Low-Density Parity-Check Code-basierte gemeinsame Quellen- und Kanalcodierung

• Applicant: Professor Dr.-Ing. Werner Henkel
• Subject Area: Electronic Semiconductors, Components and Circuits, Integrated Systems, Sensor Technology, Theoretical Electrical Engineering
• Term: from 2012 to 2015
• Project identifier: Deutsche Forschungsgemeinschaft (DFG) - Project number 214211206

• Final Report Year: 2017

Final Report Abstract

The research reported herein was motivated by the widely observed fact that for communication systems transmitting in the non-asymptotic regime with limited delay constraints, a separated design of the source and channel encoders is not optimum and gains in complexity and fidelity may be obtained by a joint design strategy. The joint source-channel coding approach we chose to follow is based on the application of low-density parity-check codes as both source and channel codes. Descriptions of such systems could already be found in the literature by the time we initiated our investigations. However, their error-rate curves presented very high error floors making their application in practical systems unattractive. In order to mitigate such a drawback, we proposed a novel system where the amount of information about the source bits available at the decoder is increased by means of an improvement in the connection profile between the factor graphs of the source and channel codes that compound the joint system. Furthermore, we proposed the application of shortened low-density parity-check codes to the syndrome-based source encoding as an strategy to mitigate the error floors we detected in some of the performance curves of the system we developed. The results obtained show that we successfully managed to improve the performance of joint source-channel coding systems based on low-density parity-check codes for a wide range of source entropies and channel conditions. Moreover, these same results suggest that the systems described herein have a strong potential to be applied in the context of distributed source coding with side information at the decoder and to systems which make use of joint source-channel coding operating in the finite-length regime.

Publications

• Analysis and Design of Modern Coding Schemes for Unequal Error Protection and Joint Source-Channel Coding Ph.D. thesis, Jacobs University Bremen, Shaker Verlag, 2012, ISBN: 9783844013276
  H. V. Beltrão Neto
  
• “Multi-edge Optimization of Low-Density Parity-Check Codes for Joint Source-Channel Coding,” in Proc. 9th International ITG Conference on Source and Channel Coding, Munich, Germany, January 21-24, 2013
  H. V. Beltrão Neto and W. Henkel
  
• “Information Shortening for Joint Source-Channel Coding Schemes Based on Low-Density Parity-Check Codes” IEEE 2014 8th International Symposium on Turbo Codes and Iterative Information Processing (ISTC), Bremen, Germany, 2014
  H. V. Beltrão Neto and W. Henkel
  (See online at https://doi.org/10.1109/ISTC.2014.6955098)
• “Rate-Compatible LDPC and Turbo Codes for Link Adaptivity and Unequal Error Protection”, in: Declercq, Fossorier (Ed.): Elsevier Academic Press Library in Mobile and Wireless Communications: Channel Coding: Theory, Algorithms, and Applications, 2016
  W. Henkel, H. V. Beltrão Neto; A. Ramamoorthy