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The paper investigates the emerging field of low-complexity non-binary polar code (NB-PC) decoders. It shows that customizing each kernel of an NB-PC decoder through offline analysis can significantly reduce the overall decoding complexity.…

Information Theory · Computer Science 2025-09-12 Joseph Jabbour , Ali Chamas Al-Ghouwayel , Emmanuel Boutillon

Photonic nonreciprocal components, such as isolators and circulators, provide highly desirable functionalities for optical circuitry. This motivates the active investigation of mechanisms that break reciprocity, and pose alternatives to…

Optics · Physics 2016-12-06 Freek Ruesink , Mohammad-Ali Miri , Andrea Alù , Ewold Verhagen

Many developmental processes in biology utilize Notch-Delta signaling to construct an ordered pattern of cellular differentiation. This signaling modality is based on nearest-neighbor contact, as opposed to the more familiar mechanism…

Molecular Networks · Quantitative Biology 2020-07-14 Eial Teomy , David A. Kessler , Herbert Levine

Odd-frequency Cooper pairs with chiral symmetry emerging at the edges of topological superconductors are a useful physical quantity for characterizing the topological properties of these materials. In this work, we show that the…

Superconductivity · Physics 2019-05-29 Shun Tamura , Shintaro Hoshino , Yukio Tanaka

We show that the Kepler spacecraft in two-reaction wheel mode of operation is very well suited for the study of eclipsing binary star systems. Continued observations of the Kepler field will provide the most enduring and long-term valuable…

Transactional memory allows the user to declare sequences of instructions as speculative \emph{transactions} that can either \emph{commit} or \emph{abort}. If a transaction commits, it appears to be executed sequentially, so that the…

Distributed, Parallel, and Cluster Computing · Computer Science 2013-04-11 Hagit Attiya , Sandeep Hans , Petr Kuznetsov , Srivatsan Ravi

The paper introduces new types of nonlinear correlations between bivariate data sets and derives nonlinear auto-correlations on the same data set. These auto-correlations are of different types to match signals with different types of…

Chaotic Dynamics · Physics 2014-09-23 Sanjay Kumar Palit , Sayan Mukherjee , D. K. Bhattacharya

Banded bounded matrices, which represent non normal operators, of oscillatory type that admit a positive bidiagonal factorization are considered. To motivate the relevance of the oscillatory character the Favard theorem for Jacobi matrices…

Classical Analysis and ODEs · Mathematics 2023-07-18 Amílcar Branquinho , Ana Foulquié-Moreno , Manuel Mañas

Transports preserving the angle between two contravariant vector fields but changing their lengths proportional to their own lengths are introduced as ''conformal'' transports and investigated over spaces with contravariant and covariant…

General Relativity and Quantum Cosmology · Physics 2015-06-25 Sawa Manoff

An overall reduction factor (ORF) is introduced for studying the quenching of single particle strengths through nucleon transfer reactions. The ORF includes contributions of all the probed bound states of the residual nucleus in a transfer…

Nuclear Experiment · Physics 2018-10-04 Y. P. Xu , D. Y. Pang , X. Y. Yun , C. Wen , C. X. Yuan , J. L. Lou

Synchronization is an important dynamical phenomenon in coupled nonlinear systems, which has been studied extensively in recent years. However, analysis focused on individual orbits seems hard to extend to complex systems while a global…

Chaotic Dynamics · Physics 2021-01-04 Jing Hu , Yueheng Lan

In this paper, we propose novel strategies for neutral vector variable decorrelation. Two fundamental invertible transformations, namely serial nonlinear transformation and parallel nonlinear transformation, are proposed to carry out the…

Computer Vision and Pattern Recognition · Computer Science 2017-05-31 Zhanyu Ma , Jing-Hao Xue , Arne Leijon , Zheng-Hua Tan , Zhen Yang , Jun Guo

For a multivariate stationary process, we develop explicit representations for the finite predictor coefficient matrices, the finite prediction error covariance matrices and the partial autocorrelation function (PACF) in terms of the…

Probability · Mathematics 2016-09-05 Akihiko Inoue , Yukio Kasahara , Mohsen Pourahmadi

The processing of signals on simplicial and cellular complexes defined by nodes, edges, and higher-order cells has recently emerged as a principled extension of graph signal processing for signals supported on more general topological…

Social and Information Networks · Computer Science 2023-04-04 Lucille Calmon , Michael T. Schaub , Ginestra Bianconi

Cyclic codes are an interesting subclass of linear codes and have been used in consumer electronics, data transmission technologies, broadcast systems, and computer applications due to their efficient encoding and decoding algorithms. In…

Information Theory · Computer Science 2012-07-12 Cunsheng Ding

Bifurcations of the $A_{n}$ type in Arnold's classification, in non-autonomous $p$-periodic difference equations generated by parameter depending families with $p$ maps, are studied. It is proved that the conditions of degeneracy,…

Dynamical Systems · Mathematics 2015-03-06 Henrique Manuel Oliveira

The time periodic circuit theory is exploited to introduce an appropriate translation operator that is invariant under the change of the spatial unit cell. Useful properties of the operator are derived. By casting the problem in an…

Applied Physics · Physics 2020-08-25 Sameh Y. Elnaggar , Gregory. N. Milford

We introduce a new construction for the balancing of non-binary sequences that make use of Gray codes for prefix coding. Our construction provides full encoding and decoding of sequences, including the prefix. This construction is based on…

Information Theory · Computer Science 2017-06-06 Elie Ngomseu Mambou , Theo G. Swart

We introduce and analyze a novel class of binary operations on finite-dimensional vector spaces over a field K, defined by second-order multilinear expressions with linear shifts. These operations generate polynomials whose degree increases…

General Mathematics · Mathematics 2025-07-08 Stanislav Semenov

Accidental symmetries in effective field theories can be established by computing and comparing Hilbert series. This invites us to study them with the tools of invariant theory. Applying this technology, we spotlight three classes of…

High Energy Physics - Phenomenology · Physics 2024-12-10 Benjamín Grinstein , Xiaochuan Lu , Carlos Miró , Pablo Quílez
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