分布式角色选择：ANC与TDBC协议在双向中继系统中的应用

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本文主要探讨了在双向中继系统中如何通过融合经典的模拟网络编码(ANC)协议和时间分段广播(TDBC)协议来实现分布式角色选择(distributed Role Selection, d-ROSE)策略。作者Haiyang Ding、Daniel Benevides da Costa、Mohamed-Slim Alouini、Jianhua Ge 和 Feng-Kui Gong作为IEEE的会员或高级会员，共同提出了这一创新性的方法。在传统的双向中继通信中，多节点间的协作传输往往需要协调和确定每个节点的适当角色，例如转发器、接收器或同时进行这两项任务。d-ROSE策略旨在通过结合当地信道状态信息比较和决策反馈机制，让每个节点能在分布式环境中自主决定其角色，从而简化协调过程。这不仅提高了系统的灵活性，也减少了中心化决策带来的复杂性和延迟。论文首先分析了在基于ANC的和基于TDBC的两种双向中继场景下，d-ROSE策略与最优角色选择(Optimal ROSE)策略的等效性。通过严谨的证明，作者表明尽管两种方法在形式上有所不同，但最终的角色决策本质上是相同的，这意味着d-ROSE能够在保持效率的同时，避免了优化问题带来的计算成本。接着，文章深入进行了d-ROSE策略的 outage (失败率)分析，即系统在信号噪声比(SNR)较高的情况下，性能和稳定性如何随节点数量和信道条件变化。这部分分析对于评估系统的可靠性和扩展性至关重要，因为高SNR通常意味着更远的距离和更多的干扰，而d-ROSE的设计应能确保在这些条件下仍能维持高效通信。这篇研究论文为双向中继系统提供了一种创新的角色选择方法，它将ANC和TDBC的优势结合起来，实现了分布式决策，有助于提升通信系统的效率、可靠性和适应性。这对于无线网络特别是大规模协作通信系统的设计具有重要意义，为未来的研究和实际应用提供了有价值的理论支持。

4730 IEEE TRANSACTIONS ON COMMUNICATIONS, VOL. 63, NO. 12, DECEMBER 2015

TABL E I

OLE DECISION RULE OF DISTRIBUTED ROSE FOR TDBC-BASED TWO -WAY RELAYING

Fig. 2. Flowchart of the distributed ROSE strategy for TDBC-based two-way

relaying.

a 1-bit signaling “0” to denote the contrary comparison result.

Upon hearing the local decision of N

draws a comparison

of g

and g

, and then declares its local decision by broadcast-

ing a 1-bit signaling “0” or “1”. By overhearing the signaling

broadcast of N

and N

, each node knows the local decision

results of N

and N

. Up to now, if Case 1, 2, or 3 in Table I

occurs, the distributed role selection process terminates and

2-bit signaling overhead is sufﬁcient for the whole role decision

process.

Otherwise, N

will start a third round of local decision and

then broadcast a 1-bit signaling “0” or “1” to signify the rela-

tionship between g

and g

. In this worst case, the local

decisions of the three nodes are known globally and the three

nodes would arrive at an unique role selection result based on

Table I.

B. Analog Network Coding (ANC) Protocol

For ANC protocol, when N

and N

act as the end-sources

and N

serves as the relay (i, j, k ∈{1, 2, 3}, i = j = k), the

end-to-end dual-hop SNR associated with the links N

→

→ N

and N

→ N

can be formulated, respec-

tively, as

ijk

+ 2 g

,γ

kji

+ 2 g

. (5)

To proceed, we deﬁne the bottleneck SNR of the two unidirec-

tional information ﬂows for the three possible role conﬁgura-

tion solutions as below

(1)

 min



213

,γ

312



,γ

(2)

 min



123

,γ

321



(3)

 min



132

,γ

231



. (6)

1) Centralized Role Selection for ANC: To maximize the

bottleneck transmission rate of the two unidirectional informa-

tion ﬂows, the end-to-end bottleneck SNR of the centralized

role conﬁguration solution should satisfy

ANC

e2e

= max

i∈{1,2,3}



(i)



. (7)

As in the case of TDBC protocol, the above role selection is

typically implemented via a centralized role decision at cer-

tain terminal and the centralized acquisition of global CSI is

indispensable. However, in general, t he centralized collection of

global CSI will incur considerable signaling overhead. To avoid

this problem, in what follows we introduce a high-efﬁcient

distributed role selection strategy for ANC-based two-way

relaying scenario.

2) Distributed Role Selection for ANC: Herein, we utilize

the harmonic mean-minimum inequality [30] to attain the tight

bounds of the end-to-end two-way bottleneck SNR for the three

possible role conﬁguration solutions:

ˆγ

(1)

 min



ˆγ

213

, ˆγ

312



, ˆγ

(2)

 min



ˆγ

123

, ˆγ

321



ˆγ

(3)

 min



ˆγ

132

, ˆγ

231



, (8)

where ˆγ

ijk



min[g

, 2g

](i, j, k ∈{1, 2, 3}, i = j = k).

Accordingly, (8) can be simpliﬁed as

ˆγ

(1)

min



, g



, ˆγ

(2)

min



, g



ˆγ

(3)

min



, g



. (9)

By adopting the above tight bounds as the equivalent end-to-

end two-way bottleneck SNR, the role decision rule of the

Similar to (1), herein an approximated amplifying coefﬁcient is deployed at

relay as in [29, Eq. (2)], whose system outage performance is shown to be very

close to that with the exact amplifying coefﬁcient at relay [29, Eq. (1)].

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