In this article, we propose the idea of phase-superposition-phase-forward (PSPF) relaying for 2-way 3-phase\r\ncooperative network involving constant envelope modulation with discriminator detection in a time-selective\r\nRayleigh fading environment. A semi-analytical expression for the bit-error-rate (BER) of this system is derived and\r\nthe results are verified by simulation. It was found that, compared to one-way relaying, 2-way relaying with PSPF\r\nsuffers only a moderate loss in energy efficiency (of 1.5 dB). On the other hand, PSPF improves the transmission\r\nefficiency by 33%. Furthermore, we believe that the loss in transmission efficiency can be reduced if power is\r\nallocated to the different nodes in this cooperative network in an ââ?¬Ë?optimalââ?¬â?¢ fashion. To further put the performance\r\nof the proposed PSPF scheme into perspective, we compare it against a phase-combining phase-forward\r\ntechnique that is based on decode-and-forward (DF) and multi-level CPFSK re-modulation at the relay. It was\r\nfound that DF has a higher BER than PSPF and requires additional processing at the relay. It can thus be\r\nconcluded that the proposed PSPF technique is indeed the preferred way to maintain constant envelope signaling\r\nthroughout the signaling chain in a 2-way 3 phase relaying system.
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