General Exact Level Crossing Rate and Average Fade Duration for Dual-Diversity Combining of Nonidentical Correlated Weibull Signals

• Published in: IEEE transactions on vehicular technology Vol. 56; no. 6; pp. 3571 - 3577
• Main Authors: da Costa, D.B., Yacoub, M.D., Santos Filho, J.C.S., Fraidenraich, G.
• Format: Journal Article
• Language: English
• Published: New York, NY IEEE 01-11-2007; Institute of Electrical and Electronics Engineers; The Institute of Electrical and Electronics Engineers, Inc. (IEEE)
• Subjects: Analytical models; Antennas; Applied sciences; Average fade duration (AFD); Channels; Correlation; Directive antennas; Diversity reception; diversity-combining techniques; Equipments and installations; Exact sciences and technology; Laboratories; level crossing rate (LCR); Level crossings; Mathematical analysis; Mathematical models; Mobile antennas; Mobile radiocommunication systems; Radiocommunications; Rayleigh channels; Simulation; Stations; Statistics; Student members; Systems, networks and services of telecommunications; Telecommunications; Telecommunications and information theory; Transmission and modulation (techniques and equipments); Weibull fading channels; Wireless communication; diversity-combining techniques; level crossing rate; Average fade duration; Weibull fading channels; Fading channels; Mobile radiocommunication; Wireless telecommunication; Space diversity; level crossing rate (LCR); Average fade duration (AFD); Combiner circuit; Diversity combining; Level crossing rate; Numerical simulation; System simulation; Weibull distribution; Gain; Antenna
• DOI: 10.1109/TVT.2007.901038
• EISSN: 1939-9359
• ISSN: 0018-9545

This paper derives general exact expressions for the level crossing rate (LCR) and the average fade duration (AFD) of dual-branch selection, equal-gain, and maximal-ratio combiners operating over non-identical correlated Weibull fading channels. Sample numerical results are discussed by specializing the general expressions to a space-diversity system using horizontally spaced antennas at a mobile station. It is verified that as the antenna spacing becomes larger, the LCR decreases, becoming oscillatory and convergent. In addition, when the direction of the mobile is perpendicular to the axis of the antenna, the AFD is loosely dependent on the antenna spacing. Some simulation results are presented to verify the correctness of the analytical formulation.