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An EXIT-Chart Aided Design Procedure for Near-Capacity N-Component Parallel Concatenated Codes

An EXIT-Chart Aided Design Procedure for Near-Capacity N-Component Parallel Concatenated Codes
An EXIT-Chart Aided Design Procedure for Near-Capacity N-Component Parallel Concatenated Codes
Shannon’s channel capacity specifies the upper bound on the amount of bits per channel use. In this paper, we explicitly demonstrate that twin-component turbo codes suffer from a capacity loss, when the component code rate is less than unity, which is shown by exploiting the so-called area properties of Extrinsic Information Transfer (EXIT) charts. This capacity loss is unavoidable for twin-component turbo codes, when the overall turbo coding rate is less than 1=2, while multiple-component turbo codes are capable of overcoming it by using unity-rate component codes. In order to demonstrate that multiplecomponent turbo codes are capable of exhibiting a better asymptotic performance, the minimum Signal Noise Ratio (SNR) required for the EXIT charts to have open convergence tunnels is used as our metric, which is referred to as ‘the open tunnel SNR threshold’. Furthermore, the employment of conventional two-dimensional EXIT charts is extended to facilitate the analysis of N-component turbo codes. Our results confirm that multiple-component turbo codes approach the Discrete-input Continuous-output Memoryless Channel’s (DCMC) capacity more closely and achieve a lower Bit Error Ratio (BER) than twin-component turbo codes at the same coding rate and the same complexity.
Chen, Hong
0f30c1b9-7831-4010-a81c-c6825f78af16
Maunder, Robert G.
76099323-7d58-4732-a98f-22a662ccba6c
Hanzo, Lajos
66e7266f-3066-4fc0-8391-e000acce71a1
Chen, Hong
0f30c1b9-7831-4010-a81c-c6825f78af16
Maunder, Robert G.
76099323-7d58-4732-a98f-22a662ccba6c
Hanzo, Lajos
66e7266f-3066-4fc0-8391-e000acce71a1

Chen, Hong, Maunder, Robert G. and Hanzo, Lajos (2010) An EXIT-Chart Aided Design Procedure for Near-Capacity N-Component Parallel Concatenated Codes. IEEE Global Telecommunications Conference, 2010. GLOBECOM 2010, Miami, Miamai, United States. 06 - 10 Dec 2010. (doi:10.1109/GLOCOM.2010.5683678).

Record type: Conference or Workshop Item (Paper)

Abstract

Shannon’s channel capacity specifies the upper bound on the amount of bits per channel use. In this paper, we explicitly demonstrate that twin-component turbo codes suffer from a capacity loss, when the component code rate is less than unity, which is shown by exploiting the so-called area properties of Extrinsic Information Transfer (EXIT) charts. This capacity loss is unavoidable for twin-component turbo codes, when the overall turbo coding rate is less than 1=2, while multiple-component turbo codes are capable of overcoming it by using unity-rate component codes. In order to demonstrate that multiplecomponent turbo codes are capable of exhibiting a better asymptotic performance, the minimum Signal Noise Ratio (SNR) required for the EXIT charts to have open convergence tunnels is used as our metric, which is referred to as ‘the open tunnel SNR threshold’. Furthermore, the employment of conventional two-dimensional EXIT charts is extended to facilitate the analysis of N-component turbo codes. Our results confirm that multiple-component turbo codes approach the Discrete-input Continuous-output Memoryless Channel’s (DCMC) capacity more closely and achieve a lower Bit Error Ratio (BER) than twin-component turbo codes at the same coding rate and the same complexity.

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Published date: December 2010
Venue - Dates: IEEE Global Telecommunications Conference, 2010. GLOBECOM 2010, Miami, Miamai, United States, 2010-12-06 - 2010-12-10
Organisations: Southampton Wireless Group

Identifiers

Local EPrints ID: 271304
URI: http://eprints.soton.ac.uk/id/eprint/271304
PURE UUID: fdc2fa50-460d-4adf-ab58-3e3dae7b9859
ORCID for Robert G. Maunder: ORCID iD orcid.org/0000-0002-7944-2615
ORCID for Lajos Hanzo: ORCID iD orcid.org/0000-0002-2636-5214

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Date deposited: 25 Jun 2010 09:57
Last modified: 18 Mar 2024 03:09

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Contributors

Author: Hong Chen
Author: Robert G. Maunder ORCID iD
Author: Lajos Hanzo ORCID iD

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