  In this work, we adopt channel inversion power control (CIPC) to achieve
covert communications aided by a full-duplex receiver. Specifically, the
transmitter varies the power and phase of transmitted signals as per the
channel to the receiver, such that the receiver can decode these signals
without knowing the channel state information. This eliminates the required
feedback from the transmitter to the receiver, which aids hiding the
transmitter from a warden. The truncated CIPC and conventional CIPC schemes are
proposed and examined, where for truncated CIPC covert transmission ceases when
the channel quality from the transmitter to the receiver is low, while for
conventional CIPC covert transmission always occurs regardless of this channel
quality. We examine their performance in terms of the achieved effective covert
throughput (ECT), which quantifies the amount of information that the
transmitter can reliably convey to the receiver, subject to the constraint that
the warden's detection error probability is no less than some specific value.
Our examination shows that the truncated CIPC scheme can outperform the
conventional CIPC scheme due to this constraint.
