Sentence examples for a valid codeword from inspiring English sources

If the syndrome is zero, a valid codeword is obtained and the decoder concludes the decoding.

The ML decoding projects the received signal to a valid codeword with minimum Euclidean distance.

This procedure is carried out iteratively until a valid codeword is created or a predefined number of iterations are met.

Moreover, in order to reduce the complexity, the algorithm in [8] considers only a subset of the possible combinations of symbol vectors with n symbols, during the process of searching for a valid codeword.

The standard iterative non-binary LDPC symbol flipping decoding algorithm consists of three steps: initialization, flipped symbol position selection, and flipped symbol value selection, where the latter two steps are iteratively run until a valid codeword is found [5].

On the other hand, the hard decision-based bit flipping (BF) algorithm [2], which searches heuristically for a valid codeword in the multidimensional codeword space, is the simplest and most computationally efficient decoding algorithm.

A detected error occurs when the decoder reaches the maximum number of iterations without converging to any valid codeword.

More precisely, the hybrid approach consists of performing low-complexity decoding through an IA, at first, and invoking the MRB algorithm only when the IA is not able to find any valid codeword (detected error).

y n = r ^ n, 1 - r ^ n, 2 ≥ Δ, (5). as a logic variable, is used to indicate whether a codeword is a valid MC codeword or not, where each envelope sample is represented by multiple bits after quantization in times of SoftDec.

where ∝ means equal within a normalization factor, and the summation is over all valid codewords with c m equal to α. Making use of the finite-state description of the encoder, the APPs (12) can be computed efficiently for m = 1,⋯,K by means of the BCJR algorithm [4].

When the four bits associated with the solid circles flip altogether, another valid codeword results, and the decoder is unable to tell (undetectable error).