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Details of Grant 

EPSRC Reference: GR/N00562/01
Title: IRREGULAR GALLAGER-TYPE ERROR-CORRECTING CODES - A STATISTICAL MECHANICS PERSPECTIVE
Principal Investigator: Saad, Professor D
Other Investigators:
Researcher Co-Investigators:
Project Partners:
Department: Sch of Engineering and Applied Science
Organisation: Aston University
Scheme: Standard Research (Pre-FEC)
Starts: 01 October 2000 Ends: 30 September 2002 Value (£): 109,649
EPSRC Research Topic Classifications:
Digital Signal Processing
EPSRC Industrial Sector Classifications:
Communications No relevance to Underpinning Sectors
Related Grants:
Panel History:  
Summary on Grant Application Form
Gallager-type error correcting codes are based on randomly generated sparse matrices employed in both generating the code worked and decoding the corrupted received message. These have been recently rediscovered and are among the leading error-correcting codes, especially in their irregular configuration. Although some theoretical work has been carried out in this area, the more substantial performance evaluation comes from numerical studies.In a recent study we offered a statistical mechanics framework for examining analytically the efficiency of regular Gallagher-type codes. The insight gained from the analysis facilitated the constructions of new Gallager-type codes with cascading connections which outperform other state-of-the-art codes. This project, based on extending the current theoretical framework, will focus on examining the efficiency and usefulness of general (mainly irregular) Gallage-type codes, aiming at optimising the connectivity distribution. In addition, we will investigate the efficacy of belief-propagation based decoding techniques in various scenarios and transmission channels. We will use the theoretical framework to suggest novel methods and/or improvements to existing encoding/decoding techniques. These will be examined both analytically and via numerical simulations.
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Organisation Website: http://www.aston.ac.uk