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  1. Low-density parity-check (LDPC) codes are a class of highly efficient linear block codes made from many single parity check (SPC) codes. They can provide performance very close to the channel capacity (the theoretical maximum) using an iterated soft-decision decoding approach, at linear time complexity in terms of their block length.

    • Linear Code

      Codes in general are often denoted by the letter C, and a...

  2. A checksum of a message is a modular arithmetic sum of message code words of a fixed word length (e.g., byte values). The sum may be negated by means of a ones'-complement operation prior to transmission to detect unintentional all-zero messages.

  3. In certain cases, the receiver can correct the error, without the need for a retransmission. How it works [ change | change source ] FEC adds redundancy to the transmitted information with a known algorithm .

  4. Jan 8, 2020 · Parity can detect when a single bit is in error, but it cannot determine which bit is wrong. Also, parity cannot detect errors in multiple bits. If two bits, 4 bits, or 6 bits are in error, the parity will indicate that the data is correct. FEC Limitations [edit | edit source]

  5. The first element of a CIRC decoder is a relatively weak inner (32,28) Reed–Solomon code, shortened from a (255,251) code with 8-bit symbols. This code can correct up to 2 byte errors per 32-byte block. More importantly, it flags as erasures any uncorrectable blocks, i.e., blocks with more than 2 byte errors.

  6. where p(y|A) is the conditional probability of getting y at the receiver when the input is A, and p(y) is the probability of receiving y.Similar to the case with HD, for a given FEC code rate R=C SD, we can calculate BER in, from which we can then calculate the NCG for a given modulation format at a given reference BER out.

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  8. 🗂️ Page Index for this GitHub Wiki. ℹ️ About GitHub Wiki SEE, a search engine enabler for GitHub Wikis as GitHub blocks most GitHub Wikis from search engines. About

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