Recently, Ar{\\i}kan introduced the method of channel polarization on which one can construct efficient capacity-achieving codes, called polar codes, for a... R Mori 被引量: 22发表: 2010年 Channel Polarization and Polar Codes Polar coding is a new technique introduced by Arkan [1] based ...
The asymptotic error correction performance is measured in terms of the, so-called, polar coding exponent. The kernels are designed using the notion of code decompositions (a.k.a. code nestings) and they are in general non-linear. We develop new upper-bounds on the maximum exponent per the...
A polar coding scheme is proposed for reliable communication over channels with bit-interleaved coded modulation (BICM). In an ideal information-theoretic model, BICM schemes are modeled as a set of multiple binary-input channels that experience different reliabilities. This model is referred to as ...
Polar coding is a recently proposed coding technique that can provably achieve the channel capacity. The polar code structure, which is based on the original 2 脳 2 generator matrix, polarises the channels, that is, a portion of the channel capacities approach 1, whereas the remaining channel ...
We explore the relationship between polar and RM codes and we describe a coding scheme which improves upon the performance of the standard polar code at practical block lengths. Our starting point is the experimental observation that RM codes have a smaller error probability than polar codes under...
We further show that, in the special case of symmetric main and eavesdropper channels, this coding technique achieves the secrecy capacity. This approach is also extended to the multiple-access channel with a degraded eavesdropper where a nontrivial achievable secrecy region is established. This ...
This result leads to a direct method of polar modulation (Figure 3). Instead of coding the information to be transmitted into rectangular form, you can apply it in polar form. One advantage of this technique is that it requires only one multiplier. ...
1.2 Originality and contribution Distinguished from existing error-correcting schemes for RLWE-based PKE in the litera- ture, the originality of the proposed polar coding scheme is threefold. 1. Firstly, we take advantage of the fact that the secret s and e in the residue noise e ⋅...
The selection of polar codes as the channel coding technique for control channels for 5G NR communications system has proven the merits of Arikan's discovery and will establish their application in commercial systems. Based on the concept of channel polarization, this new coding family is capacity ...
This example highlights the new polar channel coding technique chosen for 5G New Radio (NR) communications system. Of the two main types of code constructions specified by 3GPP, this example models the CRC-Aided Polar (CA-Polar) coding scheme. This example describes the main components of the ...