Secure Degrees-of-Freedom of the MIMO X Channel With Delayed CSIT

Zhang, Tong; Wang, Rui

doi:10.1109/lwc.2021.3065712

Cited by 7 publications

(7 citation statements)

References 14 publications

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“…Under symmetric antenna configurations, the advantages of the derived results over existing results in two-user MIMO interference networks with delayed feedback [14][15][16][17] are shown in Figure 2. In particular, Figure 2 shows that if 2N ≤ R, the derived sum-SDoF lower bound is higher than the sum-SDoF of MIMO XCCM with output feedback and delayed CSIT in [17] for M < N, the sum-SDoF of MIMO ICCM with local output feedback in [16] for M < 2N, the sum-SDoF lower bound of MIMO XCCM with delayed CSIT in [15] and the sum-SDoF lower bound of MIMO ICCM with delayed CSIT in [14] for all antenna configurations. The gain of our lower bound comes from the full-duplex relay taking over the artificial noise and interference transmission from the two transmitters.…”

Section: Remark 2 (Advantages Over Existing Results In Two-user Mimo Interference Network With Delayed Feedback [14-17])mentioning

confidence: 94%

“…Our results show that if the full-duplex relay has double antennas of the receiver, the proposed sum-SDoF lower bound is not less than the sum-SDoF in existing twouser interference networks with delayed feedback in [14][15][16][17], and can be higher than the sum-SDoF of MIMO X channel with output feedback and delayed CSIT in [17]. Moreover, the proposed sum-SDoF lower bound matches with the sum-SDoF upper bound for partial antenna configurations, characterizing the sum-SDoF for these antenna configurations.…”

mentioning

confidence: 85%

“…Recently, in [13], the interplay of link connectivity and alternating CSIT in MISO BCCM was studied from the SDoF perspective. Aside from the BCCM, there are many efforts devoted to investigate the SDoF of two-user interference networks with delayed feedback [14][15][16][17]. In [14], under symmetric antenna configurations, a sum-SDoF lower bound for MIMO ICCM with delayed CSIT was obtained.…”

Section: Introductionmentioning

confidence: 99%

“…In [14], under symmetric antenna configurations, a sum-SDoF lower bound for MIMO ICCM with delayed CSIT was obtained. In [15], under symmetric antenna configurations, a higher sum-SDoF lower bound than that in [14] was derived for MIMO XCCM with delayed CSIT, considering two more confidential messages. In [16], under symmetric antenna configurations, the sum-SDoF of MIMO ICCM with local output feedback was studied.…”

Section: Introductionmentioning

confidence: 99%

“…In [16], under symmetric antenna configurations, the sum-SDoF of MIMO ICCM with local output feedback was studied. In [17], under symmetric antenna configurations, the SDoF region of MIMO XCCM with output feedback and delayed CSIT was characterized, which has the highest sum-SDoF over that in [14][15][16].…”

Section: Introductionmentioning

confidence: 99%

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Full-Duplex Relay with Delayed CSI Elevates the SDoF of the MIMO X Channel

Zhang

Chen

Wang

et al. 2021

Entropy

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In this article, the sum secure degrees-of-freedom (SDoF) of the multiple-input multiple-output (MIMO) X channel with confidential messages (XCCM) and arbitrary antenna configurations is studied, where there is no channel state information (CSI) at two transmitters and only delayed CSI at a multiple-antenna, full-duplex, and decode-and-forward relay. We aim at establishing the sum-SDoF lower and upper bounds. For the sum-SDoF lower bound, we design three relay-aided transmission schemes, namely, the relay-aided jamming scheme, the relay-aided jamming and one-receiver interference alignment scheme, and the relay-aided jamming and two-receiver interference alignment scheme, each corresponding to one case of antenna configurations. Moreover, the security and decoding of each scheme are analyzed. The sum-SDoF upper bound is proposed by means of the existing SDoF region of two-user MIMO broadcast channel with confidential messages (BCCM) and delayed channel state information at the transmitter (CSIT). As a result, the sum-SDoF lower and upper bounds are derived, and the sum-SDoF is characterized when the relay has sufficiently large antennas. Furthermore, even assuming no CSI at two transmitters, our results show that a multiple-antenna full-duplex relay with delayed CSI can elevate the sum-SDoF of the MIMO XCCM. This is corroborated by the fact that the derived sum-SDoF lower bound can be greater than the sum-SDoF of the MIMO XCCM with output feedback and delayed CSIT.

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Section: Remark 2 (Advantages Over Existing Results In Two-user Mimo Interference Network With Delayed Feedback [14-17])mentioning

confidence: 94%

mentioning

confidence: 85%

Section: Introductionmentioning

confidence: 99%

Section: Introductionmentioning

confidence: 99%

Section: Introductionmentioning

confidence: 99%

See 3 more Smart Citations

Full-Duplex Relay with Delayed CSI Elevates the SDoF of the MIMO X Channel

Zhang

Chen

Wang

et al. 2021

Entropy

Self Cite

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The DoF Region of Order-(K - 1) Messages for the K-user MIMO Broadcast Channel with Delayed CSIT

Zhang

Wang

et al. 2021

2021 IEEE/CIC International Conference on Communications in China (ICCC)

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Most of the existing research on degrees-of-freedom (DoF) with imperfect channel state information at the transmitter (CSIT) assume the messages are private, which may not reflect reality as the two receivers can request the same content. To overcome this limitation, we consider hybrid private and common messages. We characterize the optimal DoF region for the two-user multiple-input multipleoutput (MIMO) broadcast channel with hybrid messages and imperfect CSIT. We establish a three-step procedure for the DoF converse to exploit the utmost possible relaxation. For the DoF achievability, since the DoF region has a specific three-dimensional structure w.r.t. antenna configurations and CSIT qualities, by dividing CSIT qualities into cases, we check the existence of corner point solutions, and then design a hybrid messages-aware rate-splitting scheme to achieve them. Besides, we show that to achieve the strictly positive corner points, it is unnecessary to split the private messages into unicast and multicast parts because the allocated power for the multicast part should be zero. This implies that adding a common message can mitigate the rate-splitting complexity of private messages.

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