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Neural Polar Decoders (NPDs) [14] are an advancement in channel coding that combine neural networks (NNs) with polar codes, providing unified decoding for channels with or without memory, without requiring an explicit channel model. They use four neural networks to approximate the functions of polar decoding: the embedding (E) NN, the check ...
Arıkan developed polar codes, a system of coding that provides a mathematical basis for the solution of Shannon's channel capacity problem. [5] He presented a three-session lecture on the polar codes at Simons Institute's Information Theory Boot Camp at the University of California, Berkeley.
Practical implementations rely heavily on decoding the constituent SPC codes in parallel. LDPC codes were first introduced by Robert G. Gallager in his PhD thesis in 1960, but due to the computational effort in implementing encoder and decoder and the introduction of Reed–Solomon codes, they were mostly ignored until the 1990s.
The Reed–Muller RM(r, m) code of order r and length N = 2 m is the code generated by v 0 and the wedge products of up to r of the v i, 1 ≤ i ≤ m (where by convention a wedge product of fewer than one vector is the identity for the operation).
All loops must have fixed bounds. This prevents runaway code. Avoid heap memory allocation. Restrict functions to a single printed page. Use a minimum of two runtime assertions per function. Restrict the scope of data to the smallest possible. Check the return value of all non-void functions, or cast to void to indicate the return value is useless.
Polar code may refer to: International Code for Ships Operating in Polar Waters, an international code of safety for ships operating in polar waters;
Tomita's key discovery concerned the remarkable properties of the closure of the operator ♯ and its polar decomposition. If S denotes this closure (a conjugate-linear unbounded operator), let Δ = S* S, a positive unbounded operator. Let S = J Δ 1/2 denote its polar decomposition. Then J is a conjugate-linear isometry satisfying [4]
Kaj Antero Riska (born January 25, 1953, Helsinki, Finland) [citation needed] is a naval architect and engineer with expertise in ice and arctic technology. He has written various publications about ice-going ships and icebreaker design, ice loads and ice management for arctic offshore floating platforms.