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Construction of signal sets with low correlation property is of interest to designers of CDMA systems. One of the preferred ways of constructing such sets is the interleaved construction which uses two sequences a and b with 2-level…

Information Theory · Computer Science 2007-07-13 N Rajesh Pillai , Yogesh Kumar

On the space of rhythms of arbitrary length with a fixed number of onsets, a self map $F$ is constructed. It is shown that for any rhythm $\mathbf{r}$ of the space there exists a nonnegative integer $k$ such that $F^k(\mathbf{r})$ falls…

Combinatorics · Mathematics 2017-11-07 Fumio Hazama

In this paper we propose a compositional framework for the construction of approximations of the interconnection of a class of stochastic hybrid systems. As special cases, this class of systems includes both jump linear stochastic systems…

Optimization and Control · Mathematics 2016-04-26 Majid Zamani , Matthias Rungger , Peyman Mohajerin Esfahani

Cyclic codes are an important subclass of linear codes and have wide applications in data storage systems, communication systems and consumer electronics. In this paper, two families of optimal ternary cyclic codes are presented. The first…

Information Theory · Computer Science 2013-09-06 Nian Li , Chunlei Li , Tor Helleseth , Cunsheng Ding , Xiaohu Tang

In this paper three Schur ring are discussed, namenly: Hamming, circulant orbists and decimated circulant orbits Schur ring. By using autocorrelation function and the run structure of binary sequences we proof the relation between this…

Combinatorics · Mathematics 2018-07-31 Ronald Orozco López

We consider a notion of exact sequences in any -not necessarily exact- pointed category relative to a given (E;M)-factorization structure. We apply this notion to introduce and investigate a new notion of exact sequences of semimodules over…

Category Theory · Mathematics 2011-11-03 Jawad Abuhlail

We study problems of reconfiguration of shortest paths in graphs. We prove that the shortest reconfiguration sequence can be exponential in the size of the graph and that it is NP-hard to compute the shortest reconfiguration sequence even…

Computational Complexity · Computer Science 2015-05-19 Marcin Kaminski , Paul Medvedev , Martin Milanic

We define sequence patterns of length $n$ and level $\ell$ to be equivalence classes of sequences that have $n$ elements from the set of $\ell$ integer symbols $\{1,2,\ldots,\ell\}$ with no restriction on repetition, where the equivalence…

Combinatorics · Mathematics 2023-01-10 Pengyu Liu , Jingzhou Na

This paper deals with hybrid systems (HS) with fractional order dynamics and their stability. The stability of two particular types of fractional order hybrid systems (FOHS), i.e., switching and reset control systems, is studied. Common…

Systems and Control · Computer Science 2013-03-25 S. Hassan HosseinNia , Inés Tejado , Blas M. Vinagre

We develop a general framework for estimating the $L_\infty(\mathbb{T}^d)$ error for the approximation of multivariate periodic functions belonging to specific reproducing kernel Hilbert spaces (RHKS) using approximants that are…

Numerical Analysis · Mathematics 2019-09-06 Lutz Kämmerer

The linear strong--property--fluctuation theory (SPFT) was developed in order to estimate the constitutive parameters of certain homogenized composite materials (HCMs) in the long--wavelength regime. The component materials of the HCM were…

Optics · Physics 2009-11-13 Andrew J. Duncan , Tom G. Mackay , Akhlesh Lakhtakia

This paper presents a novel meta learning framework for feature selection (FS) based on fuzzy similarity. The proposed method aims to recommend the best FS method from four candidate FS methods for any given dataset. This is achieved by…

Machine Learning · Computer Science 2020-05-22 Zixiao Shen , Xin Chen , Jonathan M. Garibaldi

Multi-Coset (MC) sampling is a well established, practically feasible scheme for sampling multiband analog signals below the Nyquist rate. MC sampling has gained renewed interest in the Compressive Sensing (CS) community, due partly to the…

Information Theory · Computer Science 2016-03-23 Chia Wei Lim , Michael B. Wakin

Fractional frequency reuse (FFR) is an inter-cell interference coordination scheme that is being actively researched for emerging wireless cellular networks. In this work, we consider hexagonal tessellation based planned FFR deployments,…

Information Theory · Computer Science 2014-01-21 Suman Kumar , Sheetal Kalyani , K. Giridhar

The photoexcitation dynamics of molecular materials on the 10-100 nm length scale depend on complex interactions between the electronic and vibrational degrees of freedom, rendering exact calculations difficult or intractable. The adaptive…

Chemical Physics · Physics 2024-03-11 Brian Citty , Jacob K. Lynd , Tarun Gera , Leonel Varvelo , Doran I. G. B. Raccah

The pattern of formation of resonant frequency clusters in idealized sympodial dichasium trees is revealed by numerical modeling and analysis. The larger cluster's cardinality correlates with that of a Small World Network, which share the…

Statistical Mechanics · Physics 2022-03-07 Francesco Danzi , James M. Gibert

Perfect hash functions can potentially be used to compress data in connection with a variety of data management tasks. Though there has been considerable work on how to construct good perfect hash functions, there is a gap between theory…

Data Structures and Algorithms · Computer Science 2007-05-23 Fabiano C. Botelho , Rasmus Pagh , Nivio Ziviani

Building classification models is an intrinsically practical exercise that requires many design decisions prior to deployment. We aim to provide some guidance in this decision making process. Specifically, given a classification problem…

Machine Learning · Computer Science 2021-02-01 James Large , Jason Lines , Anthony Bagnall

We revisit a fundamental problem in string matching: given a pattern of length m and a text of length n, both over an alphabet of size $\sigma$, compute the Hamming distance between the pattern and the text at every location. Several…

Data Structures and Algorithms · Computer Science 2020-01-03 Timothy M. Chan , Shay Golan , Tomasz Kociumaka , Tsvi Kopelowitz , Ely Porat

In this article we construct uncountably many new homogeneous locally finite Steiner triple systems of countably infinite order as Fra\"{\i}ss\'{e} limits of classes of finite Steiner triple systems avoiding certain subsystems. The…

Combinatorics · Mathematics 2021-03-10 Daniel Horsley , Bridget S. Webb