In this work, a novel energy-recycling single-antenna full-duplex (FD) radio
is designed, in which a new 3-port element including a power divider and an
energy harvester is added between the circulator and the receiver (RX) chain.
The presence of this new element brings advantages over the state of the art in
terms of both spectral efficiency and energy consumption. In particular, it
provides the means of performing both an arbitrary attenuation of the incoming
signal, which in turn increases the effectiveness of the state-of-the-art
self-interference cancellation strategies subsequently adopted in the RX chain,
and the recycling of a non-negligible portion of the energy leaked through the
non-ideal circulator. The performance of this architecture is analyzed in a
practically relevant 4-node scenario in which 2 nodes operate in FD and 2 nodes
in half-duplex (HD). Analytical approximations are derived for both the
achievable rates of the transmissions performed by the FD and HD radios and the
energy recycled by the FD radios. The accuracy of these derivations is
confirmed by numerical simulations. Quantitatively, achievable rate gains up to
40% over the state-of-the-art alternatives, in the considered scenario, are
highlighted. Furthermore, up to 50% of the leaked energy at the circulator,
i.e., 5% of the energy of the transmitted signal, can be recycled