Construction of Capacity-Achieving Lattice Codes: Polar Lattices
نویسندگان
چکیده
منابع مشابه
Construction of Capacity-Achieving Lattice Codes: Polar Lattices
In this paper, we propose a new class of lattices constructed from polar codes, namely polar lattices, to achieve the capacity 1 2 log(1+ SNR) of the additive white Gaussian-noise (AWGN) channel for any signal-to-noise ratio (SNR). Our construction follows the multilevel approach of Forney et al., where on each level we construct a capacityachieving polar code. The component polar codes are nat...
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A new proposed method for constructing codes that achieves the symmetric capacity (the capacity of the channel with the same probabilities for the inputs), ( ) I W , of any Binary Discrete Memoryless Channel W (B-DMC) will be introduced in this tutorial. This method is based on channel polarization. Channel polarization is the fact that we can synthesize N channels, ( ) { } :1 i N W i N ≤ ≤ , o...
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We construct concatenated capacity-achieving quantum codes for noisy optical quantum channels. We demonstrate that the error-probability of capacityachieving quantum polar encoding can be reduced by the proposed low-complexity concatenation scheme. OCIS codes: (270.5585); (270.5565).
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Explicit coding schemes are proposed to achieve the rate-distortion function of the Heegard-Berger problem using polar codes. Specifically, a nested polar code construction is employed to achieve the rate-distortion function for the doubly-symmetric binary sources when the side information may be absent. The nested structure contains two optimal polar codes for lossy source coding and channel c...
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The concept and existence of sphere-boundachieving and capacity-achieving lattices has been explained on the AWGN channels by Forney [4]. In this paper we focus on regular LDPC lattices [7]. We introduce and investigate an ensemble of LDPC lattices with known properties. It is shown that these lattices are sphere-bound-achieving and capacityachieving.
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ژورنال
عنوان ژورنال: IEEE Transactions on Communications
سال: 2019
ISSN: 0090-6778,1558-0857
DOI: 10.1109/tcomm.2018.2876113