An outer bound to the capacity region of broadcast channels (Corresp.)

1978 ◽  
Vol 24 (3) ◽  
pp. 374-377 ◽  
Author(s):  
H. Sato
Keyword(s):  
Broadcast Channels ◽  
Capacity Region ◽  
Outer Bound

scholarly journals On the Capacity Regions of Degraded Relay Broadcast Channels with and without Feedback

Entropy ◽  
2020 ◽  
Vol 22 (7) ◽  
pp. 784
Author(s):  
Bingbing Hu ◽  
Ke Wang ◽  
Yingying Ma ◽  
Youlong Wu
Keyword(s):  
Relay Node ◽  
Broadcast Channels ◽  
Feedback Signal ◽  
Capacity Region ◽  
Relay Feedback ◽  
The Third ◽  
Coding Scheme ◽  
Rate Region ◽  
Gaussian Case ◽  
Outer Bound

The four-node relay broadcast channel (RBC) is considered, in which a transmitter communicates with two receivers with the assistance of a relay node. We first investigate three types of physically degraded RBCs (PDRBCs) based on different degradation orders among the relay and the receivers’ observed signals. For the discrete memoryless (DM) case, only the capacity region of the second type of PDRBC is already known, while for the Gaussian case, only the capacity region of the first type of PDRBC is already known. In this paper, we step forward and make the following progress: (1) for the first type of DM-PDRBC, a new outer bound is established, which has the same rate expression as an existing inner bound, with only a slight difference on the input distributions; (2) for the second type of Gaussian PDRBC, the capacity region is established; (3) for the third type of PDRBC, the capacity regions are established both for DM and Gaussian cases. Besides, we also consider the RBC with relay feedback where the relay node can send the feedback signal to the transmitter. A new coding scheme based on a hybrid relay strategy and a layered Marton’s coding is proposed. It is shown that our scheme can strictly enlarge Behboodi and Piantanida’s rate region, which is tight for the second type of DM-PDRBC. Moreover, we show that capacity regions of the second and third types of PDRBCs are exactly the same as that without feedback, which means feedback cannot enlarge capacity regions for these types of RBCs.

scholarly journals Approximate Capacity Region of the MISO Broadcast Channels With Delayed CSIT

2016 ◽  
Vol 64 (7) ◽  
pp. 2913-2924 ◽  
Author(s):  
Alireza Vahid ◽  
Mohammad Ali Maddah-Ali ◽  
Amir Salman Avestimehr
Keyword(s):  
Broadcast Channels ◽  
Capacity Region
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