Design Of Polar Code Lattices Of Finite Dimension
2021 IEEE INTERNATIONAL SYMPOSIUM ON INFORMATION THEORY (ISIT)(2021)
摘要
Polar code lattices are formed from binary polar codes using Construction D. In this paper, we propose a design technique for finite-dimension polar code lattices. The dimension n and target probability of decoding error are parameters for this design. To select the rates of the Construction D component codes, rather than using the capacity as in past work, we use the explicit finite-length properties of the polar code. Under successive cancellation decoding, density evolution allows choosing code rates that satisfy the equal error probability rule. At an error-rate of 10(-4) , a dimension n = 128 polar code lattice achieves a VNR of 2.5 dB, within 0.2 dB of the best-known BCH code lattice, but with significantly lower decoding complexity.
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关键词
finite dimension,binary polar codes,finite-dimension polar code lattices,Construction D component codes,code rates,BCH code lattice
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