Global design methods for raptor codes using binary and higher-order modulations

  • Authors:
  • Richard J. Barron;Caleb K. Lo;Jerome M. Shapiro

  • Affiliations:
  • MITRE Corporation;MITRE Corporation;MITRE Corporation

  • Venue:
  • MILCOM'09 Proceedings of the 28th IEEE conference on Military communications
  • Year:
  • 2009

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Abstract

We develop accurate and robust one-dimensional EXIT chart methods to design raptor codes with binary and higher-order modulations on AWGN channels over any desired range of SNRs. We formulate the check-node degree distribution optimization as a linear program that optimizes a suitable objective function ofthe desired operating points. The throughput curves predicted by the analysis are easily compared across different pre-code rates and pre-code error-correcting capabilities. For higher-order modulations we employ BICM on standard Gray-mapped constellations. We further enhance the optimization by applying separate check-node degree distributions to the mapped MSBs and LSBs. Simulated throughput curves using the designed codes for QPSK and 16-QAM modulations on the AWGN channel show marked improvement over previously reported raptor code designs.