The complexity of designing polar codes via an exact evaluation of the polarized channels to find which ones are “good” appears to be exponential in the block length. In [3], Tal and Vardy show that if instead the evaluation if performed approximately, the construction has only linear complexity.
Sep 20, 2012 · Abstract—We consider the problem of efficiently constructing polar codes over binary memoryless symmetric (BMS) channels.
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Current deterministic algorithms for the construction of polar codes cannot be argued to be practical for channels with input alphabets of moderate size.
Jul 7, 2020 · This paper investigates some methods for the construction of polar codes under PLC systems in the presence of Middleton class-A noise. We ...
Polar codes are a family of capacity-achieving codes that have explicit and low-complexity construction, encoding, and decoding algorithms. Decoding of polar ...
[PDF] On the construction of polar codes - Semantic Scholar
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This paper provides numerical and analytical results on the efficiency of polar codes construction and shows that one can find all the “good” channels with ...
Nov 8, 2020 · Now we come to polar coding. In code construction stage, we use channel polarization to figure out which bits to freeze. Then when the code is ...
In this thesis, we address two problems which are important for implementing polar codes in practice: 1. Construction of Polar Codes: Since the output alphabet ...
The code construction is based on a multiple recursive concatenation of a short kernel code which transforms the physical channel into virtual outer channels.
The field of polar coding is an active field of research, and one of its main topics is the code construction. The construction of polar codes involves finding ...