Phase retrieval in Fock space and perturbation of Liouville sets

Authors: Philipp Grohs, Lukas Liehr, Martin Rathmair

Source: Revista Matemática Iberoamericana. 41:969-1008

Subject Terms: Signal theory (characterization, reconstruction, filtering, etc.), phase retrieval, Bergman spaces and Fock spaces, Mathematics - Complex Variables, 101002 Analysis, Fock space, Functional Analysis (math.FA), phaseless sampling, Mathematics - Functional Analysis, 30H20, 46E22, 94A12, 94A20, lattices, Mathematics - Classical Analysis and ODEs, Classical Analysis and ODEs (math.CA), FOS: Mathematics, Liouville sets, Hilbert spaces with reproducing kernels (= (proper) functional Hilbert spaces, including de Branges-Rovnyak and other structured spaces), Complex Variables (math.CV), Sampling theory in information and communication theory

File Description: application/xml

Access URL: http://arxiv.org/abs/2308.00385
https://ucrisportal.univie.ac.at/de/publications/50c7e207-fe33-4267-b201-68b72c6464a9

Cardinality Constraint Non-Uniform Sampling for Maximizing Reconstruction Accuracy of Time-Varying Signals: Cardinality constraint non-uniform sampling for maximizing reconstruction accuracy of time-varying signals

Authors: Sakshi Pandey, Amit Banerjee

Source: IEEE Transactions on Information Theory. 70:6746-6756

Subject Terms: Signal theory (characterization, reconstruction, filtering, etc.), Applications of mathematical programming, polynomial time heuristic, cardinalIty constraint non-uniform sampling problem, least-cost branch-and-bound approximation, Sampling theory in information and communication theory

File Description: application/xml

Discrete Quaternion Quadratic Phase Fourier Transform: Discrete quaternion quadratic phase Fourier transform

Authors: Zayed, Mohra, Dar, Aamir H., Bhat, M. Younus

Source: Complex Analysis and Operator Theory. 19

Subject Terms: Fourier and Fourier-Stieltjes transforms and other transforms of Fourier type, fast algorithm, convolution, Nontrigonometric harmonic analysis involving wavelets and other special systems, Boolean functions, discrete quaternion quadratic phase Fourier transform, linear time-varying system, Sampling theory in information and communication theory

File Description: application/xml

Access URL: https://zbmath.org/8033584
https://doi.org/10.1007/s11785-025-01677-8

Phaseless Sampling on Square-Root Lattices: Phaseless sampling on square-root lattices

Authors: Grohs, Philipp, Liehr, Lukas

Source: Foundations of Computational Mathematics. 25:351-374

Subject Terms: Signal theory (characterization, reconstruction, filtering, etc.), sampling, square-root lattice, 32A60, 101002 Analysis, 02 engineering and technology, 01 natural sciences, 94A12, Fourier and Fourier-Stieltjes transforms and other transforms of Fourier type, 0202 electrical engineering, electronic engineering, information engineering, Classical Analysis and ODEs (math.CA), FOS: Mathematics, Complex Variables (math.CV), 0101 mathematics, Sampling, 32A15, 32A60, 94A12, 94A20, Phase retrieval, phase retrieval, Mathematics - Complex Variables, 32A15, time-frequency analysis, Functional Analysis (math.FA), Time-frequency analysis, Mathematics - Functional Analysis, 94A20, Square-root lattice, Mathematics - Classical Analysis and ODEs, short-time Fourier transform, Short-time Fourier transform, Image processing (compression, reconstruction, etc.) in information and communication theory, Sampling theory in information and communication theory

File Description: application/xml; application/pdf

Access URL: http://arxiv.org/abs/2209.11127
https://ucrisportal.univie.ac.at/de/publications/189f1347-845a-4319-9a08-b681dd7888ee
https://doi.org/10.1007/s10208-024-09640-3
https://phaidra.univie.ac.at/o:2082981
https://hdl.handle.net/11353/10.2082981
https://doi.org/10.1007/s10208-024-09640-3

Joint frequency and DOA estimation of sub-Nyquist sampling multi-band sources with unfolded coprime arrays

Authors: Xiangdong Huang, Xuecheng Zhao, Wei Lu

Source: Multidimensional Systems and Signal Processing. 33:1257-1272

Subject Terms: Signal theory (characterization, reconstruction, filtering, etc.), unfolded coprime arrays, sub-Nyquist sampling, frequency estimation, MWC, 0202 electrical engineering, electronic engineering, information engineering, DOA estimation, 02 engineering and technology, Sampling theory in information and communication theory

File Description: application/xml

Multi-window STFT phase retrieval: Lattice uniqueness: Multi-window STFT phase retrieval: lattice uniqueness

Authors: Liehr, Lukas, Grohs, Philipp, Rathmair, Martin

Source: Journal of Functional Analysis. 288:110733

Subject Terms: Signal theory (characterization, reconstruction, filtering, etc.), phase retrieval, Bergman spaces and Fock spaces, Mathematics - Complex Variables, 101002 Analysis, Gabor analysis, 01 natural sciences, Functional Analysis (math.FA), phaseless sampling, Mathematics - Functional Analysis, 30H20, 46E22, 94A12, 94A20, FOS: Mathematics, lattice-uniqueness, Hilbert spaces with reproducing kernels (= (proper) functional Hilbert spaces, including de Branges-Rovnyak and other structured spaces), 0101 mathematics, Complex Variables (math.CV), Sampling theory in information and communication theory

File Description: application/xml

Access URL: http://arxiv.org/abs/2207.10620
https://ucrisportal.univie.ac.at/de/publications/1a7e1a1b-8790-46db-b8ef-bfcb64490eb3
https://doi.org/10.48550/arXiv.2207.10620

Towards Probabilistic Robust and Sparsity-Free Compressive Sampling in Civil Engineering: A Review: Towards probabilistic robust and sparsity-free compressive sampling in civil engineering: a review

Authors: Haoyu Zhang, Shicheng Xue, Yong Huang, Hui Li

Source: Advances in Structural Stability and Dynamics ISBN: 9789819814763

Subject Terms: structural health monitoring, sparsity, Bayesian inference, 0202 electrical engineering, electronic engineering, information engineering, deep learning, Applications of statistics in engineering and industry, control charts, compressive sampling, generative model, 02 engineering and technology, Sampling theory in information and communication theory, 0201 civil engineering

File Description: application/xml

Access URL: https://zbmath.org/7847839
https://doi.org/10.1142/s021945542340028x

Reconstruction of Splines from Nonuniform Samples: Reconstruction of splines from nonuniform samples

Authors: Qingyue Zhang, Wenchang Sun

Source: Acta Mathematica Sinica, English Series. 35:245-256

Subject Terms: Signal theory (characterization, reconstruction, filtering, etc.), cardinal spline interpolation, nonuniform sampling, sampling set, General harmonic expansions, frames, 0101 mathematics, 01 natural sciences, Sampling theory in information and communication theory

File Description: application/xml

Access URL: https://zbmath.org/7043602
https://doi.org/10.1007/s10114-018-7531-x
https://link.springer.com/article/10.1007%2Fs10114-018-7531-x

Scalable antinoise-robustness estimation of frequency and direction of arrival based on the relaxed sparse array

Authors: Xiangdong Huang, Mengkai Yang, Huijie Wang, Jian Wang, Li Xiao

Source: Multidimensional Systems and Signal Processing. 30:1345-1361

Subject Terms: direction of arrival estimation, relaxed coprime array, antinoise robustness, frequency estimation, 0202 electrical engineering, electronic engineering, information engineering, undersampling, 02 engineering and technology, Sampling theory in information and communication theory

File Description: application/xml

Access URL: http://doi.org/10.1007/s11045-018-0607-z
https://link.springer.com/article/10.1007%2Fs11045-018-0607-z
https://dblp.uni-trier.de/db/journals/mssp/mssp30.html#HuangYWWX19
https://doi.org/10.1007/s11045-018-0607-z

Measuring and Improving Image Resolution by Adaptation of the Reciprocal Cell: Masuring and improving image resolution by adaptation of the reciprocal cell

Authors: Almansa, Andrés, Durand, Sylvain, Rougé, Bernard

Contributors: Durand, Sylvain

Source: Journal of Mathematical Imaging and Vision. 21:235-279

Subject Terms: sampling, restoration, [INFO.INFO-TS] Computer Science [cs]/Signal and Image Processing, aliasing, acquisition, [MATH.MATH-GM] Mathematics [math]/General Mathematics [math.GM], 02 engineering and technology, Computing methodologies for image processing, 01 natural sciences, 0104 chemical sciences, Image resolution, Shannon's sampling theorem, 0202 electrical engineering, electronic engineering, information engineering, Shannon, Image processing (compression, reconstruction, etc.) in information and communication theory, Sampling theory in information and communication theory, [SPI.SIGNAL] Engineering Sciences [physics]/Signal and Image processing, image resolution

File Description: application/xml; application/pdf

Access URL: https://hal.archives-ouvertes.fr/hal-00712142/file/AlmansaDurandRouge.pdf
https://hal.science/hal-00712157v1
https://hal.science/hal-00712142v1/document
https://doi.org/10.1023/b:jmiv.0000043739.51886.01
https://hal.science/hal-00712142v1

Sampling-interval-dependent synchronization of complex dynamical networks with distributed coupling delay

Authors: Zu-Xin Li, Ju H. Park

Source: Nonlinear Dynamics. 78:341-348

Subject Terms: Sampled-data control/observation systems, 0209 industrial biotechnology, sampled-data control, 0202 electrical engineering, electronic engineering, information engineering, Synchronization of solutions to ordinary differential equations, distributed delay, 02 engineering and technology, Small world graphs, complex networks (graph-theoretic aspects), synchronization, Sampling theory in information and communication theory, complex dynamical networks

File Description: application/xml

Access URL: https://link.springer.com/article/10.1007/s11071-014-1443-9

Quantized $H_{\infty }$ Control for Nonlinear Stochastic Time-Delay Systems With Missing Measurements: Quantized \(H_{\infty}\) control for nonlinear stochastic time-delay systems with missing measurements

Authors: Wang, Z, Shen, B, Shu, H, Wei, G

Source: IEEE Transactions on Automatic Control. 57:1431-1444

Subject Terms: 0209 industrial biotechnology, Stochastic systems, Digital control/observation systems, H-infinity control, \(H^\infty\)-control, 02 engineering and technology, Networked control systems (NCSs), Quantized control, Nonlinear systems, Data missing, Stochastic systems in control theory (general), Sampling theory in information and communication theory, Discrete time-delay systems

File Description: application/xml

Access URL: http://bura.brunel.ac.uk/bitstream/2438/6489/2/Fulltext.pdf
https://ieeexplore.ieee.org/document/6082385/
https://doi.org/10.1109/TAC.2011.2176362
https://dblp.uni-trier.de/db/journals/tac/tac57.html#WangSSW12
https://dspace.brunel.ac.uk/handle/2438/6489?mode=full
https://www.infona.pl/resource/bwmeta1.element.ieee-art-000006082385
https://bura.brunel.ac.uk/handle/2438/6489
http://bura.brunel.ac.uk/handle/2438/6489

Learning a function from noisy samples at a finite sparse set of points

Authors: Friedrich Pillichshammer, Andreas Hofinger

Source: Journal of Approximation Theory. 161:448-463

Subject Terms: Quasi-Monte Carlo methods, Mathematics(all), Numerical Analysis, Learning theory, Applied Mathematics, Learning and adaptive systems in artificial intelligence, Sampling theory, quasi-Monte Carlo methods, 01 natural sciences, regularization, learning theory, Regularization, 0101 mathematics, Sampling theory in information and communication theory, Analysis, sampling theory

File Description: application/xml

Access URL: https://zbmath.org/5655030
https://doi.org/10.1016/j.jat.2008.11.003
https://www.ricam.oeaw.ac.at/files/reports/05/rep05-23.pdf
https://core.ac.uk/display/82373293
https://www.ricam.oeaw.ac.at/publications/reports/05/rep05-23.pdf
https://www.sciencedirect.com/science/article/abs/pii/S0021904508002360
https://dialnet.unirioja.es/servlet/articulo?codigo=3077926
https://dblp.uni-trier.de/db/journals/jat/jat161.html#HofingerP09

Stronger Security Proofs for RSA and Rabin Bits: Stronger security proofs for RSA and Rabin bits.

Authors: Roger Fischlin, Claus-Peter Schnorr

Source: Lecture Notes in Computer Science ISBN: 9783540629757

Subject Terms: perfect pseudorandom number generator, RSA random number generator, RSA function, Rabin function, Cryptography, 0202 electrical engineering, electronic engineering, information engineering, 0102 computer and information sciences, 02 engineering and technology, 01 natural sciences, Sampling theory in information and communication theory

File Description: application/xml

Access URL: https://link.springer.com/content/pdf/10.1007%2F3-540-69053-0_19.pdf
https://link.springer.com/content/pdf/10.1007%2Fs001459910008.pdf
https://dblp.uni-trier.de/db/journals/joc/joc13.html#FischlinS00
https://doi.org/10.1007/s001459910008
https://link.springer.com/article/10.1007/s001459910008
https://link.springer.com/chapter/10.1007%2F3-540-69053-0_19
https://link.springer.com/content/pdf/10.1007%2F3-540-69053-0_19.pdf
https://rd.springer.com/chapter/10.1007/3-540-69053-0_19
https://link.springer.com/10.1007%2F3-540-69053-0_19
https://dblp.uni-trier.de/db/conf/eurocrypt/eurocrypt97.html#FischlinS97

Generalization of Results on Vector Sampling Expansion: Generalization of results on vector sampling expansion

Authors: M. Cohen, A. Feuer, Graham C. Goodwin

Source: IEEE Transactions on Signal Processing. 54:3805-3814

Subject Terms: 0202 electrical engineering, electronic engineering, information engineering, 02 engineering and technology, Sampling theory in information and communication theory

File Description: application/xml

Access URL: http://webee.technion.ac.il/people/feuer/JournalPapers/53_Vector_IEEESP.pdf
https://zbmath.org/6801724
https://doi.org/10.1109/tsp.2006.879310
https://dblp.uni-trier.de/db/journals/tsp/tsp54.html#FeuerGC06
https://doi.org/10.1109/TSP.2006.879310
https://webee.technion.ac.il/people/feuer/JournalPapers/53_Vector_IEEESP.pdf
http://ieeexplore.ieee.org/document/1703849/
https://ieeexplore.ieee.org/document/1703849/
https://ui.adsabs.harvard.edu/abs/2006ITSP...54.3805F/abstract

Classical and approximate sampling theorems; studies in the LP(R) and the uniform norm: Classical and approximate sampling theorems; studies in the \(L^{p}(\mathbb R)\) and the uniform norm

Authors: R. L. Stens, J. R. Higgins, Paul L. Butzer

Source: Journal of Approximation Theory. 137:250-263

Subject Terms: Signal theory (characterization, reconstruction, filtering, etc.), sampling theorem, 4. Education, Approximation by operators (in particular, by integral operators), Remainders in approximation formulas, Sampling theory, Approximation by discrete operators, discrete operators, 0101 mathematics, Signal theory, approximation, 01 natural sciences, Sampling theory in information and communication theory

File Description: application/xml

Sampling theory associated withq-difference equations of the Sturm–Liouville type: Sampling theory associated with \(q\)-difference equations of the Sturm-Lioville type

Authors: Abreu, Luís Daniel

Source: Journal of Physics A: Mathematical and General. 38:10311-10319

Subject Terms: second-order \(q\)-Sturm-Liouville boundary problem, q-difference equations, Sturm-Liouville systems, Basic hypergeometric functions in one variable, \({}_r\phi_s\), 4. Education, Difference equations, scaling (\(q\)-differences), 0101 mathematics, Sampling theorem, 16. Peace & justice, 01 natural sciences, Sampling theory in information and communication theory, \(q\)-Wronskian

File Description: application/xml

Access URL: https://iopscience.iop.org/article/10.1088/0305-4470/38/48/005
https://estudogeral.sib.uc.pt/handle/10316/11382
http://www.mat.uc.pt/preprints/ps/p0522.pdf
http://iopscience.iop.org/0305-4470/38/48/005
https://ui.adsabs.harvard.edu/abs/2005JPhA...3810311A/abstract
https://hdl.handle.net/10316/11382

Shannon sampling II: Connections to learning theory: Shannon sampling. II: Connections to learning theory

Authors: Ding-Xuan Zhou, Steve Smale

Source: Applied and Computational Harmonic Analysis. 19:285-302

Subject Terms: sampling theorem, Learning theory, Linear regression, mixed models, frame, Applied Mathematics, Learning and adaptive systems in artificial intelligence, Computational learning theory, Computing methodologies for image processing, 01 natural sciences, Function reconstruction, Frames, Shannon sampling, Fourier and Fourier-Stieltjes transforms and other transforms of Fourier type, learning theory, Reproducing kernel Hilbert space, Hilbert spaces with reproducing kernels (= (proper) functional Hilbert spaces, including de Branges-Rovnyak and other structured spaces), 0101 mathematics, function reconstruction, reproducing kernel Hilbert space, Sampling theory in information and communication theory, Interpolation in approximation theory

File Description: application/xml

Access URL: https://core.ac.uk/display/82358396
https://www.sciencedirect.com/science/article/pii/S1063520305000540
http://www.sciencedirect.com/science/article/pii/S1063520305000540
https://scholars.cityu.edu.hk/en/publications/publication(e65f08f5-e01c-49e5-8207-10cbe2c18921).html

On the aliasing error in wavelet subspaces

Authors: G. Pérez-Villalón, Antonio G. García

Source: Journal of Computational and Applied Mathematics. 183:153-167

Subject Terms: Computational Mathematics, Applied Mathematics, 0202 electrical engineering, electronic engineering, information engineering, regular sampling in wavelet subspaces, Nontrigonometric harmonic analysis involving wavelets and other special systems, aliasing error, 02 engineering and technology, Sampling theory in information and communication theory, multiresolution analysis

File Description: application/xml

Access URL: https://zbmath.org/2198620
https://doi.org/10.1016/j.cam.2005.01.009
http://gauss.uc3m.es/web/personal_web/agarcia/papers/05jcam.pdf
https://www.sciencedirect.com/science/article/pii/S0377042705000221
http://ui.adsabs.harvard.edu/abs/2005JCoAM.183..153G/abstract
https://www.sciencedirect.com/science/article/abs/pii/S0377042705000221

VARIABLE SAMPLING OF THE EMPIRICAL MODE DECOMPOSITION OF TWO-DIMENSIONAL SIGNALS: Variable sampling of the empirical mode decomposition of two-dimensional signals

Authors: Anna Linderhed

Source: International Journal of Wavelets, Multiresolution and Information Processing. :435-452

Subject Terms: Signal theory (characterization, reconstruction, filtering, etc.), sampling, empiquency, 0202 electrical engineering, electronic engineering, information engineering, 02 engineering and technology, Image processing (compression, reconstruction, etc.) in information and communication theory, empirical mode decomposition, time-frequency analysis, Sampling theory in information and communication theory, image processing, sequency

File Description: application/xml

Access URL: https://zbmath.org/2229336
https://doi.org/10.1142/s0219691305000932
https://www.worldscientific.com/doi/abs/10.1142/S0219691305000932
http://aquador.vovve.net/IEMD/emd-samp.pdf
http://dblp.uni-trier.de/db/journals/ijwmip/ijwmip3.html#Linderhed05
https://dblp.uni-trier.de/db/journals/ijwmip/ijwmip3.html#Linderhed05