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In multipath systems, available degrees of freedom can be considered as a key performance indicator, since the channel capacity grows linearly with the available degrees of freedom. However, a fundamental question arises: given a size…

Information Theory · Computer Science 2016-11-18 Farhana Bashar , S. M. Akramus Salehin , Thushara D. Abhayapala

Imagine an array with a massive (possibly uncountably infinite) number of antennas in a compact space. We refer to a system of this sort as Holographic MIMO. Given the impressive properties of Massive MIMO, one might expect a holographic…

Information Theory · Computer Science 2021-11-03 Andrea Pizzo , Thomas L. Marzetta , Luca Sanguinetti

We consider a parity-time ($\mathcal{PT}$-) symmetric waveguide consisting of a localized gain and loss elements separated by a variable distance. The situation is modelled by a Schr\"odiner operator with localized complex…

Mathematical Physics · Physics 2019-10-10 D. I. Borisov , D. A. Zezyulin

This paper introduces a data-adaptive non-parametric approach for the estimation of time-varying spectral densities from nonstationary time series. Time-varying spectral densities are commonly estimated by local kernel smoothing. The…

Computation · Statistics 2020-07-21 Anne van Delft , Michael Eichler

This article provides a primer on the spectral representation of random fields via the Karhunen-Lo\`eve Expansion (KLE). The goal is to bridge the gap between the theoretical foundations of the KLE and its application in computational…

Numerical Analysis · Mathematics 2026-05-12 Alen Alexanderian

Optical nonlinear Fourier transform-based communication systems require an accurate estimation of a signal's nonlinear spectrum, computed usually by piecewise approximation methods on the signal samples. We propose an algorithm, named…

Information Theory · Computer Science 2023-07-19 Alexander Span , Vahid Aref , Henning Buelow , Stephan ten Brink

In this article, we construct the multivariate fractal interpolation functions for a given data points and explore the existence of $\alpha$-fractal function corresponding to the multivariate continuous function defined on $[0,1]\times…

Functional Analysis · Mathematics 2022-06-28 Vishal Agrawal , Megha Pandey , Tanmoy Som

This paper derives the outage probability and transmission capacity of ad hoc wireless networks with nodes employing multiple antenna diversity techniques, for a general class of signal distributions. This analysis allows system performance…

Information Theory · Computer Science 2016-11-15 Andrew M. Hunter , Jeffrey G. Andrews , Steven Weber

We investigate the multipath fading relay channel in the limit of a large bandwidth, and in the non-coherent setting, where the channel state is unknown to all terminals, including the relay and the destination. We propose a hypergraph…

Information Theory · Computer Science 2016-11-17 Nadia Fawaz , Muriel Medard

Spectral kernel methods are techniques for transforming data into a coordinate system that efficiently reveals the geometric structure - in particular, the "connectivity" - of the data. These methods depend on certain tuning parameters. We…

Methodology · Statistics 2008-11-04 Ann B. Lee , Larry Wasserman

Spatial autocorrelation coefficients such as Moran's index proved to be an eigenvalue of the spatial correlation matrixes. An eigenvalue represents a kind of characteristic length for quantitative analysis. However, if a spatial correlation…

Physics and Society · Physics 2021-02-04 Yanguang Chen

The goal of this paper is to establish which practical routing schemes for wireless networks are most suitable for wideband systems in the power-limited regime, which is, for example, a practically relevant mode of operation for the…

Information Theory · Computer Science 2016-11-15 Ozgur Oyman , J. Nicholas Laneman

Precision measurements of the galaxy power spectrum P(k) require a data analysis pipeline that is both fast enough to be computationally feasible and accurate enough to take full advantage of high-quality data. We present a rigorous…

Astrophysics · Physics 2009-10-07 Max Tegmark , Andrew Hamilton , Michael Strauss , Michael Vogeley , Alexander Szalay

Recently, the remarkable potential of a multiple-input multiple-output (MIMO) wireless communication system was unveiled for its ability to provide spatial diversity or multiplexing gains. For MIMO diversity schemes, it is already known…

Information Theory · Computer Science 2007-07-13 Hongyuan Zhang , Huaiyu Dai , Quan Zhou , Brian L. Hughes

We extend the diffusion-map formalism to data sets that are induced by asymmetric kernels. Analytical convergence results of the resulting expansion are proved, and an algorithm is proposed to perform the dimensional reduction. In this work…

Machine Learning · Computer Science 2024-01-24 Alvaro Almeida Gomez , Antonio Silva Neto , Jorge zubelli

We introduce and characterize the operational diversity order (ODO) in fading channels, as a proxy to the classical notion of diversity order at any arbitrary operational signal-to-noise ratio (SNR). Thanks to this definition, relevant…

When plane waves diffract through fractal-patterned apertures, the resulting far-field profiles or diffractals also exhibit iterated, self-similar features. Here we show that this specific architecture enables robust signal processing and…

Optics · Physics 2015-09-17 Matthew Moocarme , Luat T. Vuong

We report on a comprehensive experimental investigation into the spatial-spectral complexity of the laser beam during Kerr-induced beam self-cleaning in graded-index multimode fibers. We demonstrate the self-cleaning of beams using both…

Optics · Physics 2024-08-31 Moshe Labaz , Pavel Sidorenko

Hyperspectral pansharpening consists of fusing a high-resolution panchromatic band and a low-resolution hyperspectral image to obtain a new image with high resolution in both the spatial and spectral domains. These remote sensing products…

Computer Vision and Pattern Recognition · Computer Science 2024-12-30 Matteo Ciotola , Giuseppe Guarino , Gemine Vivone , Giovanni Poggi , Jocelyn Chanussot , Antonio Plaza , Giuseppe Scarpa

Noncoherent communication systems have regained interest due to the growing demand for high-mobility and low-latency applications. Most existing studies using large antenna arrays rely on the far-field approximation, which assumes locally…

Signal Processing · Electrical Eng. & Systems 2025-05-26 Aniol Martí , Luca Sanguinetti , Meritxell Lamarca , Jaume Riba