On the Maximum Achievable Partial Decode-and-Forward Rate for the Gaussian MIMO Relay Channel

Gerdes, Lennart; Weiland, Lorenz; Utschick, Wolfgang

doi:10.1109/tit.2015.2485995

Cited by 9 publications

(10 citation statements)

References 25 publications

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“…The idea of channel enhancement has previously been used, e.g., to study the MIMO broadcast channel [28], the MIMO wiretap channel [29], and the MIMO relay channel [30]. In all these cases, the authors increased channel gains (or, equivalently, reduced noise) in a way that the resulting scenarios became degraded.…”

Section: Resultsmentioning

confidence: 99%

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Improper Signaling Versus Time-Sharing in the Two-User Gaussian Interference Channel With TIN

Utschick

2020

IEEE Trans. Inform. Theory

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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.

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Section: Resultsmentioning

confidence: 99%

“…As described in [34], a possible method to recover a primal solution, i.e., a solution to the original problem (6), is to consider the dual linear program of the cutting plane problem (30). This problem reads Algorithm 1 Cutting Plane Method for Problem (28) Given L = 1 and an initialization p (1) :…”

Section: B Primal Recoverymentioning

confidence: 99%

Improper Signaling Versus Time-Sharing in the Two-User Gaussian Interference Channel With TIN

Utschick

2020

IEEE Trans. Inform. Theory

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“…This does not change the value on the left hand side of (11b), and due to (29), the value on the left hand side of (11a) remains unchanged as well. In essence, since the channel model in ( 27) consists of block-diagonal matrices with equal blocks, varying the power over the blocks in a single time slot is completely interchangeable with varying the power over two consecutive time slots.…”

Section: Lemma 1 Consider the Reduced Qr Decompositionmentioning

confidence: 95%

“…The idea of channel enhancement was originally proposed in [27] to make a nondegraded MIMO broadcast channel degraded by increasing some channel gains (or, equivalently, reducing the noise). The idea was later transferred to the MIMO wiretap channel [28] and the MIMO relay channel [29]. However, the channel enhancement argument that we use in this work is instead based on a different idea that was developed in [3] for the SISO interference-channel.…”

Section: Lemma 1 Consider the Reduced Qr Decompositionmentioning

confidence: 99%

Two-User SIMO Interference Channel with TIN: Improper Signaling versus Time-Sharing

Hellings,

Askerbeyli,

Utschick

2019

Preprint

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In the two-user Gaussian interference channel with Gaussian inputs and treating interference as noise (TIN), improper complex signals can be beneficial if time-sharing is not allowed or if only the data rates are averaged over several transmit strategies (convex hull formulation). On the other hand, proper (circularly symmetric) signals have recently been shown to be optimal if coded time-sharing is considered, i.e., if both the data rates and the transmit powers are averaged. In this paper, we show that both conclusions remain the same if singleinput multiple-output (SIMO) systems with multiple antennas at the receivers are considered. The proof for the case with coded time-sharing is via a novel enhanced channel concept for the two-user SIMO interference channel, which turns out to deliver a tight outer bound to the TIN rate region with coded time-sharing. The result for the case without coded timesharing is demonstrated by studying specific examples in which a newly proposed composite real gradient-projection method for improper signaling can outperform the globally optimal proper signaling strategy. In addition, we discuss how the achievable TIN rate region with coded time-sharing can be computed numerically.

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“…Proof: Since γ 1−2,s is a monotonically decreasing function of P 1 while γ 2−2,s in a monotonically increasing function of P 1 , then the maximization of R 2,s will take place at γ 1−2,s = γ 22,s which will result in the closedform expression in (29). Similarly, the maximization of min{R 1,s , R 1−2,s } will take place at γ 11,s = γ 1−2,s which will result in the closed-form expression in (30) using the same monotonicity argument as before.…”

Section: Propositionmentioning

confidence: 99%

On the Achievable Max-Min Rates of Cooperative Power-Domain NOMA Systems

Al-Ahmadi

2020

IEEE Access

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The non-orthogonal multiple access (NOMA) schemes, where the users are allowed to share the same time-frequency resource, have recently received a major interest to meet the increasing demands for higher data rates, improved user fairness, and/or lower latency dense-user applications in future wireless networks. Moreover, the achievable user rates of NOMA schemes can be further increased through the integration of these multiple access schemes with other enabling schemes such as full-duplex user cooperative communications. In this paper, the optimization of the achievable max-min rates for full-duplex cooperative NOMA schemes for the two-user scenario are re-visited and extended to the three-user scenario where novel expressions for the optimal user cooperation power are derived for both scenarios. The obtained results shed new lights on the optimal transmit power allocation and the optimal user cooperation power allocation in cooperative NOMA (CNOMA) systems and the different design trade-offs in such systems. INDEX TERMS Non-orthogonal multiple access schemes, cooperative communications, user cooperation, max-min rate, power allocation.

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On the Maximum Achievable Partial Decode-and-Forward Rate for the Gaussian MIMO Relay Channel

Cited by 9 publications

References 25 publications

Improper Signaling Versus Time-Sharing in the Two-User Gaussian Interference Channel With TIN

Improper Signaling Versus Time-Sharing in the Two-User Gaussian Interference Channel With TIN

Two-User SIMO Interference Channel with TIN: Improper Signaling versus Time-Sharing

On the Achievable Max-Min Rates of Cooperative Power-Domain NOMA Systems

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