An MGF-based performance analysis of generalized selection combining over Rayleigh fading channels

MS Alouini, MK Simon - IEEE Transactions on Communications, 2000 - ieeexplore.ieee.org
IEEE Transactions on Communications, 2000ieeexplore.ieee.org
Using the notion of the" spacing" between ordered exponential random variables, a
performance analysis of the generalized selection combining (GSC) diversity scheme over
Rayleigh fading channels is presented and compared with that of the conventional maximal-
ratio combining and selection combining schemes. Starting with the moment generating
function (MGF) of the GSC output signal-to-noise ratio (SNR), we derive closed-form
expressions for the average combined SNR, outage probability, and average error …
Using the notion of the "spacing" between ordered exponential random variables, a performance analysis of the generalized selection combining (GSC) diversity scheme over Rayleigh fading channels is presented and compared with that of the conventional maximal-ratio combining and selection combining schemes. Starting with the moment generating function (MGF) of the GSC output signal-to-noise ratio (SNR), we derive closed-form expressions for the average combined SNR, outage probability, and average error probability of a wide variety of modulation schemes operating over independently, identically distributed (i.i.d.) diversity paths. Because of their simple form, these expressions readily allow numerical evaluation for cases of practical interest. The results are also extended to the case of non-i.i.d. diversity paths.
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