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Coding on Dual-Parameter Barrier Channels
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DOI：10.1109/TIT.2025.3613452.png)
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Abstract
En 中文
This paper studies coding on channels with the barrier property: only errors to and from a special barrier symbol are possible. This model is motivated by information systems that have heterogeneous symbol structure, not admitting the usual multi-bit scaling principle of representation levels. This work is the first that addresses a barrier channel with separate parameters for the transitions into and out of the barrier symbol. Earlier work addressed special-case single-parameter models, and focused primarily on the worst-case coding performance. Our contributions for the general dual-parameter model include derivation of the channel capacity, guaranteed-correction conditions and code-size bounds, a code construction method, and several decoders that correct beyond the guaranteed worst-case capability. A key structural feature of our construction method enables reduction of the decoding problem to a cooperation between two decoders for codes in the Hamming metric.
Keywords:
Codes
Symbols
Encoding
Channel capacity
Probabilistic logic
Maximum likelihood decoding
Lower bound
Training
Next generation networking
Entropy
Channel models
channel coding
channel capacity
error correction codes
lower bound
upper bound
decoding
maximum likelihood decoding
Journal
I
IF:
2.9
Papers:
317
Citations:
0