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  2. Error correction code - Wikipedia

    en.wikipedia.org/wiki/Error_correction_code

    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.

  3. Error analysis (mathematics) - Wikipedia

    en.wikipedia.org/wiki/Error_analysis_(mathematics)

    The analysis of errors computed using the global positioning system is important for understanding how GPS works, and for knowing what magnitude errors should be expected. The Global Positioning System makes corrections for receiver clock errors and other effects but there are still residual errors which are not corrected.

  4. Linear code - Wikipedia

    en.wikipedia.org/wiki/Linear_code

    The codewords in a linear block code are blocks of symbols that are encoded using more symbols than the original value to be sent. [2] A linear code of length n transmits blocks containing n symbols. For example, the [7,4,3] Hamming code is a linear binary code which represents 4-bit messages using 7-bit codewords. Two distinct codewords differ ...

  5. Automatic differentiation - Wikipedia

    en.wikipedia.org/wiki/Automatic_differentiation

    Reverse accumulation is more efficient than forward accumulation for functions f : R n → R m with n ≫ m as only m sweeps are necessary, compared to n sweeps for forward accumulation. Backpropagation of errors in multilayer perceptrons, a technique used in machine learning , is a special case of reverse accumulation.

  6. BCJR algorithm - Wikipedia

    en.wikipedia.org/wiki/BCJR_algorithm

    Compute forward probabilities ; Compute backward probabilities ; Compute smoothed probabilities based on other information (i.e. noise variance for AWGN, bit crossover probability for binary symmetric channel)

  7. Erasure code - Wikipedia

    en.wikipedia.org/wiki/Erasure_code

    Parity check is the special case where n = k + 1.From a set of k values {}, a checksum is computed and appended to the k source values: + = =. The set of k + 1 values {} + is now consistent with regard to the checksum.

  8. Numerical stability - Wikipedia

    en.wikipedia.org/wiki/Numerical_stability

    Computing the square root of 2 (which is roughly 1.41421) is a well-posed problem.Many algorithms solve this problem by starting with an initial approximation x 0 to , for instance x 0 = 1.4, and then computing improved guesses x 1, x 2, etc.

  9. File:Forward and backward error.svg - Wikipedia

    en.wikipedia.org/wiki/File:Forward_and_backward...

    The following other wikis use this file: Usage on eo.wikipedia.org Cifereca stabileco; Usage on ja.wikipedia.org 数値的安定性; Usage on ru.wikipedia.org