On pre-transformed polar codes
Web13 de dez. de 2024 · In this paper, we prove that any pre-transformation with an upper-triangular matrix (including cyclic redundancy check (CRC), parity-check (PC) and … Web25 de fev. de 2024 · On Pre-transformed Polar Codes B. Li, Huazi Zhang, Jiaqi Gu Computer Science ArXiv 2024 In this paper, we prove that any pre-transformation with …
On pre-transformed polar codes
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WebIn this work, we present sufficient conditions to increase the information length by at least one bit for some underlying RM codes and in order to obtain pre-transformed polar-like codes with the same minimum distance than lower rate codes.The proofs give a constructive method to choose the row triples to be merged together to increase the … Web13 de dez. de 2024 · On Pre-transformed Polar Codes. 13 Dec 2024 · Li Bin , Zhang Huazi , Gu Jiaqi ·. Edit social preview. In this paper, we prove that any pre-transformation with an upper-triangular matrix (including cyclic redundancy check (CRC), parity-check (PC) and convolution code (CC) matrix) does not reduce the code minimum distance and an …
Web25 de fev. de 2024 · encoding and decoding algorithms. But the weight spectrum of Polar codes is relatively poor compared to RM codes, which degrades their ML performance. … Web10 de jul. de 2024 · It was shown in that a properly designed pre-transformation such as convolutional transform can improve the distance properties of polar codes. Fig. 1: PAC Coding Scheme In [ 5 ] , we studied the implementation of tree search algorithms including the conventional list decoding and complexity-efficient Fano decoding for PAC codes.
WebPolar codes are the first class of channel codes achieving the symmetric capacity of the binary-input discrete memoryless channels with efficient encoding and decoding algorithms. But the weight spectrum of Polar codes is relatively poor compared to RM codes, which degrades their ML performance. Pre-transformation with an upper-triangular matrix … WebIn this paper, we prove that any pre-transformation with an upper-triangular matrix (including cyclic redundancy check (CRC), parity-check (PC) and convolution code (CC) matrix) does not reduce the code minimum distance and an properly designed pre-transformation can reduce the number of codewords with the minimum distance. This explains that the pre …
Webthan RM (128,64) code. In this paper, we show that pre-transformed polar codes have better distance spectrum It is easy to verify thatthan Polar/RM codes in terms of the …
Web8 de ago. de 2024 · In sequential decoding of convolutional codes, the computational cutoff rate denotes the region between rates whose average computational complexity of decoding is finite and those which is infinite. In this paper, by benefiting from the polarization and guessing techniques, we prove that the computational cutoff rate in sequential decoding … how do you spell hallWeb13 de dez. de 2024 · On Pre-transformed Polar Codes. In this paper, we prove that any pre-transformation with an upper-triangular matrix (including cyclic redundancy check (CRC), … phone that slides up and sidewaysWebLemma 1. RM codes and polar codes are monomial codes. D. Pre-transformed Monomial Codes Given length N monomial code C, we can transform the code via a binary pre-transformation (PT) matrix T [9], where C T:= fc0= uTH N: u j = 0 if j =2Ig is the pre-transformed code by T. Generally, a PT matrix should satisfy two properties: (i) T is … phone that plugs into routerWeb極化碼（英語： Polar code ）是一種前向錯誤更正編碼方式，用於訊號傳輸。. 構造的核心是通過信道極化（ channel polarization ）處理，在編碼側採用方法使各個子信道呈現出不同的可靠性，當碼長持續增加時，部分信道將趨向於容量近於1的完美信道（無誤碼），另一部分信道趨向於容量接近於0的純 ... how do you spell halloween costumeWebReed Muller (RM) codes are known for their good minimum distance. One can use their structure to construct polar-like codes with good distance properties by choosing the information set as the rows of the polarization matrix with the highest Hamming weight, instead of the most reliable synthetic channels. However, the information length options … phone that records conversationsWebList Decoding of Polar Codes: How Large Should the List Be to Achieve ML Decoding? Pages 1594–1599. Previous Chapter Next Chapter. ... “ On pre-transformed polar codes,” arXiv preprint arXiv: 1912.06359, December 2024. Google Scholar [10]. Mondelli M., Hassani S. H., and Urbanke R. L., ... how do you spell haleys cometWebApr., 2024 - An Information-Theoretic Perspective on Successive Cancellation List Decoding and Polar Code Design accepted at IEEE TIT. Mar., 2024 - Humbled to be recognized as an Exemplary Reviewer by IEEE TCOM. Dec., 2024 - Successive Cancellation Ordered Search Decoding of Modified -Coset Codes submitted to IEEE TCOM. phone that runs windows