On pre-transformed polar codes
WebReed 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 … Web4 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 …
On pre-transformed polar codes
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Web13 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 … WebOn pre-transformed polar codes. B Li, H Zhang, J Gu. arXiv preprint arXiv:1912.06359, 2024. 33: 2024: Energy-efficient spectrum-aware clustering for cognitive radio sensor networks. H Zhang, Z Zhang, C Yuen. Chinese Science Bulletin 57 (28-29), 3731-3739, 2012. 31: 2012:
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 … 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 …
WebN and uAc = 0, the codeword of the pre-transformed polar codes is given by xN 1 =uN 1 G N =u N 1 TF N. In original polar codes, the frozen bits are fixed to be zeros. While in … 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 …
Web26 de jun. de 2024 · However, the information length options of RM codes are quite limited due to their specific structure. In 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.
Web24 de fev. de 2024 · Pre-transformation with an upper-triangular matrix (including cyclic redundancy check (CRC), parity-check (PC) and polarization-adjusted convolutional … the tell tale heart wordsWeb16 de dez. de 2024 · On Pre-transformed Polar Codes In this paper, we prove that any pre-transformation with an upper-triang... 0 Bin Li, et al. ∙. share ... servery lineWeb25 de fev. de 2024 · Polar 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 … the telltale lilac bush pdfWebTABLE 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 … servery lightingWebLemma 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 … servery mc ipWebIn 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 … the tell tale heart あらすじ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. … servery non premium cave wars