Tight bounds on the ergodic capacity of cooperative analog relaying with adaptive source transmission techniques

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“…Similar to [10], [12]- [13], we consider the problem of source adaptive transmission for 2-hop CAF multi-relay networks with limited CSI feedback in which rate at the source node is adapted according to prevailing channel condition (i.e., only the knowledge of the end-to-end SNR T  at the destination node, and not all links is needed at the source node) while the relays simply amplify and forward the signals that they receive. However, the existing results were based on the upper and lower bounds for the MGF of T  .…”

“…have also been developed to minimize the complexity of the problem in Nakagami-m [11], [12] and Rice channels with i.n.d diversity paths [13]. These expressions are summarized in (10) and (11), respectively.…”

“…By exploiting a "desirable" exponential integral representation for ln (.) function [12], it is straight-forward to show that the normalized ergodic capacity (with respect to bandwidth B) of CAF relay networks is given by Following the development similar to (22), it is also possible to evaluate (24) in closed-form for Rayleigh and Nakagami-m channels (positive integer m). For instance, it is not difficult to show that normalized ergodic capacity with a single cooperative relay over an i.n.d Nakagami-m channel is given by v B (18)) is recommended for its simplicity and applicability to a wide range of fading environments.…”

“…Although the development in [16] is interesting and their MGF approach can be applied to a wide range of fading environments, the resulting integral expressions are often too complicated to compute or very time-consuming (due to the need to evaluate a nested two-fold integral term with complicated arguments that includes infinite series in some cases). To circumvent this difficulty, some authors have developed bounds for the half-harmonic mean (HM) MGF of end-to-end SNR of CAF multi-relay networks in Rayleigh [6][10], Nakagami-m [11] [12] and Rice [13] fading environments. In [9], Ribeiro et.…”

Efficient Symbol Error Rate Analysis of Cooperative Non-Regenerative Relay Systems over Generalized Fading Channels

“…extended the analysis in [6] to a wide range of digital modulation schemes that employ a generalized selection combining diversity receiver (but for non-cooperative network). In [2] and [8]- [11], other researchers have developed bounds for the MGF of end-to-end SNR of CAF in Rayleigh [2][8], Nakagami-m [9]- [10] and Rice [11] fading environments (i.e., Case III).…”