Level crossing rate and average fade duration for pure selection and threshold selection diversity‐combining systems

Abstract

SUMMARYExact and closed-form expressions for the level crossing rate and average fade duration are presented for the M-branch Pure Selection Combining and for the two-branch Threshold Selection Combining schemes, assuming independent branches in a Rayleigh 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 plots presented here are also compared with those of the general solution recently published for the Equal Gain and Maximal Ratio Combining and an agreeable coherence is found.

Fading and Shadowing in Wireless Systems

“…In (4.221), f d is the maximum Doppler frequency shift and O is given by Yacoub et al 1998Yacoub et al , 1999Yacoub et al , 2001Dong and Beaulieu 2001)…”

Minimum duration outage of wireless Rayleigh-fading links using selection combining

“…III to the basic definitions of MDO. In [16], the level crossing rate of multiple selection combined Rayleigh-fading links is given as…”

“…4(a), we compare approximation and simulation results for different number of links, i.e., L = {1, 2, 4, 8}. The approximation in equation (16) provides accurate results and is appropriate for analyzing the performance of selection combined Rayleigh-fading links.…”

The largest SNR distribution

“…. , X α ), see Yacoub et al (2001aYacoub et al ( , 2001b. The most common model for the normalized SNR is the gamma distribution.…”