A Unified MGF-Based Capacity Analysis of Diversity Combiners over Generalized Fading Channels

Abstract

Unified exact average capacity results for L-branch coherent diversity receivers including equal-gain combining (EGC) and maximal-ratio combining (MRC) are not known. This paper develops a novel generic framework for the capacity analysis of L-branch EGC/MRC over generalized fading channels. The framework is used to derive new results for the Gamma shadowed generalized Nakagami-m fading model which can be a suitable model for the fading environments encountered by high frequency (60 GHz and above) communications. The mathematical formalism is illustrated with some selected numerical and simulation results confirming the correctness of our newly proposed framework.

On the Fast and Precise Evaluation of the Outage Probability of Diversity Receivers Over $\alpha -\mu $ , $\kappa -\mu $ , and $\eta -\mu $ Fading Channels

“…The instantaneous signal-to-noise ratio (SNR) expression at the diversity receiver, is given by [20] …”

Outage Analysis of Dual-Hop Transmission with Buffer Aided Amplify-and-Forward Relay

“…We assume baseband QPSK modulation and that the signal is transmitted on the basis of time slots (TSs) having a duration of T seconds. In addition to propagation pathloss, the channels of the 2 hops are assumed to experience independent block-based flat Extended Generalized-K (EGK) fading [14], which we will explain later. In the fading process, the complex-valued fading envelope of a hop remains constant within a TS, but is independently faded for different TSs.…”

“…where h 1 , h 2 represent the fading channel gain of the corresponding channels, and follow the Extended Generalized-K (EGK) distribution [14]. n n n 1 , n n n 2 are the Gaussian noise added at RN and DN, respectively.…”

“…These two points X, X can be found based on (14) and (15). After determining X, X , the point Z is found out to satisfy S ACZX = S CZX E , where S denotes the area, As shown in Fig.…”

“…This division as well as channel matching are discussed as follows, please also refer to Fig. 2. 1) Channel matching of Class B and Class C: If one channel is in the region XZ, for example point Y , if set Y according to (14), then the probability from X to Y is higher than that from Y to X . This means the channel falls in class B more frequently than in class C, thus a one-one matching is not feasible.…”