Second-order statistics for diversity-combining techniques in Nakagami-fading channels

• Published in: IEEE transactions on vehicular technology Vol. 50; no. 6; pp. 1464 - 1470
• Main Authors: Yacoub, M.D., da Silva, C.R.C.M., Vargas Bautista, J.E.
• Format: Journal Article
• Language: English
• Published: New York, NY IEEE 01.11.2001; Institute of Electrical and Electronics Engineers; The Institute of Electrical and Electronics Engineers, Inc. (IEEE)
• Subjects: Analytical models; Applied sciences; Channels; Computer simulation; Detection, estimation, filtering, equalization, prediction; Diversity reception; Equipments and installations; Exact sciences and technology; Exact solutions; Fading; Gain; Helium; Information, signal and communications theory; Mathematical analysis; Mathematical models; Mobile radiocommunication systems; Radio transmitters; Radiocommunications; Rayleigh channels; Receivers; Reflection; Rice; Shadow mapping; Signal and communications theory; Signal, noise; Statistics; Systems, networks and services of telecommunications; Telecommunications; Telecommunications and information theory; Transmission and modulation (techniques and equipments); Fading channels; Statistical method; Mobile radiocommunication; Nakagami fading; Simulation; Wireless telecommunication; Diversity; Analytical method
• ISSN: 0018-9545; 1939-9359
• DOI: 10.1109/25.966577

Exact and closed-form expressions for the level crossing rate and average fade duration are presented for the M branch pure selection combining (PSC), equal gain combining (EGC), and maximal ratio combining (MRC), techniques, assuming independent branches in a Nakagami (1960) environment. The analytical results are thoroughly validated by reducing the general case to some special cases, for which the solutions are known, and by means of simulation for the more general case. The model developed here is general and can be easily applied to other fading statistics (e.g., Rice).