Abstract
Improper Gaussian signaling (IGS) has been used as an effective interference management tool in interference limited systems. Improper Gaussian signals are correlated with their complex conjugates. In this paper, we investigate the optimality of IGS from an energy efficiency (EE) perspective. First, we obtain closed form optimality conditions for IGS. We then leverage these conditions to devise a bisection method that finds the optimal transmission parameters. Our results show that IGS can improve the EE of an underlay cognitive radio system.
Highlights
Energy consumption is always a critical parameter of modern wireless communication systems, where the power has to be used efficiently [1]
The authors in [11] showed that Improper Gaussian signaling (IGS) can increase the rate of the secondary users (SUs) in underlay cognitive radio (UCR), and similar results were shown in [12] for the outage probability
In order to shed light onto this trade-off, we derive in this paper a necessary and sufficient condition in closed form for IGS to be more energy efficient than PGS
Summary
Energy consumption is always a critical parameter of modern wireless communication systems, where the power has to be used efficiently [1]. In [8,9,10], it was shown that IGS can improve the performance of different Z-ICs. The authors in [11] showed that IGS can increase the rate of the SU in UCR, and similar results were shown in [12] for the outage probability. In order to shed light onto this trade-off, we derive in this paper a necessary and sufficient condition in closed form for IGS to be more energy efficient than PGS. We leverage this result to numerically obtain the optimal transmission parameters by the well-known bisection method.
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