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Functional data analysis almost always involves smoothing discrete observations into curves, because they are never observed in continuous time and rarely without error. Although smoothing parameters affect the subsequent inference,…

Methodology · Statistics 2025-04-07 Sunny G. W. Wang , Valentin Patilea , Nicolas Klutchnikoff

If a point particle moves chaotically through a periodic array of scatterers the associated transport coefficients are typically irregular functions under variation of control parameters. For a piecewise linear two-parameter map we analyze…

Chaotic Dynamics · Physics 2009-11-10 R. Klages , T. Klauss

We show how spatial dispersion can be used as a mechanism to customize the longitudinal profiles of electric fields inside modulated wire media, using a fast and remarkably accurate 1D inhomogeneous model. This customization gives fine…

Applied Physics · Physics 2018-05-04 Taylor Boyd , Jonathan Gratus , Paul Kinsler , Rosa Letizia

It is shown that an aberrated wavefront incident upon a Fabry-Perot optical cavity excites higher order spatial modes in the cavity, and that the spectral width and distribution of these modes is indicative of the type and magnitude of the…

Optics · Physics 2019-06-26 Merlin L. Mah , Joseph J. Talghader

The Singularity Expansion Method Parameter Optimizer -- SEMPO -- is a toolbox to extract the complex poles, zeros and residues of an arbitrary response function acquired along the real frequency axis. SEMPO allows to determine this full set…

Optics · Physics 2025-10-02 I. Ben Soltane , M. Roy , R. Andre , N. Bonod

Random matrix theory is finding an increasing number of applications in the context of information theory and communication systems, especially in studying the properties of complex networks. Such properties include short-term and long-term…

Mathematical Physics · Physics 2015-01-13 Sherif M. Abuelenin , Adel Y. Abul-Magd

Multidimensional lattice constellations which present signal space diversity (SSD) have been extensively studied for single-antenna transmission over fading channels, with focus on their optimal design for achieving high diversity gain. In…

Information Theory · Computer Science 2012-07-04 Koralia N. Pappi , Nestor D. Chatzidiamantis , George K. Karagiannidis

Diversity can be broadly defined as the presence of meaningful variation across elements, which can be viewed from multiple perspectives, including statistical variation and geometric structural richness in the dataset. Existing diversity…

Artificial Intelligence · Computer Science 2026-02-11 Yang Ba , Mohammad Sadeq Abolhasani , Michelle V Mancenido , Rong Pan

We present a general method for the error analysis of spatial modulation (SM) systems over correlated and uncorrelated Rayleigh and Rician fading channels. The proposed method, making use of the properties of proper complex random variables…

Information Theory · Computer Science 2011-09-27 Mutlu Koca , Hikmet Sari

We investigate spectral properties of quantum graphs in the form of a periodic chain of rings with a connecting link between each adjacent pair, assuming that wave functions at the vertices are matched through conditions manifestly…

Mathematical Physics · Physics 2022-07-12 Marzieh Baradaran , Pavel Exner , Milos Tater

User cooperation is a well-known approach to achieve diversity without multiple antennas, however at the cost of inevitable loss of rate mostly due to the need of additional channels for relaying. A new collaborative diversity scheme is…

Information Theory · Computer Science 2011-03-01 Indu Shakya , Falah H. Ali , Elias Stipidis

Kernel adaptive filtering (KAF) integrates traditional linear algorithms with kernel methods to generate nonlinear solutions in the input space. The standard approach relies on the representer theorem and the kernel trick to perform…

Signal Processing · Electrical Eng. & Systems 2025-01-16 Kan Li , Jose C. Principe

We study quasi-periodic eigenvalue problems that arise in the stability analysis of periodic traveling wave solutions to Hamiltonian PDEs. We establish bounds on regions in the complex plane when the eigenvalues may deviate from the…

Analysis of PDEs · Mathematics 2024-10-28 Jared C Bronski , Ver Mikyoung Hur , Sarah E Simpson

A method for measuring the spectrum of a density field by a discrete wavelet space-scale decomposition (SSD) has been studied. We show how the power spectrum can effectively be described by the father function coefficients (FFC) of the…

Astrophysics · Physics 2007-05-23 Jesus Pando , Li-Zhi Fang

In this paper, the problem of channel estimation for LTE Downlink system in the environment of high mobility presenting non-Gaussian impulse noise interfering with reference signals is faced. The estimation of the frequency selective time…

Information Theory · Computer Science 2014-12-30 Anis Charrada , Abdelaziz Samet

This work investigates spatial-mode multiplexing (SMM) for practical free-space optical communication (FSO) systems using direct detection. Unlike several works in the literature where mutually incoherent channels are assumed, we consider…

Information Theory · Computer Science 2018-01-22 Shenjie Huang , Gilda Raoof Mehrpoor , Majid Safari

Vehicular communication channels are characterized by a non-stationary time- and frequency-selective fading process due to rapid changes in the environment. The non-stationary fading process can be characterized by assuming local…

Networking and Internet Architecture · Computer Science 2014-04-28 Laura Bernadó , Thomas Zemen , Fredrik Tufvesson , Andreas F. Molisch , Christoph F. Mecklenbräuker

We derive the exact form of the eigenvalue spectra of correlation matrices derived from a set of time-shifted, finite Brownian random walks (time-series). These matrices can be seen as random, real, asymmetric matrices with a special…

Physics and Society · Physics 2008-12-02 Christoly Biely , Stefan Thurner

Zhang et. al. recently derived upper and lower bounds on the achievable diversity of an N_R x N_T i.i.d. Rayleigh fading multiple antenna system using transmit antenna selection, spatial multiplexing and a linear receiver structure. For the…

Information Theory · Computer Science 2007-07-13 J. Jalden , B. Ottersten

In this article, we propose a spectral method for a class of multivariate inhomogeneous spatial point processes, namely the second-order intensity reweighted stationary processes. A key ingredient of our approach is utilizing the asymptotic…

Methodology · Statistics 2025-10-22 Qi-Wen Ding , Junho Yang , Joonho Shin