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An interferometric technique is proposed for determining the spatial forms of the individual degrees of freedom through which a many body system can absorb energy from its environment. The method separates out the coherent excitations…

Quantum Physics · Physics 2017-08-30 S. Withington , C. N. Thomas , D. J. Goldie

Gravitational wave astrophysics relies heavily on the use of matched filtering both to detect signals in noisy data from detectors, and to perform parameter estimation on those signals. Matched filtering relies upon prior knowledge of the…

General Relativity and Quantum Cosmology · Physics 2020-03-18 Daniel Williams , Ik Siong Heng , Jonathan Gair , James A Clark , Bhavesh Khamesra

Using projections on the (generalized) eigenvectors associated to matrices that characterize the topological structure, several authors have constructed generalizations of the Fourier transform on graphs. By exploring mappings of the…

Data Analysis, Statistics and Probability · Physics 2016-05-11 R. Vilela Mendes , Hugo C. Mendes , Tanya Araújo

We review different attempts to show the decoherence process in double-slit-like experiments both for charged particles (electrons) and neutral particles with permanent dipole moments. Interference is studied when electrons or atomic…

Quantum Physics · Physics 2009-11-11 Fernando C. Lombardo , Paula I. Villar

It is shown that a random binary process with impulse-like autocorrelation can be generated by randomizing the length of symbols occurring in a random Bernoulli process. Such randomization is achieved by random (or judiciously designed…

Signal Processing · Electrical Eng. & Systems 2020-06-30 W. J. Szajnowski

A Lorentz invariant framework is developed to model the cross spectrum of two interferometers in a space-time that emerges from a Planck scale quantum system with exact causal symmetry and holographic spacelike rotational correlations.…

General Relativity and Quantum Cosmology · Physics 2018-09-21 Craig Hogan , Ohkyung Kwon

Waveform design is a pivotal component of the fully adaptive radar construct. In this paper we consider waveform design for radar space time adaptive processing (STAP), accounting for the waveform dependence of the clutter correlation…

Systems and Control · Computer Science 2016-01-20 Pawan Setlur , Muralidhar Rangaswamy

The mutual interference between similar radar systems can result in reduced radar sensitivity and increased false alarm rates. To address the synchronous and asynchronous interference mitigation problems in similar radar systems, we first…

Signal Processing · Electrical Eng. & Systems 2022-08-10 Arindam Bose , Bo Tang , Wenjie Huang , Mojtaba Soltanalian , Jian Li

Holography is an optical technique enabling to record phase objects. Holographic interferometry uses this faculty to make a phase object interfere with a memory of itself at a preceding time, recorded on a hologram. Interference fringes…

Fluid Dynamics · Physics 2009-11-23 Jean Colombani , Jacques Bert

Cross-spectral analysis is a mathematical tool for extracting the power spectral density of a correlated signal from two time series in the presence of uncorrelated interfering signals. We demonstrate and explain a set of conditions where…

Instrumentation and Detectors · Physics 2013-07-26 Craig W. Nelson , Archita Hati , David A. Howe

This publication presents a novel interferometric method for the simultaneous spatially resolved analysis of an object under test regarding the phase transmission function and the magnitude and orientation of dichroism. Analogous to the…

Optics · Physics 2018-12-12 Sergej Rothau , Xiao Rao , Norbert Lindlein

Phase-contrast imaging is an emerging technology that may increase the signal-difference-to-noise ratio in medical imaging. One of the most promising phase-contrast techniques is Talbot interferometry, which, combined with energy-sensitive…

A model-independent statistical framework is presented to interpret data from systems where the mean time derivative of positional cross correlation between world lines, a measure of spreading in a quantum geometrical wave function, is…

General Relativity and Quantum Cosmology · Physics 2017-03-16 Craig J. Hogan , Ohkyung Kwon

Discrete wavelet transform of finite-length signals must necessarily handle the signal boundaries. The state-of-the-art approaches treat such boundaries in a complicated and inflexible way, using special prolog or epilog phases. This holds…

Signal Processing · Electrical Eng. & Systems 2017-09-26 David Barina , Pavel Zemcik , Michal Kula

Collaborative beamforming enables nodes in a wireless network to transmit a common message over long distances in an energy efficient fashion. However, the process of making available the same message to all collaborating nodes introduces…

Information Theory · Computer Science 2008-01-22 Lun Dong , Athina P. Petropulu , H. Vincent Poor

The interference between radiation fields superposed appropriately contains all available information about the source. This will be recapitulated for coherent and incoherent fields. We will further analyze a new kind of twisted 3D…

Optics · Physics 2016-11-28 Martin Berz , Cordelia Berz

A design method for chromatic dispersion compensation filters realized using overlap-save processing in the frequency domain is proposed. Based on the idea to use the values that are normally zero-padded, better results than using optimal…

Signal Processing · Electrical Eng. & Systems 2023-08-14 Oscar Gustafsson , Cheolyong Bae , Hakan Johansson

A new method recovers the phase difference of interfering wavefronts from a pattern of interference fringes, avoiding the phase discontinuity problem. The method relies on the numerical solution of one-dimensional first-order ordinary…

Optics · Physics 2024-08-01 V. Berejnov , B. Y. Rubinstein

With their ability to handle an increased amount of information, multivariate and multichannel signals can be used to solve problems normally not solvable with signals obtained from a single source. One such problem is the decomposition…

Information Theory · Computer Science 2019-04-02 Ljubisa Stankovic , Milos Brajovic , Milos Dakovic , Danilo Mandic

The autocorrelation function, A(t), measures the overlap (in Hilbert space) of a time-dependent quantum mechanical wave function, psi(x,t), with its initial value, psi(x,0). It finds extensive use in the theoretical analysis and…

Quantum Physics · Physics 2009-11-10 R. W. Robinett , L. C. Bassett