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In this work, we address the low-complexity construction of shortened and punctured polar codes from a unified view. While several independent puncturing and shortening designs were attempted in the literature, our goal is a unique,…

信息论 · 计算机科学 2017-01-24 Valerio Bioglio , Frederic Gabry , Ingmar Land

The structure of polar codes inherently requires block lengths to be powers of two. In this paper, we investigate how different block lengths can be realized by coupling of several short-length polar codes. For this, we first analyze "code…

信息论 · 计算机科学 2016-11-14 A. Elkelesh , M. Ebada , S. Cammerer , S. ten Brink

It is known that polar codes can be efficiently constructed for binary-input channels. At the same time, existing algorithms for general input alphabets are less practical because of high complexity. We address the construction problem for…

信息论 · 计算机科学 2017-10-03 Talha Cihad Gulcu , Min Ye , Alexander Barg

The incomplete sampling of data in complex polarization measurements from radio telescopes negatively affects both the rotation measure (RM) transfer function and the Faraday depth spectra derived from these data. Such gaps in polarization…

天体物理仪器与方法 · 物理学 2021-02-24 S. W. Ndiritu , A. M. M. Scaife , D. L. Tabb , M. Carcamo , J. Hanson

-We develop a polar coding scheme for empirical coordination in a two-node network with a noisy link in which the input and output signals have to be coordinated with the source and the reconstruction. In the case of non-causal encoding and…

信息论 · 计算机科学 2016-09-22 Giulia Cervia , Laura Luzzi , Matthieu Bloch , Maël Le Treust

Although power line communication (PLC) systems are available everywhere, unfortunately these systems are not suitable for information transmission due to the effects of the impulsive noise. Therefore, many previous studies on channel codes…

信号处理 · 电气工程与系统科学 2020-07-08 Ammar Hadi , Emad Alsusa , Khaled M. Rabie

We propose a generalized construction for binary polar codes based on mixing multiple kernels of different sizes in order to construct polar codes of block lengths that are not only powers of integers. This results in a multi kernel polar…

信息论 · 计算机科学 2017-03-13 Frederic Gabry , Valerio Bioglio , Ingmar Land , Jean-Claude Belfiore

Polar codes are recursive general concatenated codes. This property motivates a recursive formalization of the known decoding algorithms: Successive Cancellation, Successive Cancellation with Lists and Belief Propagation. Using such…

信息论 · 计算机科学 2015-06-19 Noam Presman , Simon Litsyn

This paper proposes an extension of principal component analysis for Gaussian process (GP) posteriors, denoted by GP-PCA. Since GP-PCA estimates a low-dimensional space of GP posteriors, it can be used for meta-learning, which is a…

机器学习 · 统计学 2023-04-07 Hideaki Ishibashi , Shotaro Akaho

The inherent nature of polar codes being channel specific makes it difficult to use them in a setting where the communication channel changes with time. In particular, to be able to use polar codes in a wireless scenario, varying…

信息论 · 计算机科学 2017-04-04 P. K. Deekshith , K. R. Sahasranand

We provide a new approach to approximate emulation of large computer experiments. By focusing expressly on desirable properties of the predictive equations, we derive a family of local sequential design schemes that dynamically define the…

统计方法学 · 统计学 2014-10-13 Robert B. Gramacy , Daniel W. Apley

In this paper, we propose a coding scheme based on polar codes for empirical coordination of autonomous devices. We consider a two-node network with a noisy link in which the input and output signals have to be coordinated with the source…

信息论 · 计算机科学 2018-02-28 Giulia Cervia , Laura Luzzi , Maël Le Treust , Matthieu R. Bloch

The periodic Gaussian process (PGP) has been increasingly used to model periodic data due to its high accuracy. Yet, computing the likelihood of PGP has a high computational complexity of $\mathcal{O}\left(n^{3}\right)$ ($n$ is the data…

统计方法学 · 统计学 2023-02-10 Yongxiang Li , Yuting Pu , Changming Cheng , Qian Xiao

Principal Component Analysis (PCA) is a dimension reduction technique. It produces inconsistent estimators when the dimensionality is moderate to high, which is often the problem in modern large-scale applications where algorithm…

统计计算 · 统计学 2016-01-29 Qiaoya Zhang , Yiyuan She

Explicit coding schemes are proposed to achieve the rate-distortion function of the Heegard-Berger problem using polar codes. Specifically, a nested polar code construction is employed to achieve the rate-distortion function for the…

信息论 · 计算机科学 2017-10-06 Jinwen Shi , Ling Liu , Deniz Gündüz , Cong Ling

This paper proposes a rate-profile construction method for polarization-adjusted convolutional (PAC) codes of any code length and rate, which is capable of maintaining trade-off between the error-correction performance and decoding…

信息论 · 计算机科学 2021-06-16 Mohsen Moradi , Amir Mozammel

In this paper we provide a rigorous mathematical foundation for continuous approximations of a class of systems with piece-wise continuous functions. By using techniques from the theory of differential inclusions, the underlying piece-wise…

混沌动力学 · 物理学 2014-08-20 Marius-F. Danca

A heuristic construction of polar codes for successive cancellation list (SCL) decoding with a given list size is proposed to balance the trade-off between performance measured in frame error rate (FER) and decoding complexity. Furthermore,…

信息论 · 计算机科学 2018-08-03 Peihong Yuan , Tobias Prinz , Georg Böcherer , Onurcan İşcan , Ronald Böhnke , Wen Xu

Conditional probability density functional theory has recently been used to derive the temperature dependence of the Perdew-Burke-Ernzerhof (PBE) generalized gradient approximation (GGA) for the exchange-correlation (XC) free energy. We…

Information-theoretic work for wiretap channels is mostly based on random coding schemes. Designing practical coding schemes to achieve information-theoretic security is an important problem. By applying the two recently developed…

信息论 · 计算机科学 2014-10-15 Yi-Peng Wei , Sennur Ulukus