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Choice of Sampling Interval and Extent for Finite-Energy Fields
2017
IEEE Transactions on Signal Processing
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We focus on the problem of representing a nonstationary finite-energy random field, with finitely many samples. We do not require the field to be of finite extent or to be bandlimited. ...
We propose an optimizable procedure for obtaining a finite-sample representation of the given field. ...
Choice of Sampling Interval and Extent for Finite-Energy Fields Talha Cihad Gulcu, Student Member, IEEE, and Haldun M. ...
doi:10.1109/tsp.2016.2641391
fatcat:xbjkejoycfesllvje4jbmztwta
Beyond Nyquist sampling: a cost-based approach
2013
Optical Society of America. Journal A: Optics, Image Science, and Vision
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A sampling-based framework for finding the optimal representation of a finite energy optical field using a finite number of bits is presented. ...
For a given bit budget, we determine the optimum number and spacing of the samples in order to represent the field with as low error as possible. ...
This suggests that r 2 is a poor choice for defining the effective extents, and illustrates the importance of determining effective extents appropriately. ...
doi:10.1364/josaa.30.000645
pmid:23595324
fatcat:cueftvjupbf2dmrvvrysgxe6la
Black holes, bandwidths and Beethoven
2000
Journal of Mathematical Physics
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In QFT, we identify the bandwidth as the in general spatially variable finite local density of degrees of freedom of ultraviolet regularized fields. ...
Namely, we show that for every fixed bandwidth there exist functions which pass through any finite number of arbitrarily prespecified points. ...
Acklowledgements: The author is very grateful to Haret Rosu for bringing the issue of superoscillations to his attention, and the author is happy to thank John Klauder and Pierre Sikivie for their very ...
doi:10.1063/1.533244
fatcat:opsgbdiegzel5a2zz6e4b2y5qe
Universal Lower Bound for Finite-Sample Reconstruction Error and Its Relation to Prolate Spheroidal Functions
2018
IEEE Signal Processing Letters
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This error bound depends on the number of samples but nothing else, and is thus represented as a universal curve of error versus number of samples. ...
We consider the problem of representing a finiteenergy signal with a finite number of samples. ...
and implies a sampling interval of 1/Δμ. ...
doi:10.1109/lsp.2017.2769695
fatcat:uamircb44vfszinw73dkbz434m
Spectral Super-resolution and Band-limited Extrapolation Using Slepian Series
2019
IFAC-PapersOnLine
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This way, it is much easier to investigated the extent to which a signal can be extrapolated from its samples taken in a finite interval. ...
This way, it is much easier to investigated the extent to which a signal can be extrapolated from its samples taken in a finite interval. ...
ACKNOWLEDGEMENTS The research was financially supported by Brno University of Technology. Part of the work was carried out with the support of core facilities of CEITEC -Central European ...
doi:10.1016/j.ifacol.2019.12.691
fatcat:uttqk5p6y5gcfp55kqm3v7hpjm
Equivalence of linear canonical transform domains to fractional Fourier domains and the bicanonical width product: a generalization of the space–bandwidth product
2010
Optical Society of America. Journal A: Optics, Image Science, and Vision
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If a set of signals is highly confined to finite intervals in two arbitrary LCT domains, the space-frequency (phase space) support is a parallelogram. ...
signals with fewer samples. ...
Blahut for his support and comments on the manuscript. H. M. Ozaktas was supported in part by the Turkish Academy of Sciences. ...
doi:10.1364/josaa.27.001885
pmid:20686595
fatcat:xgodsoqxgjgrpdx6jcizafyrwi
Non-equilibrium quantum dynamics with collisional correlations
2014
New Journal of Physics
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states, and then sampling this state into an ensemble of mean-field states according to the jump probability obtained from perturbation theory. ...
The scheme is applied to a simple 1D test case calibrated to typical scales of molecules and clusters. Even for the small system size and low dimension, the scheme produces robust results. ...
Acknowledgments The authors thank Institut Universitaire de France, Humboldt foundation and European Marie Curie ITN CORINF for support during the realization of this work. ...
doi:10.1088/1367-2630/16/6/063066
fatcat:bkhm6imdsrcezbpd2tyehkdae4
Modeling of nonlinear ultrasound propagation in tissue from array transducers
2003
Journal of the Acoustical Society of America
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A new, computationally efficient approach for rnodelling finite amplitude ultrasound propagation is descnbed. ...
The model is able to simulate nonlinear distortion of CW and pulsed excitations fiom non-axisymmetric sources in tissue. ...
The choice of sampling intervals for the source determines the extent of the spatial kequency domah. ...
doi:10.1121/1.1528926
pmid:12558254
fatcat:h353xbtambeyxjiexmo5oq343u
Adaptive Regulation of Sampling Rates for Power Efficient Embedded Control system Design
[article]
2018
arXiv
pre-print
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2017
2017 17th International Conference on Control, Automation and Systems (ICCAS)
unpublished
doi:10.23919/iccas.2017.8204289 fatcat:5kjkw5x24renre66cd5dntluse
doi:10.23919/iccas.2017.8204289 fatcat:5kjkw5x24renre66cd5dntluse
On this regard, we present algorithmic approaches for on-line regulation of sampling rates of the control task under some power-performance trade-off. ...
In low power embedded control systems, the sampling rate of the control tasks has a direct relationship with control performance and power consumption. ...
performance cost of a closed loop system with sampling rate h j deployed for a time interval of T j . ...
arXiv:1802.04800v1
fatcat:2ubvohz66vgfnhd37zlycgas4y
The Λ(1405) from Lattice QCD: Determining the Finite-volume Spectra
[article]
2023
arXiv
pre-print
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2023 pre-print arXiv:2312.05154v1 fatcat:wftbs7tivreuzkqavqcnizjipi
This work presents technical details of determining the finite-volume energy spectra for the scattering amplitude of the coupled-channel πΣ - K̅N from lattice QCD data. ...
Results of the methods used are presented and the final finite-volume spectra are shown. ...
Department of Energy, Office of Science, Office of Nuclear Physics, under grant contract numbers DE-SC0011090 and DE-SC0021006 (FRL), DE-SC0012704 (ADH), DE-AC02-05CH11231 (AWL) and within the framework ...
arXiv:2312.05154v2
fatcat:arf4wpriircslaokoj4n2apxji
A Constrained Nonlinear Programming Technique for Interpretation of Self-Potential Anomalies due to Two-Dimensional Inclined Sheets of Finite Depth Extent
2005
Journal of King Abdulaziz University-Earth Sciences
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depth extent. ...
This algorithm is chosen for being robust and also because its application to SP data converges rapidly towards the optimal estimation of parameters. ...
Othman Director General of the Atomic Energy Commission of Syria for his interest and continuous encouragement to achieve this work. ...
doi:10.4197/ear.16-1.2
fatcat:d2yzdrxevfeozobtxwqs5u4y7u
Emergence of quasiperiodic Bloch wave functions in quasicrystals
2022
Physical Review Research
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These functions possess the structure of earlier ancestors of the underlying Fibonacci potential, and it is often possible to obtain different ancestors as different superpositions around the same energy ...
These theoretical results may explain a number of experimental observations, and may have practical consequences on emerging theories of band topology and correlated electrons in quasicrystals. ...
R.L. also thanks the School of Mathematics at the University of Leeds for their kind hospitality and the Cheney Foundation for their financial support. ...
doi:10.1103/physrevresearch.4.013226
fatcat:yx3p3uf2bvhbpopyg7rmvjmhly
Periodic vortex lattices for the Lawrence-Doniach model of layered superconductors in a parallel field
[article]
2000
arXiv
pre-print
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Finally, we discuss the apparent conflict with previous results for finite-width samples, in which the minimizer in the small coupling regime takes the form of "vortex planes" (introduced by Theodorakis ...
We consider the Lawrence-Doniach model for layered superconductors, in which stacks of parallel superconducting planes are coupled via the Josephson effect. ...
Our explanation for this duality rests on the dependence of the interval of validity of the perturbative regime r ∼ 0 on the length of the sample size: the larger the sample, the smaller the interval in ...
arXiv:math/0010111v1
fatcat:swmqgjbctnfbvk4ccacyg66spu
Long-range magnetic interactions and proximity effects in an amorphous exchange-spring magnet
2016
Nature Communications
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Furthermore, Monte Carlo simulations show that nearest-neighbour magnetic interactions fall short in describing the observed effects and long-range magnetic interactions are needed to capture the extent ...
The results highlight the importance of considering the range of interactions in low-dimensional heterostructures and how magnetic proximity effects can be used to obtain new functionality. ...
DoE, Office of Science, Office of Basic Energy Sciences, under contract DE-AC02-98CH10886. ...
doi:10.1038/ncomms11931
pmid:27291298
pmcid:PMC4910021
fatcat:nl2mxq2frrht3j2ohfdrgv7n2y
A baroclinic quasigeostrophic open ocean model
1983
Journal of Computational Physics
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Two methods of treating the depth dependence of the flow, a finite difference method and a collocation method, are tested and intercompared. ...
Finally, we present a test of the model for a flow field which is of the nonlinear and quasiturbulent type more characteristic of the real ocean; this problem involves a test region embedded in ...
The computations were performed at the Goddard Laboratory of Atmospheric Sciences (NASA-GSFC); we are grateful for the use of this facility and for the help of the support staff. ...
doi:10.1016/0021-9991(83)90041-4
fatcat:vg7fgm77pjfz3lekmcjuusv5si
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