxK

M3 - Article

AN - SCOPUS:0036880334

VL - 51

SP - 1672

EP - 1680

JO - IEEE Transactions on Vehicular Technology

JF - IEEE Transactions on Vehicular Technology

SN - 0018-9545

IS - 6

ER -