The University of Southampton
University of Southampton Institutional Repository

Irregular Trellis for the Near-Capacity Unary Error Correction Coding of Symbol Values From an Infinite Set

Zhang, Wenbo, Brejza, Matthew F., Wang, Tao, Maunder, Robert G. and Hanzo, Lajos (2015) Irregular Trellis for the Near-Capacity Unary Error Correction Coding of Symbol Values From an Infinite Set IEEE Transactions on Communications, 63, (12), pp. 5073-5088. (doi:10.1109/TCOMM.2015.2493149).

Record type: Article


Irregular joint source and channel coding (JSCC) scheme is proposed, which we refer to as the irregular unary error correction (IrUEC) code. This code operates on the basis of a single irregular trellis, instead of employing a set of separate regular trellises, as in previous irregular trellis-based codes. Our irregular trellis is designed with consideration of the UEC free distance, which we characterize for the first time in this paper. We conceive the serial concatenation of the proposed IrUEC code with an irregular unity rate code (IrURC) code and propose a new EXtrinsic Information Transfer (EXIT) chart matching algorithm for parametrizing these codes. This facilitates the creation of a narrow EXIT tunnel at a low Eb/N0 value and provides near-capacity operation. Owing to this, our scheme is found to offer a low symbol error ratio (SER), which is within 0.4 dB of the discrete-input continuous-output memoryless channel (DCMC) capacity bound in a particular practical scenario, where gray-mapped quaternary phase shift keying (QPSK) modulation is employed for transmission over an uncorrelated narrowband Rayleigh-fading channel with an effective throughput of 0.508bits-1 Hz-1. Furthermore, the proposed IrUEC-IrURC scheme offers a SER performance gain of 0.8 dB, compared to the best of several regular and irregular separate source and channel coding (SSCC) benchmarkers, which is achieved without any increase in transmission energy, bandwidth, transmit duration, or decoding complexity.

PDF tcomm-hanzo-2493149-proof.pdf - Accepted Manuscript
Download (2MB)

More information

Accepted/In Press date: 8 October 2015
Published date: 26 October 2015
Organisations: Southampton Wireless Group


Local EPrints ID: 386811
PURE UUID: 701c6491-5616-4e20-ab24-c300be7ef5a4
ORCID for Robert G. Maunder: ORCID iD

Catalogue record

Date deposited: 02 Feb 2016 12:46
Last modified: 17 Jul 2017 19:47

Export record



Author: Wenbo Zhang
Author: Matthew F. Brejza
Author: Tao Wang
Author: Robert G. Maunder ORCID iD
Author: Lajos Hanzo

University divisions

Download statistics

Downloads from ePrints over the past year. Other digital versions may also be available to download e.g. from the publisher's website.

View more statistics

Atom RSS 1.0 RSS 2.0

Contact ePrints Soton:

ePrints Soton supports OAI 2.0 with a base URL of

This repository has been built using EPrints software, developed at the University of Southampton, but available to everyone to use.

We use cookies to ensure that we give you the best experience on our website. If you continue without changing your settings, we will assume that you are happy to receive cookies on the University of Southampton website.