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• W2951027593 abstract "We consider the problem of determining the trade-off between the rate and the block-length of polar codes for a given block error probability when we use the successive cancellation decoder. We take the sum of the Bhattacharyya parameters as a proxy for the block error probability, and show that there exists a universal parameter $mu$ such that for any binary memoryless symmetric channel $W$ with capacity $I(W)$, reliable communication requires rates that satisfy $R< I(W)-alpha N^{-frac{1}{mu}}$, where $alpha$ is a positive constant and $N$ is the block-length. We provide lower bounds on $mu$, namely $mu geq 3.553$, and we conjecture that indeed $mu=3.627$, the parameter for the binary erasure channel." @default.
• W2951027593 created "2019-06-27" @default.
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• W2951027593 date "2012-05-13" @default.
• W2951027593 modified "2023-10-01" @default.
• W2951027593 title "Universal Bounds on the Scaling Behavior of Polar Codes" @default.
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