On pre-transformed polar codes
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 … 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 …
On pre-transformed polar codes
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Web25 de fev. de 2024 · On the Weight Spectrum of Pre-Transformed Polar Codes Yuan Li, Huazi Zhang, Rong Li, Jun Wang, Guiying Yan, Zhiming Ma Polar codes are the first … Web25 de ago. de 2024 · Abstract: 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 properly designed pre-transformation can reduce the number of codewords with the minimum …
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 …
Web20 de jul. de 2024 · Pre-transformation with an upper-triangular matrix (including cyclic redundancy check (CRC), parity-check (PC) and polarization-adjusted convolutional (PAC) codes), improves weight spectrum while retaining polarization. In this paper, the weight spectrum of upper-triangular pre-transformed polar codes is mathematically analyzed. WebAlthough long polar codes with successive cancellation decoding can asymptotically achieve channel capacity, the performance of short blocklength polar codes is far from optimal. Recently, Arıkan proposed employing a convolutional pre-transformation before the polarization network, called polarization-adjusted convolutional (PAC) codes. …
WebBibliographic details on On Pre-transformed Polar Codes. DOI: — access: open type: Informal or Other Publication metadata version: 2024-01-02
Web9 de fev. de 2024 · Reed 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 … christopher columbus slave traderWebTABLE IV. 𝑁𝑚𝑖𝑛(𝑈 × 𝑇 × 𝐻𝑁) for Different Ts. - "On Pre-transformed Polar Codes" Skip to search form Skip to main content Skip to account menu. Semantic Scholar's Logo. Search … getting hair extensions with short hairWeb13 de dez. de 2024 · This explains that the pre-transformed polar codes can perform better than the Polar/RM codes. It is proved that any pre-transformation with an upper … getting hair extensions downWeb25 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 … getting hair relaxed while pregnantWeb15 de abr. de 2024 · task dataset model metric name metric value global rank remove getting hair oil off a microfiber couchWeb4 de abr. de 2024 · Corpus ID: 257921286. Minimum Distance of PAC Codes v. Polar Codes Using Cyclic Shift Matrices. Mohsen Moradi. Published 4 April 2024. Computer Science. The polarization-adjusted convolutional (PAC) codes are a new family of linear codes that can perform close to the theoretical bounds. These codes make use of both … getting hair healthy againWeb13 de dez. de 2024 · 摘要: 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 properly designed pre-transformation can reduce the number of codewords with the minimum … getting hair out of auto carpets