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Most existing works of polar codes focus on the analysis of block error probability. However, in many scenarios, bit error probability is also important for evaluating the performance of channel codes. In this paper, we establish a new…

信息论 · 计算机科学 2022-04-18 Bolin Wu , Kai Niu , Jincheng Dai

A concatenated coding scheme over binary memoryless symmetric (BMS) channels using a polarization transformation followed by outer sub-codes is analyzed. Achievable error exponents and upper bounds on the error rate are derived. The first…

信息论 · 计算机科学 2017-10-24 Dina Goldin , David Burshtein

We present a method based on Mueller calculus to calibrate linear polarimetric observations. The key advantages of the proposed way of calibration are: (1) that it can be implemented in a data reduction pipeline, (2) that it is possible to…

天体物理学 · 物理学 2009-11-13 Franco Joos , Esther Buenzli , Hans Martin Schmid , Christian Thalmann

We present POLAR, a polynomial arithmetic-based framework for efficient bounded-time reachability analysis of neural-network controlled systems (NNCSs). Existing approaches that leverage the standard Taylor Model (TM) arithmetic for…

系统与控制 · 电气工程与系统科学 2022-12-27 Chao Huang , Jiameng Fan , Zhilu Wang , Yixuan Wang , Weichao Zhou , Jiajun Li , Xin Chen , Wenchao Li , Qi Zhu

Systematic polar codes are shown to outperform non-systematic polar codes in terms of the bit-error-rate (BER) performance. However theoretically the mechanism behind the better performance of systematic polar codes is not yet clear. In…

信息论 · 计算机科学 2015-04-17 Liping Li , Wenyi Zhang , Yanjun Hu

Polar codes are the first class of constructive channel codes achieving the symmetric capacity of the binary-input discrete memoryless channels. But the analysis and construction of polar codes involve the complex iterative-calculation. In…

信息论 · 计算机科学 2019-11-26 Kai Niu , Yan Li , Weiling Wu

The weighted-Hamming metric generalizes the Hamming metric by assigning different weights to blocks of coordinates. It is well-suited for applications such as coding over independent parallel channels, each of which has a different level of…

信息论 · 计算机科学 2026-01-21 Sebastian Bitzer , Alberto Ravagnani , Violetta Weger

Semiparametric forecasting and filtering are introduced as a method of addressing model errors arising from unresolved physical phenomena. While traditional parametric models are able to learn high-dimensional systems from small data sets,…

统计方法学 · 统计学 2016-02-17 Tyrus Berry , John Harlim

A framework is proposed that allows for a joint description and optimization of both binary polar coding and $2^m$-ary digital pulse-amplitude modulation (PAM) schemes such as multilevel coding (MLC) and bit-interleaved coded modulation…

信息论 · 计算机科学 2013-02-13 Mathis Seidl , Andreas Schenk , Clemens Stierstorfer , Johannes B. Huber

A standard procedure to achieve accurate, precise, and fast polarization measurement is to choose analyzing and generating polarization states that yield an $\ell^2$-condition number optimized instrument matrix. This strategy works well for…

光学 · 物理学 2025-12-30 Yuxi Cai , An Aloysius Wang , Chao He

A capacity-achieving scheme based on polar codes is proposed for reliable communication over multi-channels which can be directly applied to bit-interleaved coded modulation schemes. We start by reviewing the ground-breaking work of polar…

信息论 · 计算机科学 2013-02-04 Hessam Mahdavifar , Mostafa El-Khamy , Jungwon Lee , Inyup Kang

Pulse position modulation (PPM) is a popular signal modulation technique which creates M-ary data by means of the position of a pulse within a time interval. While PPM and its variations have great advantages in many contexts, this type of…

信息论 · 计算机科学 2013-08-20 Yuichiro Fujiwara

We present a novel system to calibrate millimeter-wave polarimeters for CMB polarization measurements. This technique is an extension of the conventional metal mirror rotation approach, however it employs cryogenically-cooled blackbody…

天体物理仪器与方法 · 物理学 2012-05-01 M. Hasegawa , O. Tajima , Y. Chinone , M. Hazumi , K. Ishidoshiro , M. Nagai

We address the problem of calibrating a polarimetric backscattering setup that includes a beamsplitter, taking its optical properties into account. Using Fisher information, we justify a specific calibration configuration involving…

光学 · 物理学 2025-05-29 V. Stefanov , B. P. Singh , A. Stefanov

Polar codes are the first error-correcting codes to provably achieve the channel capacity but with infinite codelengths. For finite codelengths the existing decoder architectures are limited in working frequency by the partial sums…

硬件体系结构 · 计算机科学 2015-01-12 Guillaume Berhault , Camille Leroux , Christophe Jego , Dominique Dallet

We present the PolEMICA [Aumont & Macias-Perez 2007] (Polarized Expectation-Maximization Independent Component Analysis) algorithm which is an extension to polarization of the SMICA [Delabrouille et al. 2003] temperature component…

天体物理学 · 物理学 2007-05-23 J. Aumont

Pulsar timing is used for a variety of applications including tests of fundamental physics, probing the structure of neutron stars, and detecting nanohertz gravitational waves. Development of robust methods and generation of high-quality…

Recently, a new class of error-control codes, the polar codes, have attracted much attention. The polar codes are the first known class of capacity-achieving codes for many important communication channels. In addition, polar codes have…

信息论 · 计算机科学 2012-11-19 Xudong Ma

A new method is presented for modeling the transformation between two polarimetric pulse profiles in the Fourier domain. In practice, one is a well-determined standard with high signal-to-noise ratio and the other is an observation that is…

天体物理学 · 物理学 2007-05-23 Willem van Straten

Channel polarization is a method of constructing capacity achieving codes for symmetric binary-input discrete memoryless channels (B-DMCs) [1]. In the original paper, the construction complexity is exponential in the blocklength. In this…

信息论 · 计算机科学 2009-05-23 Ryuhei Mori , Toshiyuki Tanaka
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