Capacity-approaching protograph codes

  • Authors:
  • Dariush Divsalar;Sam Dolinar;Christopher R. Jones;Kenneth Andrews

  • Affiliations:
  • Jet Propulsion Laboratory, California Institute of Technology, Pasadena, CA;Jet Propulsion Laboratory, California Institute of Technology, Pasadena, CA;Jet Propulsion Laboratory, California Institute of Technology, Pasadena, CA;Jet Propulsion Laboratory, California Institute of Technology, Pasadena, CA

  • Venue:
  • IEEE Journal on Selected Areas in Communications - Special issue on capaciyy approaching codes
  • Year:
  • 2009

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Abstract

This paper discusses construction of protograph-based low-density parity-check (LDPC) codes. Emphasis is placed on protograph ensembles whose typical minimum distance grows linearly with block size. Asymptotic performance analysis for both weight enumeration and iterative decoding threshold determination is provided and applied to a series of code constructions. Construction techniques that yield both low thresholds and linear minimum distance growth are introduced by way of example throughout. The paper also examines implementation strategies for high throughput decoding derived from first principles of belief propagation on bipartite graphs.