Statistical Channel Knowledge-Based Distributed Power Allocation for Analog Network Coding in High SNR
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Statistical Channel Knowledge‑Based Distributed Power Allocation for Analog Network Coding in High SNR Ao Zhan1 · Huirui Chen1 · Wenbing Chen1 · Zhixuan Chen1 · Chengyu Wu1 Received: 14 August 2019 / Revised: 16 February 2020 / Accepted: 28 May 2020 © Springer Science+Business Media, LLC, part of Springer Nature 2020
Abstract A novel distributed power allocation scheme for analog network coding (ANC) in high signal-to-noise ratio (SNR) is proposed by using statistical channel knowledge at the transmitters only. The scheme considers nonorthogonal amplified-and- forward (NAF) protocol. In the derivation, a general Rayleigh fading multiple hop network is accurately approximated by a simpler two hop network, and the closed-formed expression for the outage probability of the simplified two hop network is obtained and optimized with respect to the power allocation. Numerical results show that the derived power allocation scheme has significant performance gain over the equal power scheme. In some cases, it approaches the optimal scheme. Keywords ANC · Statistic channel knowledge · Distributed power allocation · Outage probability
1 Introduction Recently, physical network coding (PNC), or analog network coding (ANC), have been widely studied to achieve better network performance [1–5]. It allows senders to interfere, then lets the router forward these interfering signals instead of the data packets. At the destinations, each node extracts its desired signals by subtracting the overheard signals from the interfering signals.
1.1 Related Works The works on PNC can be classified into two categories: One is the denoise-and-forward network coding (DFNC) scheme. In this scheme, multiple sources transmit simultaneously to * Chengyu Wu [email protected] Ao Zhan [email protected] Huirui Chen [email protected] Wenbing Chen [email protected] Zhixuan Chen [email protected] 1
School of information, Zhejiang Sci-Tech University, Hangzhou, Zhejiang, China
a relay, and the relay maps the received signals into symbols from a discrete constellation. The routers forward these mapped signals to their corresponding destinations. Zina etal. [6] analyzes error probability of the joint physical network coding (PNC) mapping with interleaving and multiuser detection techniques. Khan et al. [7] considers DFNC scheme based on multiple relay system to analyze various performance metrics, including error probability, outage probability and channel capacity. The random coding error exponent for the uplink phase of a two-way relay system is investigated, based on XOR coding scheme in [8]. Abu [9] proposes joint PNC and forward error correction scheme to improve BER performance. However these schemes require complex decoding and precise (amplified and phase) channel estimate at relays, It may not be feasible to be employed in some systems with limited resources. The other is nonorthogonal amplified-and-forward network coding (NAFNC) scheme. This scheme simply amplifies and forwards the received signals from sources over a multiple acces
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