Global Design Methods for Raptor Codes Using Binary and Higher-Order Modulations

Abstract

We develop accurate and robust one-dimensional EXIT chart methods to design Raptor codes with binary and higher-order modulations on AWGN channels. We formulate the check-node degree distribution optimization as a linear program that directly accounts for the pre-code error correction capability and simultaneously optimizes over any desired range of rate 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 a standard Gray-mapped 16-QAM constellation. We further enhance the optimization by applying separate check-node degree distributions to the mapped MSBs and LSBs, which results in significant gains compared to a single check-node degree distribution.

Open PDF

Document Details

Document Type
Technical Report
Publication Date
Jan 01, 2008
Accession Number
AD1108319

Entities

People

  • Caleb K. Lo
  • Jerome M. Shapiro
  • Richard J. Barron

Organizations

  • MITRE Corporation

Tags

Communities of Interest

  • C4I
  • Materials and Manufacturing Processes

DTIC Thesaurus Topics

  • Algorithms
  • Coders
  • Coding
  • Computer Programming
  • Constellations
  • Corporations
  • Decoders
  • Decoding
  • Errors
  • Information Processing
  • Information Science
  • Information Transfer
  • Linear Programming
  • Modulation
  • Networks
  • Notation
  • Optimization
  • Personal Information Managers
  • Polynomials
  • Probability
  • Processing Equipment
  • Sensor Networks
  • Simulations
  • Standards
  • Throughput

Fields of Study

  • Physics

Readers

  • Computational Modeling and Simulation
  • Housing Policy Studies in Military Families with Privatization and Telomerase Allowance Units, Multi-Family Housing, and Telomere Lengths.
  • Radio communications and signal processing.