Composite Scheme LR + Th for Decoding with Erasures and Its Effective Equivalence to Forney's Rule

@article{Hashimoto1999CompositeSL,
  title={Composite Scheme LR + Th for Decoding with Erasures and Its Effective Equivalence to Forney's Rule},
  author={Takeshi Hashimoto},
  journal={IEEE Trans. Information Theory},
  year={1999},
  volume={45},
  pages={78-93}
}
For decoding with erasures, Forney’s scheme is known to be optimal in the sense that no other scheme can make the erasure probability Pers and undetected error probability Puer simultaneously smaller. We propose a scheme for erasure decision which tests the likelihood ratio as well as the likelihood itself and show that the attainable upper bounds onPers and Puer are the same as those proved for the optimal scheme up to a constant factor. We also show that the scheme gives, when applied to… CONTINUE READING
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