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Ergodic capacity is an important performance measure associated with reliablecommunication at the highest rate at which information can be sent over thechannel with a negligible probability of error. In the shadow of thisdefinition, diversity receivers (such as selection combining, equal-gaincombining and maximal-ratio combining) and transmission techniques (such ascascaded fading channels, amplify-and-forward multihop transmission) aredeployed in mitigating various performance impairing effects such as fading andshadowing in digital radio communication links. However, the exact analysis ofergodic capacity is in general not always possible for all of these forms ofdiversity receivers and transmission techniques over generalized compositefading environments due to it's mathematical intractability. In the literature,published papers concerning the exact analysis of ergodic capacity have beentherefore scarce (i.e., only [1] and [2]) when compared to those concerning theexact analysis of average symbol error probability. In addition, they areessentially targeting to the ergodic capacity of the maximal ratio combiningdiversity receivers and are not readily applicable to the capacity analysis ofthe other diversity combiners / transmission techniques. In this paper, wepropose a novel moment generating function-based approach for the exact ergodiccapacity analysis of both diversity receivers and transmission techniques overgeneralized composite fading environments. As such, we demonstrate how tosimultaneously treat the ergodic capacity analysis of all forms of bothdiversity receivers and multihop transmission techniques.

A Novel Ergodic Capacity Analysis of Diversity Combining and Multihop Transmission Systems over Generalized Composite Fading Channels