genpark-ldpc-tanner-graph-belief-propagation-skill
mcp
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Low-Density Parity-Check (LDPC) Tanner graph belief propagation decoder with sum-product LLR message passing
README.md
genpark-ldpc-tanner-graph-belief-propagation-skill
Agent Skill implementing Low-Density Parity-Check (LDPC) Tanner Graph Belief Propagation, using iterative sum-product Log-Likelihood Ratio (LLR) message passing between variable and check nodes.
Architectural Overview
flowchart TD
LLR["Initial Channel LLRs"] --> VtoC["Variable-to-Check Messages"]
VtoC --> Check["Check Node Updates: Tanh Product Rule"]
Check --> CtoV["Check-to-Variable Messages"]
CtoV --> Total["Accumulate Total Marginal LLRs"]
Total --> Hard["Hard Decision: Bit = (LLR < 0 ? 1 : 0)"]
Hard --> SynCheck{"H * x == 0 ?"}
SynCheck -- Yes --> Converged["Valid Codeword Recovered"]
SynCheck -- No --> Loop["Next Iteration"]
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