---
_id: '6737'
abstract:
- lang: eng
text: This paper presents polar coding schemes for the two-user discrete memoryless
broadcast channel (DM-BC) which achieve Marton's region with both common and private
messages. This is the best achievable rate region known to date, and it is tight
for all classes of two-user DM-BCs whose capacity regions are known. To accomplish
this task, we first construct polar codes for both the superposition as well as
binning strategy. By combining these two schemes, we obtain Marton's region with
private messages only. Finally, we show how to handle the case of common information.
The proposed coding schemes possess the usual advantages of polar codes, i.e.,
they have low encoding and decoding complexity and a superpolynomial decay rate
of the error probability. We follow the lead of Goela, Abbe, and Gastpar, who
recently introduced polar codes emulating the superposition and binning schemes.
To align the polar indices, for both schemes, their solution involves some degradedness
constraints that are assumed to hold between the auxiliary random variables and
channel outputs. To remove these constraints, we consider the transmission of
k blocks and employ a chaining construction that guarantees the proper alignment
of the polarized indices. The techniques described in this paper are quite general,
and they can be adopted to many other multiterminal scenarios whenever there polar
indices need to be aligned.
author:
- first_name: Marco
full_name: Mondelli, Marco
id: 27EB676C-8706-11E9-9510-7717E6697425
last_name: Mondelli
orcid: 0000-0002-3242-7020
- first_name: Hamed
full_name: Hassani, Hamed
last_name: Hassani
- first_name: Igal
full_name: Sason, Igal
last_name: Sason
- first_name: Rudiger
full_name: Urbanke, Rudiger
last_name: Urbanke
citation:
ama: Mondelli M, Hassani H, Sason I, Urbanke R. Achieving Marton’s region for broadcast
channels using polar codes. IEEE Transactions on Information Theory. 2015;61(2):783-800.
doi:10.1109/tit.2014.2368555
apa: Mondelli, M., Hassani, H., Sason, I., & Urbanke, R. (2015). Achieving Marton’s
region for broadcast channels using polar codes. IEEE Transactions on Information
Theory. IEEE. https://doi.org/10.1109/tit.2014.2368555
chicago: Mondelli, Marco, Hamed Hassani, Igal Sason, and Rudiger Urbanke. “Achieving
Marton’s Region for Broadcast Channels Using Polar Codes.” IEEE Transactions
on Information Theory. IEEE, 2015. https://doi.org/10.1109/tit.2014.2368555.
ieee: M. Mondelli, H. Hassani, I. Sason, and R. Urbanke, “Achieving Marton’s region
for broadcast channels using polar codes,” IEEE Transactions on Information
Theory, vol. 61, no. 2. IEEE, pp. 783–800, 2015.
ista: Mondelli M, Hassani H, Sason I, Urbanke R. 2015. Achieving Marton’s region
for broadcast channels using polar codes. IEEE Transactions on Information Theory.
61(2), 783–800.
mla: Mondelli, Marco, et al. “Achieving Marton’s Region for Broadcast Channels Using
Polar Codes.” IEEE Transactions on Information Theory, vol. 61, no. 2,
IEEE, 2015, pp. 783–800, doi:10.1109/tit.2014.2368555.
short: M. Mondelli, H. Hassani, I. Sason, R. Urbanke, IEEE Transactions on Information
Theory 61 (2015) 783–800.
date_created: 2019-07-31T07:03:38Z
date_published: 2015-02-01T00:00:00Z
date_updated: 2021-01-12T08:08:46Z
day: '01'
doi: 10.1109/tit.2014.2368555
extern: '1'
external_id:
arxiv:
- '1401.6060'
intvolume: ' 61'
issue: '2'
language:
- iso: eng
main_file_link:
- open_access: '1'
url: https://arxiv.org/abs/1401.6060
month: '02'
oa: 1
oa_version: Preprint
page: 783-800
publication: IEEE Transactions on Information Theory
publication_status: published
publisher: IEEE
quality_controlled: '1'
status: public
title: Achieving Marton’s region for broadcast channels using polar codes
type: journal_article
user_id: 2DF688A6-F248-11E8-B48F-1D18A9856A87
volume: 61
year: '2015'
...