On the diversity-multiplexing trade-off of diamond half-duplex relay channels

Soltanizadeh, Hediyeh; Parvaresh, Farzad

doi:10.1109/iraniancee.2016.7585381

“…2. The instantaneous mutual information of each cut can be obtained using an approach similar to [24] for the half-duplex diamond relay network, which gives…”

Section: B Dmt Cut-set Upper Boundmentioning

confidence: 99%

“…Similarly, Y j A is the sequence of symbols received at node A at the j'th phase. Equation ( 5) is derived in a similar fashion as [17], [24].…”

Section: B Dmt Cut-set Upper Boundmentioning

confidence: 99%

“…The detailed proof for the above discussion is the same as that in [6], [24] and thus is omitted here for the sake of brevity. Now we are ready to characterize the DMT cut-set upper bound, namely d u h.f. (r, t), in the following lemma.…”

Section: B Dmt Cut-set Upper Boundmentioning

confidence: 99%

“…In the sequel, the DMT of the equivalent full-duplex diamond network is employed as an important upper bound for the DMT of the proposed hybrid network, as in the full-duplex network both relays operate in full-duplex mode and the network does not suffer from any limitation in terms of duplexity. The DMT of the full-duplex (a, b, c, d)-diamond relay channel is formulated in [24] as Proposition 1. The DMT of full-duplex (a, b, c, d)-diamond relay network is given by…”

Section: B Proofsmentioning

confidence: 99%

“…Bounds on the achievable rates of the half-duplex diamond relay channel can be found in [22], [23]. The DMT of the diamond relay channel with single-antenna nodes and arbitrary average SNR exponents is studied in [24]. For the mentioned settings, the full-duplex DMT and the DMT of the SQMF strategy with fixed uniform scheduling among the states March 8, 2022 DRAFT of the half-duplex network are derived.…”

mentioning

confidence: 99%

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On the Diversity-Multiplexing Trade-off of Hybrid Diamond Relay Channels

Jorjani¹,

Narimani²,

Tabataba³

et al. 2022

Preprint

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0

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The diversity-multiplexing trade-off (DMT) of a diamond relay channel in a quasi-static slow Rayleigh fading environment is studied, where one of the relays operates in half-duplex mode while the other one is full-duplex; hence, the term hybrid is used to refer to this channel. DMT is a known powerful tool that captures the inherent tension between the reliability and the transmission rate in a wireless communication network at high signal-to-noise ratios (SNR). In this study, we have assumed that the average SNRs of different links vary at different rates, each represented by an exponent at high SNR. These average SNR exponents are categorized into two different classes: In Class I, both of the relays are placed either in close proximity to the source or in close proximity to the destination, whereas in Class II one of the relays is closer to the source while the other one is closer to the destination. Subsequently, for Class I and for a special symmetric case of Class II, an explicit expression of the DMT of the static quantize-map-and-forward (SQMF) strategy and the optimal static schedule in the half-duplex relay, is derived. The non-symmetric case of Class II can numerically be studied using the optimization problem provided in the paper for any given parameters. As a corollary, our analysis shows that for Class I, the SQMF strategy in the proposed hybrid diamond relay channel reaches the ideal full-duplex DMT upper bound if the degrees of freedom provided by the path through the full-duplex relay is greater than or equal to that provided by the path through the half-duplex relay, or if the degrees of freedom provided by the former is less than that provided by the latter, but still large enough to support the desired multiplexing gain.

show abstract

Computing diversity-multiplexing trade-off of static QMF communication strategy in half-duplex diamond relay channels

Soltanizadeh

¹

,

Parvaresh

²

,

Saberali

³

2016

2016 8th International Symposium on Telecommunications (IST)

View full text Add to dashboard Cite

On the Diversity-Multiplexing Trade-off of Hybrid Diamond Relay Channels

Jorjani¹,

Narimani²,

Tabataba³

et al. 2022

Preprint

Self Cite

0

View full text Add to dashboard Cite

The diversity-multiplexing trade-off (DMT) of a diamond relay channel in a quasi-static slow Rayleigh fading environment is studied, where one of the relays operates in half-duplex mode while the other one is full-duplex; hence, the term hybrid is used to refer to this channel. DMT is a known powerful tool that captures the inherent tension between the reliability and the transmission rate in a wireless communication network at high signal-to-noise ratios (SNR). In this study, we have assumed that the average SNRs of different links vary at different rates, each represented by an exponent at high SNR. These average SNR exponents are categorized into two different classes: In Class I, both of the relays are placed either in close proximity to the source or in close proximity to the destination, whereas in Class II one of the relays is closer to the source while the other one is closer to the destination. Subsequently, for Class I and for a special symmetric case of Class II, an explicit expression of the DMT of the static quantize-map-and-forward (SQMF) strategy and the optimal static schedule in the half-duplex relay, is derived. The non-symmetric case of Class II can numerically be studied using the optimization problem provided in the paper for any given parameters. As a corollary, our analysis shows that for Class I, the SQMF strategy in the proposed hybrid diamond relay channel reaches the ideal full-duplex DMT upper bound if the degrees of freedom provided by the path through the full-duplex relay is greater than or equal to that provided by the path through the half-duplex relay, or if the degrees of freedom provided by the former is less than that provided by the latter, but still large enough to support the desired multiplexing gain.

show abstract

On the diversity-multiplexing trade-off of diamond half-duplex relay channels

Cited by 3 publications

References 20 publications

On the Diversity-Multiplexing Trade-off of Hybrid Diamond Relay Channels

On the Diversity-Multiplexing Trade-off of Hybrid Diamond Relay Channels

Computing diversity-multiplexing trade-off of static QMF communication strategy in half-duplex diamond relay channels

On the Diversity-Multiplexing Trade-off of Hybrid Diamond Relay Channels

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