Table 1 Symbol definition
From: Enhanced belief propagation decoding of polar codes by adapting the parity-check matrix
Symbol | Meaning |
|---|---|
\(\boldsymbol {\hat {u}}\) | The decision source block |
\(\boldsymbol {\hat {x}}\) | The decision codeword |
M BP | The predefined number of BP iterations |
M AP | The predefined number of matrix adaptation |
H | The parity check matrix |
H ′ | The adjusted parity-check matrix |
B | The index set of the N−K least reliable bits in γ |
γ | The initial LLRs set of N coded bits |
γ ′ | The new LLRs set of N coded bits |
η | The damping factor |
Min|LLR| | The minimum absolute value of LLRs for γ ′ |
β | a positive real number |
BPresult | The returned value of function BP() |
C AP | The average number of matrix adaptation |
C BP | The average number of iterations that BP() used |
W R | The average row weight |
W C | The average column weight |