Instruct: Identify the main and secondary category of Arxiv papers based on the titles and abstracts
Query: Polar Codes with Memory   Polar codes with memory (PCM) are proposed in this paper: a pair of
consecutive code blocks containing a controlled number of mutual information
bits. The shared mutual information bits of the succeeded block can help the
failed block to recover. The underlying polar codes can employ any decoding
scheme such as the successive cancellation (SC) decoding (PCM-SC), the belief
propagation (BP) decoding (PCM-BP), and the successive cancellation list (SCL)
decoding (PCM-SCL). The analysis shows that the packet error rate (PER) of PCM
decreases to the order of PER squared while maintaining the same complexity as
the underlying polar codes. Simulation results indicate that for PCM-SC, the
PER is comparable to (less than 0.3 dB) the stand-alone SCL decoding with two
lists for the block length $N=256$. The PER of PCM-SCL with $L$ lists can match
that of the stand-alone SCL decoding with $2L$ lists. Two hardware decoders for
PCM are also implemented: the in-serial (IS) decoder and the low-latency
interleaved (LLI) decoder. For $N=256$, synthesis results show that in the
worst case, the latency of the PCM LLI decoder is only $16.1\%$ of the adaptive
SCL decoder with $L=2$, while the throughput is improved by 13 times compared
to it.

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The categories of this paper are: nucl-th
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The categories of this paper are: chao-dyn
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The categories of this paper are: cmp-lg
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The categories of this paper are: q-alg
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The categories of this paper are: nucl-ex
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The categories of this paper are: atom-ph
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The categories of this paper are: stat
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The categories of this paper are: bayes-an
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The categories of this paper are: q-fin
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The categories of this paper are: physics
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The categories of this paper are: hep-ex
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The categories of this paper are: q-bio
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The categories of this paper are: econ
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The categories of this paper are: dg-ga
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The categories of this paper are: hep-lat
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The categories of this paper are: acc-phys