On Achievable Rates for the General Relay Channel

Chong, Hon-Fah; Motani, Mehul

doi:10.1109/tit.2011.2104473

Cited by 15 publications

(24 citation statements)

References 21 publications

Supporting

Mentioning

Contrasting

Unclassified

Order By: Relevance

“…In agreement with Theorem 4, the gain offered by the generalized DF-CF scheme is strictly less than 0.5 bpcu. Similar to the numerical results reported for the generalization in [27], the rate advantage of the generalization considered herein is marginal. The cut-set bound at these particular SNRs is 1.54503 bpcu and the gap to the generalized DF-CF rate is 0.31755 bpcu.…”

Section: Numerical Resultssupporting

confidence: 85%

“…We note that another proof that uses a different approach has been obtained independently in Lemma 2 and Remark 5 of [27].…”

Section: Appendix B Proof Of Theoremmentioning

confidence: 99%

“…Another instance was considered in [24], wherein a particular geometric setup of a Gaussian relay network was considered and a numerical demonstration of the rate advantage of the generalized DF-CF scheme over DF and CF was provided. Building on the generalized DF-CF scheme, other potentially more advantageous, mixed DF and CF schemes have been recently proposed in [25]- [27]. Similar to the generalization proposed in [5,Theorem 7], the mixed schemes proposed in [25]- [27] rely on the fundamental mechanism of superimposing DF and CF.…”

Section: Introductionmentioning

confidence: 99%

“…Building on the generalized DF-CF scheme, other potentially more advantageous, mixed DF and CF schemes have been recently proposed in [25]- [27]. Similar to the generalization proposed in [5,Theorem 7], the mixed schemes proposed in [25]- [27] rely on the fundamental mechanism of superimposing DF and CF. Hence, the analysis methodology proposed herein for the generalized DF-CF scheme in [5,Theorem 7] can be extended to those mixed strategies.…”

Section: Introductionmentioning

confidence: 99%

“…The Karush-Kuhn-Tucker (KKT) optimality conditions corresponding to the problem of maximizing the achievable rate are then analyzed to draw insight into the generalized DF-CF scheme and to obtain the aforementioned results. A similar approach can be used to analyze the mixed DF-CF strategies in [25]- [27], but this is beyond the scope of this paper. To obtain a better understanding of the generalized DF-CF, we further analyze its maximum achievable rate and show that it is at most 0.5 bits per channel use (bpcu) higher than that achieved by the underlying DF and CF schemes.…”

Section: Introductionmentioning

confidence: 99%

See 4 more Smart Citations

Analysis of the Generalized DF-CF for Gaussian Relay Channels: Decode or Compress?

Luo

Gohary

Yanıkömeroğlu

2013

IEEE Trans. Commun.

View full text Add to dashboard Cite

Abstract-We consider a three-node quasi-static communication system with a full-duplex relay. The goal is to determine the relaying mode that enables rate-efficient communication under given channel conditions. To achieve this goal, we consider a generalized scheme that subsumes the decode-and-forward (DF) and compress-and-forward (CF) schemes as special cases. The generalized scheme is considered when the source and relay signals are synthesized from commonly-used Gaussian codebooks, which are shown to be capacity achieving in two asymptotic cases: perfect relay-destination link and broken source-destination link. Studying the generalized DF-CF scheme, it is shown that, for two non-asymptotic cases in which the signal-to-noise ratios (SNRs) of the links satisfy certain conditions, this scheme reduces to either DF or CF. For another set of non-asymptotic SNRs, the generalized scheme is shown to yield strictly higher rates than both DF and CF. Despite the complexity of the generalized scheme, its rate advantage over DF and CF is shown to be upper bounded by 0.5 bits per channel use. This indicates that the practical benefit of the analysis of this scheme is to enable selecting the relaying mode that suits a given channel realization. Numerical results show that, under Rayleigh fading conditions, this selection yields significant gains over fixed DF and CF.

show abstract

Section: Numerical Resultssupporting

confidence: 85%

“…We note that another proof that uses a different approach has been obtained independently in Lemma 2 and Remark 5 of [27].…”

Section: Appendix B Proof Of Theoremmentioning

confidence: 99%

Section: Introductionmentioning

confidence: 99%

Section: Introductionmentioning

confidence: 99%

Section: Introductionmentioning

confidence: 99%

See 3 more Smart Citations

Analysis of the Generalized DF-CF for Gaussian Relay Channels: Decode or Compress?

Luo

Gohary

Yanıkömeroğlu

2013

IEEE Trans. Commun.

View full text Add to dashboard Cite

show abstract

Closing Remarks and Further Exploration

2019

Digital Communication for Practicing Engineers

View full text Add to dashboard Cite

A hybrid DF and CF scheme with adaptive power allocation for half-duplex relay channel

Chen

Fan

2015

2015 IEEE International Conference on Communications (ICC)

View full text Add to dashboard Cite

Ahstract-The relay scheme and the corresponding rate per formance are considered for a half-duplex relay channel in which the source can only transmit information with fixed power. As different relay strategies result in different rate performance, we first present a decision criterion for selecting between Decode and-Forward (DF) and Compress-and-Forward (CF) strategies by thoroughly analyzing their achievable rate. Based on the analysis result, the maximmn of the DF rate and CF rate can be achieved by strategy selection procedure. To further obtain a larger rate, we put forward a hybrid DF-CF scheme in which the strategy selection between DF and CF is combined with active relay power allocation efficiently. It is shown that the concave envelope of the maximum of DF rate and CF rate is achievable via our new developed hybrid scheme. For the convenience of implementation, we also present a suboptimal setting for the hybrid DF -CF scheme. Nmnerical results show that the suboptimal setting can achieve a rate approaching the maximal rate.

show abstract

On Achievable Rates for the General Relay Channel

Cited by 15 publications

References 21 publications

Analysis of the Generalized DF-CF for Gaussian Relay Channels: Decode or Compress?

Analysis of the Generalized DF-CF for Gaussian Relay Channels: Decode or Compress?

Closing Remarks and Further Exploration

A hybrid DF and CF scheme with adaptive power allocation for half-duplex relay channel

Contact Info

Product

Resources

About