On pre-transformed polar codes
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 …
On pre-transformed polar codes
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WebTABLE II. 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 … 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 …
Web12 de jul. de 2024 · At small block lengths, a novel pre-transformed polar coding method named PAC codes significantly outperforms conventional polar codes by benefiting … WebBibliographic details on On Pre-transformed Polar Codes. DOI: — access: open type: Informal or Other Publication metadata version: 2024-01-02
Web3 de set. de 2024 · On the Equivalence between Pre-transformed and Parity-check Monomial Codes Abstract: Polar codes and Reed-Muller codes belong to a family of … 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 …
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 …
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 … dark smokey eye tutorial for blue eyesWebPolar 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 … dark snake with diamond pattern floridaWeb25 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 … bishops lodge hills and villasWeb13 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), … dark snickers discontinuedWeb20 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. bishops lodge hotelWebthan 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 … dark smokey eye for brown eyesWebApr., 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. darksnow audio