The Manifestation of Stopping Sets and Absorbing Sets as Deviations on the Computation Trees of LDPC Codes
Abstract
The error mechanisms of iterative message-passing decoders for low-density parity-check codes are studied. A tutorial review is given of the various graphical structures, including trapping sets, stopping sets, and absorbing sets that are frequently used to characterize the errors observed in simulations of iterative decoding of low-density parity-check codes. The connections between trapping sets and deviations on computation trees are explored in depth using the notion ofproblematictrapping sets in order to bridge the experimental and analytic approaches to these error mechanisms. A new iterative algorithm for finding low-weight problematic trapping sets is presented and shown to be capable of identifying many trapping sets that are frequently observed during iterative decoding of low-density parity-check codes on the additive white Gaussian noise channel. Finally, a new method is given for characterizing the weight of deviations that result from problematic trapping sets.
Document Details
- Document Type
- Pub Defense Publication
- Publication Date
- Jan 01, 2010
- Source ID
- 10.1155/2010/432495
Entities
People
- Eric Psota
- Lance C. Pérez
Organizations
- Air Force Office of Scientific Research
- University of Nebraska–Lincoln