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In this paper, the authors assess the random coding Error Exponents (EEs) corresponding to Decode-and-Forward (DF), Compress-and-Forward (CF) and Quantize-and-Forward (QF) relaying strategies for a Parallel Relay Network (PRN), consisting of a single source and two relays. Moreover, through numerical analysis they show that the EEs achieved by using QF relaying along with non-Gaussian signaling (coded modulation, M-QAM) at the source and symbol-by-symbol uniform Scalar Quantizers (uSQs) at the relays is better than that achieved by DF and CF relaying strategies when the system is in the low Signal-to-Noise Ratio (SNR) regime and the backhaul capacity is sufficient.
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