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A better understanding of the noise causing qubit decoherence is crucial for improving qubit performance. The noise spectrum affecting the qubit may be extracted by measuring dephasing under the application of pulse sequences but requires…

Quantum Physics · Physics 2013-01-10 Thomas Fink , Hendrik Bluhm

We investigate theoretically the efficiency of deep-space optical communication in the presence of background noise. With decreasing average signal power spectral density, a scaling gap opens up between optimized simple-decoded pulse…

Quantum Physics · Physics 2018-02-20 Marcin Jarzyna , Wojciech Zwoliński , Michał Jachura , Konrad Banaszek

Applying a transformation to a non-Gaussian field can enhance the information content of the resulting power spectrum, by reducing the correlations between Fourier modes. In the context of weak gravitational lensing, it has been shown that…

Cosmology and Nongalactic Astrophysics · Physics 2015-12-16 Fergus Simpson , Joachim Harnois-Déraps , Catherine Heymans , Raul Jimenez , Benjamin Joachimi , Licia Verde

The quality of energy produced in renewable energy systems has to be at the high level specified by respective standards and directives. The estimation accuracy of grid signal parameters is one of the most important factors affecting this…

Systems and Control · Computer Science 2016-01-05 Józef Borkowski , Dariusz Kania

The phonon-assisted interband optical absorption spectrum of silicon is calculated at the quasiparticle level entirely from first principles. We make use of the Wannier interpolation formalism to determine the quasiparticle energies, as…

The ideal spectral averaging method depends on one's science goals and the available information about one's data. Including low-quality data in the average can decrease the signal-to-noise ratio (SNR), which may necessitate an optimization…

Instrumentation and Methods for Astrophysics · Physics 2023-10-18 L. D. Anderson , B. Liu , Dana S. Balser , T. M. Bania , L. M. Haffner , Dylan J. Linville , Matteo Luisi , Trey V. Wenger

Fourier transform methods are used to analyze functions and data sets to provide frequencies, amplitudes, and phases of underlying oscillatory components. Fast Fourier transform (FFT) methods offer speed advantages over evaluation of…

Data Analysis, Statistics and Probability · Physics 2015-07-08 Elya Courtney , Michael Courtney

To estimate accurate voltage phasors from inaccurate voltage magnitude and complex power measurements, the standard approach is to iteratively refine a good initial guess using the Gauss--Newton method. But the nonconvexity of the…

Optimization and Control · Mathematics 2025-04-01 Iven Guzel , Richard Y. Zhang

Accurate estimation of galaxy cluster masses is a central problem in cosmology. Turbulence is believed to introduce significant deviations from the hydrostatic mass estimates. Estimation of turbulence properties is complicated by projection…

Cosmology and Nongalactic Astrophysics · Physics 2024-04-04 Mark Bishop , Yvette Perrott , Tulasi Parashar , Sean Oughton

A theoretical analysis, aimed at characterizing the degradation induced by the resampling and requantization processes applied to band-limited Gaussian signals with flat power spectrum, available through their digitized samples, is…

Information Theory · Computer Science 2009-08-19 Marco Lanucara , Riccardo Borghi

The traditional secondary frequency control of power systems restores nominal frequency by steering Area Control Errors (ACEs) to zero. Existing methods are a form of integral control with the characteristic that large control gain…

Optimization and Control · Mathematics 2018-07-17 Kaihua Xi , Johan L. A. Dubbeldam , Hai Xiang Lin , Jan H. van Schuppen

In the presence of additive Gaussian noise, the statistics of the nonlinear Fourier transform (NFT) of a pulse are not yet completely known in closed form. In this paper, we propose a novel approach to study this problem. Our contributions…

Information Theory · Computer Science 2019-05-22 Francisco Javier Garcia-Gomez , Vahid Aref

Enabling low power wireless devices to adopt Nyquist sampling at high carriers is prohibitive. In spectrum sensing, this limit calls for an analog front-end that can sweep different bands quickly, in order to use the available spectrum…

Information Theory · Computer Science 2017-12-15 Lorenzo Ferrari , Anna Scaglione

Permutation tests are among the simplest and most widely used statistical tools. Their p-values can be computed by a straightforward sampling of permutations. However, this way of computing p-values is often so slow that it is replaced by…

Computation · Statistics 2018-07-27 Jean-Marie Droz

Spectral clustering is one of the most important algorithms in data mining and machine intelligence; however, its computational complexity limits its application to truly large scale data analysis. The computational bottleneck in spectral…

Machine Learning · Computer Science 2015-05-13 Christos Boutsidis , Alex Gittens , Prabhanjan Kambadur

The estimation of power spectra from LDA data provides signal processing challenges for fluid dynamicists for several reasons: acquisition is dictated by randomly arriving particles, the registered particle velocities tend to be biased…

Fluid Dynamics · Physics 2019-06-14 Clara M. Velte , William K. George , Preben Buchhave

Oversampling combined with low quantization resolutions has been shown to be a viable option when aiming for energy efficiency in multigigabit/s communications systems. This work considers the case of 1-bit quantization combined with…

Information Theory · Computer Science 2016-04-14 Tim Hälsig , Lukas Landau , Gerhard Fettweis

Various applications involve assigning discrete label values to a collection of objects based on some pairwise noisy data. Due to the discrete---and hence nonconvex---structure of the problem, computing the optimal assignment (e.g.~maximum…

Information Theory · Computer Science 2017-12-11 Yuxin Chen , Emmanuel Candes

The power method is one of the most fundamental tools for extracting top principal components from data through low-rank matrix approximation. Yet, when the target rank is large, the cost of matrix multiplication associated with this…

Numerical Analysis · Mathematics 2026-05-12 Shabarish Chenakkod , Michał Dereziński
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