Abstract
We propose modified space-time-coding-based analog network coding (ANC) for multiple-relay network, termed space-time analog network coding (STANC). We present the performance and capacity analysis of the proposed network in terms of SER and ergodic capacity. We derive the closed-form expressions for the moment-generating function (MGF) of the equivalent signal-to-noise ratio (SNR) of the multiple-relay STANC network over independent and identically distributed (i.i.d.) Rayleigh, Nakagami, and Rician channels. Average SER of the system is evaluated using MGF-based approach. We further derive the approximate closed-form expressions of ergodic capacity. These expressions are simple and enable effective evaluation of the performance and capacity of STANC system.
Highlights
Relay nodes are considered as the main candidates for longterm-evolution-(LTE-) advanced standardization to provide incremental capacity growth and in-building coverage [1]
We propose that the space-time analog network coding (STANC) channel ergodic capacity can be accurately approximated by a Gaussian random variable, for the case where the channel state information (CSI) is not available at the transmitter but the receiver has the perfect channel state information
The exact symbol error rate (SER) and ergodic capacity performance are analytically derived in Section 3 and 4, respectively, and are drawn by using Mathematica software and shown together with the results obtained from Monte Carlo simulations
Summary
Relay nodes are considered as the main candidates for longterm-evolution-(LTE-) advanced standardization to provide incremental capacity growth and in-building coverage [1]. In analog network coding (ANC), the relay amplifies and broadcasts the received signal without any processing. This paper presents the novel extension of analog network coding based on space-time coding technique (STANC) in a multihop scenario in view of further enhancing the network capacity and coverage area. We derive the theoretical closed-form expressions of moment-generating function (MGF) for STANC system over Nakagami-m and Rician fading channels. The approximate closed-form expressions of ergodic capacity over both Nakagami-m and Rician fading channels are derived. Γi, Mγi (s), and nxk represent the transmitted symbol energy of terminal X over X → Y link, equivalent signal-to-noise ratio (SNR) at ith terminal, total unconditional moment-generating function of γi, and AWGN at terminal X in the qth time slot, respectively. Ti and Rj denote the ith terminal and jth relay, respectively
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