Grassmannian Signalling Achieves Tight Bounds on the Ergodic High-SNR Capacity of the Noncoherent MIMO Full-Duplex Relay Channel

Gohary, Ramy H.; Yanıkömeroğlu, Halim

doi:10.1109/tit.2014.2310467

Cited by 10 publications

(11 citation statements)

References 26 publications

Supporting

Mentioning

Contrasting

Order By: Relevance

“…Similar observations were made in [17] for the noncoherent MIMO full-duplex single relay channel with block-fading, where they showed that Grassmanian signaling could achieve the DoF without using the relay. Also, their results show that for certain regimes, decode-and-forward with Grassmanian signaling can approximately achieve the capacity at high SNR.…”

Section: Introductionsupporting

confidence: 74%

“…Also, their results show that for certain regimes, decode-and-forward with Grassmanian signaling can approximately achieve the capacity at high SNR. However, the assumption in [6], [17] is that the channel strengths are symmetric, i.e., the average strengths in the links are scaled proportional to SNR to study the high-SNR behavior. In many scenarios, the average strengths of the links can be asymmetric, i.e., some links could be significantly weaker than others.…”

Section: Introductionmentioning

confidence: 99%

“…We believe that the gDoF analysis can give a more robust approximation to the capacity of the network, compared to the DoF analysis, when 3 To be precise, two channel strengths ρ 2 1 , ρ the link strengths are significantly different. Thus our study is targeted towards the asymmetric channels (with average link strengths scaled as SNR γ l i ) in contrast to the symmetric channels (with average link strengths scaled proportional to SNR) studied in [6], [17]. Furthermore, our model is fundamentally different in the sense that we consider a 2-relay noncoherent network instead of the single relay noncoherent network in [6], [17].…”

Section: Introductionmentioning

confidence: 99%

See 2 more Smart Citations

Generalized Degrees of Freedom of Noncoherent Diamond Networks

Sebastian

2020

IEEE Trans. Inform. Theory

View full text Add to dashboard Cite

We study the generalized degrees of freedom (gDoF) of the block-fading noncoherent 2-user interference channel (IC) with a coherence time of T symbol durations and symmetric fading statistics.We demonstrate that a natural training-based scheme, to operate the noncoherent IC, is suboptimal in several regimes. As an alternate scheme, we propose a new noncoherent rate-splitting scheme. We also consider treating interference-as-noise (TIN) scheme and a time division multiplexing (TDM) scheme.We observe that a standard training-based scheme for IC is outperformed by one of these schemes in several regimes: our results demonstrate that for low average interference-to-noise ratio (INR), TIN is best; for high INR, TDM and the noncoherent rate-splitting give better performance. We also study the noncoherent IC with feedback and propose a noncoherent rate-splitting scheme. Again for the feedback case as well, our results demonstrate that a natural training-based scheme can be outperformed by other schemes.

show abstract

Section: Introductionsupporting

confidence: 74%

Section: Introductionmentioning

confidence: 99%

Section: Introductionmentioning

confidence: 99%

See 1 more Smart Citation

Generalized Degrees of Freedom of Noncoherent Diamond Networks

Sebastian

2020

IEEE Trans. Inform. Theory

View full text Add to dashboard Cite

show abstract

“…Proof idea: This is an adaptation of the existing results for MIMO from [2, Lemma 1]. The proof proceeds by substituting the post-rotated density p 1 (X) into (17), changing the variables of integration and using p (Y Φ|XΦ) = p (Y |X) from (15).…”

Section: B Properties Of Transmitted Signals That Achieve Capacitymentioning

confidence: 99%

Generalized Degrees Freedom of Noncoherent MIMO Channels With Asymmetric Link Strengths

Sebastian

Diggavi

2020

IEEE Trans. Inform. Theory

View full text Add to dashboard Cite

We study the generalized degrees of freedom (gDoF) of the block-fading noncoherent multiple input multiple output (MIMO) channel with asymmetric distributions of link strengths and a coherence time of T symbol durations. We derive the optimal signaling structure for communication for asymmetric MIMO, which is distinct from that for the MIMO with independent and identically distributed (i.i.d.)links. We extend the existing results for the single input multiple output (SIMO) channel with i.i.d. links to the asymmetric case, proving that selecting the statistically best antenna is gDoF-optimal. Using the gDoF result for SIMO, we prove that for T = 1, the gDoF is zero for MIMO channels with arbitrary link strengths. We show that selecting the statistically best antenna is gDoF-optimal for the multiple input single output (MISO) channel. We also derive the gDoF for the 2 × 2 MIMO channel with different exponents in the direct and cross links. In this setting, we show that it is always necessary to use both the antennas to achieve the optimal gDoF, in contrast to the results for the 2 × 2 MIMO with i.i.d. links. We show that having weaker crosslinks, gives gDoF gain compared to the case with i.i.d. links. For noncoherent MIMO with i.i.d. links, the traditional method of training each transmit antenna independently is degrees of freedom (DoF) optimal, whereas we observe that for the asymmetric 2 × 2 MIMO, the traditional training is not gDoF-optimal. We extend this observation to a larger M × M MIMO by demonstrating a strategy that can achieve larger gDoF than a traditional training-based method.

show abstract

“…In [15,16], the authors analyzed the ergodic capacity of FD cooperative NOMA employing the DF relaying protocol over Rayleigh fading channels. The authors in [17] presented the ergodic capacity of non-coherent MIMO Grassmannian modulation using DF over frequency flat block Rayleigh fading FDR. In [18], the authors evaluated the asymptotic ergodic capacity of AF FD relaying MIMO using Tracy-Widom distribution.…”

Section: Related Workmentioning

confidence: 99%

Ergodic Capacity Analysis of Full Duplex Relaying in the Presence of Co-Channel Interference in V2V Communications

Eshteiwi

Kaddoum

Alam

2020

Sensors

View full text Add to dashboard Cite

We analyze the ergodic capacity of a dual-hop full duplex amplify-and-forward (AF) vehicle-to-vehicle (V2V) cooperative relaying system over Nakagami-m fading channels. In this context, the impacts of self-interference (SI) at the relay and co-channel interference (CCI) at the destination are taken into account in this analysis. Precisely, based on the analysis of the moment generating function (MGF) of the signal-to-interference-plus-noise ratio (SINR), new exact and lower bound expressions for the ergodic capacity are derived. The ergodic capacity upper bound is also derived based on the asymptotic outage probability of the approximated SINR. Monte-Carlo simulation results are presented to corroborate the derived analytical results. Our results show the significant impact of the considered interferences on the system performance. It is shown that the ergodic capacity is degraded when the average SI at the relay and/or the average CCI at the destination is increased. This highlights the importance of taking these phenomena into account in the performance evaluation in order to assess the practical limit of full duplex relaying (FDR) cooperative wireless communications. Interestingly, it is also observed that FDR with SI and CCI still shows a higher ergodic capacity than the interference-free half duplex relaying, especially at medium to high signal-to-noise ratios (SNRs).

show abstract

Grassmannian Signalling Achieves Tight Bounds on the Ergodic High-SNR Capacity of the Noncoherent MIMO Full-Duplex Relay Channel

Cited by 10 publications

References 26 publications

Generalized Degrees of Freedom of Noncoherent Diamond Networks

Generalized Degrees of Freedom of Noncoherent Diamond Networks

Generalized Degrees Freedom of Noncoherent MIMO Channels With Asymmetric Link Strengths

Ergodic Capacity Analysis of Full Duplex Relaying in the Presence of Co-Channel Interference in V2V Communications

Contact Info

Product

Resources

About