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Improper Signaling versus Time-Sharing in the Two-User Gaussian Interference Channel with TIN
TLDR
A surprising result is proved: proper signals are optimal if coded time-sharing is allowed, and an algorithm is presented to compute the corresponding achievable rate region.Abstract:
So-called improper complex signals have been shown to be beneficial in the single-antenna two-user Gaussian interference channel under the assumptions that all input signals are Gaussian and that we treat interference as noise (TIN). This result has been obtained under a restriction to pure strategies without time-sharing, and it was extended to the case where the rates, but not the transmit powers, may be averaged over several transmit strategies. In this paper, we drop such restrictions and discuss the most general case of coded time-sharing, where both the rates and the powers may be averaged. Since coded time-sharing can in general not be expressed by means of a convex hull of the rate region, we have to account for the possibility of time-sharing already during the optimization of the transmit strategy. By means of a novel channel enhancement argument, we prove a surprising result: proper signals are optimal if coded time-sharing is allowed. In addition to establishing this result, we present an algorithm to compute the corresponding achievable rate region.read more
Citations
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Journal ArticleDOI
Improper Gaussian Signaling for Broadcast Interference Networks
TL;DR: A path-following algorithm, which iterates a sequence of improved feasible points, is proposed for its computation and shows that IGS offers a much better max–min rate compared with that achieved by conventional proper Gaussian signaling.
Journal ArticleDOI
Improper Signaling for SISO Two-User Interference Channels With Additive Asymmetric Hardware Distortion
TL;DR: This paper investigates the rate benefits of IGS in a two-user interference channel (IC) with additive asymmetric HWD when interference is treated as noise and proposes two iterative algorithms to optimize the parameters of the improper transmit signals.
Journal ArticleDOI
Improper Signaling Versus Time-Sharing in the MISO Z-Interference Channel
TL;DR: An analytical proof for the optimality of proper signaling in the case of coded time-sharing is provided, and gains by improper signaling are numerically demonstrated in the cases without codedtime-sharing.
Journal ArticleDOI
Design of Asymptotically Optimal Improper Constellations With Hexagonal Packing
TL;DR: This paper proposes an algorithm to design finite improper constellations that provide significant SNR gains with respect to previous improper designs, which were generated through a widely linear transformation of a standard $M$ -ary quadrature amplitude modulation constellation.
Journal ArticleDOI
Improper Gaussian Signaling for the $K$ -User MIMO Interference Channels With Hardware Impairments
TL;DR: In this paper, the authors investigated the performance of improper Gaussian signaling (IGS) for the $K$ -user multiple-input, multiple-output (MIMO) interference channel (IC) with hardware impairments (HWI), where the received signal is a widely linear transformation of the transmitted signal and noise.
References
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TL;DR: In this article, the focus is on recognizing convex optimization problems and then finding the most appropriate technique for solving them, and a comprehensive introduction to the subject is given. But the focus of this book is not on the optimization problem itself, but on the problem of finding the appropriate technique to solve it.
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Roger A. Horn,Charles R. Johnson +1 more
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Nonlinear Programming: Theory and Algorithms
TL;DR: The book is a solid reference for professionals as well as a useful text for students in the fields of operations research, management science, industrial engineering, applied mathematics, and also in engineering disciplines that deal with analytical optimization techniques.
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Interference Alignment and Degrees of Freedom of the $K$ -User Interference Channel
Viveck R. Cadambe,Syed A. Jafar +1 more
TL;DR: For the fully connected K user wireless interference channel where the channel coefficients are time-varying and are drawn from a continuous distribution, the sum capacity is characterized as C(SNR)=K/2log (SNR)+o(log( SNR), which almost surely has K/2 degrees of freedom.
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Network Information Theory
Abbas El Gamal,Young-Han Kim +1 more
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