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Near-capacity joint source and channel coding of symbol values from an infinite source set using Elias Gamma Error correction codes

Near-capacity joint source and channel coding of symbol values from an infinite source set using Elias Gamma Error correction codes
Near-capacity joint source and channel coding of symbol values from an infinite source set using Elias Gamma Error correction codes
In this paper we propose a novel low-complexity Joint Source and Channel Code (JSCC), which we refer to as the Elias Gamma Error Correction (EGEC) code. Like the recently-proposed Unary Error Correction (UEC) code, this facilitates the practical near-capacity transmission of symbol values that are randomly selected from a set having an infinite cardinality, such as the set of all positive integers. However, in contrast to the UEC code, our EGEC code is a universal code, facilitating the transmission of symbol values that are randomly selected using any monotonic probability distribution. When the source symbols obey a particular zeta probability distribution, our EGEC scheme is shown to offer a 3.4 dB gain over a UEC benchmarker, when Quaternary Phase Shift Keying (QPSK) modulation is employed for transmission over an uncorrelated narrowband Rayleigh fading channel. In the case of another zeta probability distribution, our EGEC scheme offers a 1.9 dB gain over a Separate Source and Channel Coding (SSCC) benchmarker.
280-292
Wang, T.
6ebae192-c5d9-4506-8780-82db62caa1ca
Zhang, W.
1c80d4f2-4ba8-41f6-85a6-a76a4d65dc9b
Maunder, R.G.
76099323-7d58-4732-a98f-22a662ccba6c
Hanzo, L.
66e7266f-3066-4fc0-8391-e000acce71a1
Wang, T.
6ebae192-c5d9-4506-8780-82db62caa1ca
Zhang, W.
1c80d4f2-4ba8-41f6-85a6-a76a4d65dc9b
Maunder, R.G.
76099323-7d58-4732-a98f-22a662ccba6c
Hanzo, L.
66e7266f-3066-4fc0-8391-e000acce71a1

Wang, T., Zhang, W., Maunder, R.G. and Hanzo, L. (2014) Near-capacity joint source and channel coding of symbol values from an infinite source set using Elias Gamma Error correction codes IEEE Transactions on Communications, 62, (1), pp. 280-292.

Record type: Article

Abstract

In this paper we propose a novel low-complexity Joint Source and Channel Code (JSCC), which we refer to as the Elias Gamma Error Correction (EGEC) code. Like the recently-proposed Unary Error Correction (UEC) code, this facilitates the practical near-capacity transmission of symbol values that are randomly selected from a set having an infinite cardinality, such as the set of all positive integers. However, in contrast to the UEC code, our EGEC code is a universal code, facilitating the transmission of symbol values that are randomly selected using any monotonic probability distribution. When the source symbols obey a particular zeta probability distribution, our EGEC scheme is shown to offer a 3.4 dB gain over a UEC benchmarker, when Quaternary Phase Shift Keying (QPSK) modulation is employed for transmission over an uncorrelated narrowband Rayleigh fading channel. In the case of another zeta probability distribution, our EGEC scheme offers a 1.9 dB gain over a Separate Source and Channel Coding (SSCC) benchmarker.

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e-pub ahead of print date: 9 December 2013
Published date: 23 January 2014
Organisations: Southampton Wireless Group

Identifiers

Local EPrints ID: 346658
URI: http://eprints.soton.ac.uk/id/eprint/346658
PURE UUID: 0e58c2e6-2b34-4b6a-979e-7466255d393e
ORCID for R.G. Maunder: ORCID iD orcid.org/0000-0002-7944-2615
ORCID for L. Hanzo: ORCID iD orcid.org/0000-0002-2636-5214

Catalogue record

Date deposited: 04 Jan 2013 16:50
Last modified: 10 Nov 2017 01:13

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Contributors

Author: T. Wang
Author: W. Zhang
Author: R.G. Maunder ORCID iD
Author: L. Hanzo ORCID iD

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