The feasibility of mobile physical-layer network coding with BPSK modulation

This paper considers applying physical-layer network coding (PNC) to orthogonal frequency division multiplexing (OFDM) modulated mobile ad-hoc networks (MANETs) to resolve the outstanding issue of short contact time between nodes due to their mobility. Ideally, PNC enables data exchange twice as fast as the traditional scheduling, and thus, it is a potential performance booster in MANETs. However, the application of PNC in MANETsis challenged by the carrier frequency offset (CFO) problem inherently caused by node-motion-induced Doppler shifts and asynchronous oscillators. CFO induces intercarrier interference (ICI) that degrades PNC performance. In this paper, we investigate the CFO/ICI impact on the signal-to-interference-and-noise ratio (SINR) and bit error rate (BER) in the signal detection of PNC in a two-way relay channel (TWRC)based on binary phase-shift keying (BPSK) modulation.We find that PNC with power control suffers, at most, a 3 dB SINR penalty compared with generic point-to-point communications in both the flat-fading and the frequency-selective channels. We also find that a belief propagation (BP) algorithm could be employed in the signal detection of PNC to effectively tackle ICI and reduce its impact on theBERof PNC. ForCFOcompensation in PNC, we propose a method that amounts to positioning the relay's local oscillator frequency at the middle of the received frequencies fromthe two end nodes in the TWRC. Importantly, we show that 1) this compensation method can theoretically maximize the worst SINR in PNC and that 2) in the case of similar CFO of the two uplinks in TWRC, it allows PNC to achieve a BER at the relay close to that in the ideal case, i.e., in point-to-point communications without CFO. Overall, this paper demonstrates that mobile PNC is feasible in general, laying the foundation for future studies.