“…To show the proof of Theorem 1, we incorporate (8) into (16), and after further manipulation along with [3], it gives Pr γ eq < γ th = Pr…”
Section: B Outage Probabilitymentioning
confidence: 99%
“…Subcarrier mapping at the relay has the potential to increase the OFDM capacity [2]. In [3], the authors proposed an exact analytical technique for evaluation the average capacity of a dual OFDM system subcarrier mapping at the relay which is based on results of [2]. The BER performance of the best-to-worst and the best-to-best subcarrier mapping for OFDM AF relaying system is studied in [4].…”
In orthogonal frequency division multiplexing (OFDM) relay system, subcarrier mapping at the relay has been shown to substantially improve the performance evidently. In this paper, we investigate the performance analysis of dual-hop OFDM relay systems with subcarrier mapping over Nakagami-m fading channels. A closed-form expression of outage probabilty is derived for Amplify-and-Forward OFDM Relay System with subcarrier mapping. The efficiency of the analytical performance is demonstrated through simulation results.
“…To show the proof of Theorem 1, we incorporate (8) into (16), and after further manipulation along with [3], it gives Pr γ eq < γ th = Pr…”
Section: B Outage Probabilitymentioning
confidence: 99%
“…Subcarrier mapping at the relay has the potential to increase the OFDM capacity [2]. In [3], the authors proposed an exact analytical technique for evaluation the average capacity of a dual OFDM system subcarrier mapping at the relay which is based on results of [2]. The BER performance of the best-to-worst and the best-to-best subcarrier mapping for OFDM AF relaying system is studied in [4].…”
In orthogonal frequency division multiplexing (OFDM) relay system, subcarrier mapping at the relay has been shown to substantially improve the performance evidently. In this paper, we investigate the performance analysis of dual-hop OFDM relay systems with subcarrier mapping over Nakagami-m fading channels. A closed-form expression of outage probabilty is derived for Amplify-and-Forward OFDM Relay System with subcarrier mapping. The efficiency of the analytical performance is demonstrated through simulation results.
“…Adaptive relaying scheme for OFDM that taking channel state information into account has been proposed in (Herdin, 2006), where subcarrier matching was considered for OFDM amplify-and-forward scheme but the power allocation was not considered. Performances of OFDM dual-hop system with and without subcarrier matching were studied in (Suraweera & Armstrong, 2007) and (Athaudage et al, 2008), separately. The problems of resource allocation were considered in OFDMA cellular and OFDMA multihop system (Pischella & Belfiore, 2008) and (Kim et al, 2008).…”
“…This method has often been adopted in the literature, e.g. [9], [10], [12], [35], and [36], to better exploit diversity in the frequency domain. In the case without SP, the function is defined by…”
Section: System Model and Problem Formulationmentioning
confidence: 99%
“…Thus, the effective SNR, defined by ξ k Δ = P d /P v , can be computed as in (36), shown at the bottom of the next page, where 1/Λ 2 ϕ(k) = |Ĥ SR,k | 2 + SR,k + (1/γ d ), and ζ k is given in (9).…”
Abstract-This paper examines the use of channel feedback to adaptively determine pilot placement among subcarriers in amplify-and-forward (AF) orthogonal frequency-division multiplexing (OFDM) relay systems. With feedback of the previous channel estimate, pilot subcarriers at the source and relay can be reassigned to reduce channel estimation error and ensure that good subcarriers are made available for data transmission. The minimum effective signal-to-noise ratio (SNR) among data subcarriers is utilized as the performance metric for the optimization of the pilot locations. The effective SNR is defined as the receive SNR at the destination, taking into consideration the source-to-relay (SR) and relay-to-destination (RD) channels, as well as their respective channel estimation errors. The feedback gain, which is defined as the ratio between the minimum effective SNR achieved with the optimal feedback-aided pilot placement and that achieved with the equal-spaced pilot placement, is used to measure the gains achieved through feedback. In this paper, we first derive an analytic lower bound on the optimal feedback gain and show its rate of increase with respect to the number of subcarriers. These studies are performed for systems both without and with subcarrier pairing (SP) at the relay. Specifically, in systems without SP, the relay forwards each datum on the same subcarrier on which it is received. In systems with SP, the relay is allowed to reassign the subcarriers used to forward the data received from the source. With the goal of maximizing the minimum effective SNR, the optimal SP scheme is shown to be an inverse mapping between the SR and RD subcarriers with respect to their channel gains. Due to the complexity of finding the optimal placement, a suboptimal but efficient algorithm called the iterative pilot relocation (IterPR) scheme is then proposed. The effectiveness of the proposed IterPR schemes is demonstrated through numerical simulations.Index Terms-Channel estimation, feedback, orthogonal frequency-division multiplexing (OFDM), pilot placement, relaying, subcarrier pairing (SP).
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