Adcock, Ben, and Anders C. Hansen. 2016.
βGeneralized Sampling and Infinite-Dimensional Compressed Sensing.β Foundations of Computational Mathematics 16 (5): 1263β323.
Adcock, Ben, Anders C. Hansen, and Bogdan Roman. 2015.
βThe Quest for Optimal Sampling: Computationally Efficient, Structure-Exploiting Measurements for Compressed Sensing.β In
Compressed Sensing and Its Applications: MATHEON Workshop 2013, edited by Holger Boche, Robert Calderbank, Gitta Kutyniok, and Jan VybΓral, 143β67. Applied and Numerical Harmonic Analysis. Cham: Springer International Publishing.
Adcock, Ben, Anders Hansen, Bogdan Roman, and Gerd Teschke. 2014.
βGeneralized Sampling: Stable Reconstructions, Inverse Problems and Compressed Sensing over the Continuum.β In
Advances in Imaging and Electron Physics, edited by Peter W. Hawkes, 182:187β279. Elsevier.
Babu, Prabhu, and Petre Stoica. 2010.
βSpectral Analysis of Nonuniformly Sampled Data β a Review.β Digital Signal Processing 20 (2): 359β78.
Baisch, Stefan, and GΓΆtz H. R. Bokelmann. 1999.
βSpectral Analysis with Incomplete Time Series: An Example from Seismology.β Computers & Geosciences 25 (7): 739β50.
Bartlett, M. S. 1946.
βOn the Theoretical Specification and Sampling Properties of Autocorrelated Time-Series.β Supplement to the Journal of the Royal Statistical Society 8 (1): 27β41.
Borcea, Liliana, Vladimir Druskin, and Leonid Knizhnerman. 2005.
βOn the Continuum Limit of a Discrete Inverse Spectral Problem on Optimal Finite Difference Grids.β Communications on Pure and Applied Mathematics 58 (9): 1231β79.
Bostan, E., U. S. Kamilov, M. Nilchian, and M. Unser. 2013.
βSparse Stochastic Processes and Discretization of Linear Inverse Problems.β IEEE Transactions on Image Processing 22 (7): 2699β2710.
BrΓ©maud, Pierre, Laurent MassouliΓ©, and Andrea Ridolfi. 2005.
βPower Spectra of Random Spike Fields and Related Processes.β Advances in Applied Probability 37 (4): 1116β46.
BretΓ³, Carles, Daihai He, Edward L. Ionides, and Aaron A. King. 2009.
βTime Series Analysis via Mechanistic Models.β The Annals of Applied Statistics 3 (1): 319β48.
Broersen, P. M. T., and R. Bos. 2006.
βEstimating Time-Series Models from Irregularly Spaced Data.β In
IEEE Transactions on Instrumentation and Measurement, 55:1124β31.
Broersen, Petrus MT. 2006.
Automatic Autocorrelation and Spectral Analysis. Secaucus, NJ, USA: Springer.
Broersen, Piet M. T. 2005.
βTime Series Analysis for Irregularly Sampled Data.β IFAC Proceedings Volumes, 16th IFAC World Congress, 38 (1): 154β59.
Broersen, Piet M. T., Stijn de Waele, and Robert Bos. 2004.
βAutoregressive Spectral Analysis When Observations Are Missing.β Automatica 40 (9): 1495β1504.
Cochran, W.T., James W. Cooley, D.L. Favin, H.D. Helms, R.A. Kaenel, W.W. Lang, Jr. Maling G.C., D.E. Nelson, C.M. Rader, and Peter D. Welch. 1967.
βWhat Is the Fast Fourier Transform?β Proceedings of the IEEE 55 (10): 1664β74.
DβAmbrogi, Barbara, Sari MΓ€enpÀÀ, and Markku Markkanen. 1999.
βDiscretization Independent Retrieval of Atmospheric Ozone Profile.β Geophysica 35 (1-2): 87β99.
Dumitrescu, Bogdan. 2017.
Positive trigonometric polynomials and signal processing applications. Second edition. Signals and communication technology. Cham: Springer.
Eldar, Y. C., and A. V. Oppenheim. 2000.
βFilterbank Reconstruction of Bandlimited Signals from Nonuniform and Generalized Samples.β IEEE Transactions on Signal Processing 48 (10): 2864β75.
Feichtinger, Hans G., and Karlheinz GrΓΆchenig. 1989.
βMultidimensional Irregular Sampling of Band-Limited Functions in Lp-Spaces.β In
Multivariate Approximation Theory IV, 135β42. International Series of Numerical Mathematics / Internationale Schriftenreihe Zur Numerischen Mathematik / SΓ©rie Internationale dβAnalyse NumΓ©rique. BirkhΓ€user Basel.
βββ. 1994.
βTheory and Practice of Irregular Sampling.β Wavelets: Mathematics and Applications 1994: 305β63.
Feichtinger, Hans G., Karlheinz GrΓΆchenig, and Thomas Strohmer. 1995.
βEfficient Numerical Methods in Non-Uniform Sampling Theory.β Numerische Mathematik 69 (4): 423β40.
Feichtinger, Hans G., and Thomas Strohmer. 1992.
βFast Iterative Reconstruction of Band-Limited Images from Non-Uniform Sampling Values.β In
SpringerLink, 231:82β89. Springer Berlin Heidelberg.
Feichtinger, Hans G., and Thomas Werther. 2000.
βImproved Locality for Irregular Sampling Algorithms.β In
IEEE International Conference on Acoustics, Speech, and Signal Processing, 2000. ICASSP β00. Proceedings, 6:3834β3837 vol.6.
Finzi, Marc, Roberto Bondesan, and Max Welling. 2020.
βProbabilistic Numeric Convolutional Neural Networks.β arXiv:2010.10876 [Cs], October.
GarcΓa, Antonio G. 2002.
βA Brief Walk Through Sampling Theory.β In
Advances in Imaging and Electron Physics, edited by Peter W. Hawkes, 124:63β137. Elsevier.
Gray, R. 1984.
βVector Quantization.β IEEE ASSP Magazine 1 (2): 4β29.
Greengard, L., and J. Lee. 2004.
βAccelerating the Nonuniform Fast Fourier Transform.β SIAM Review 46 (3): 443β54.
GrΓΆchenig, Karlheinz. 1992.
βReconstruction Algorithms in Irregular Sampling.β Mathematics of Computation 59 (199): 181β94.
βββ. 1993.
βA Discrete Theory of Irregular Sampling.β Linear Algebra and Its Applications 193 (November): 129β50.
Jones, Richard H. 1981. βFitting a Continuous Time Autoregression to Discrete Data.β In Applied Time Series Analysis II, 651β82.
βββ. 1984.
βFitting Multivariate Models to Unequally Spaced Data.β In
Time Series Analysis of Irregularly Observed Data, 158β88. Springer.
Kazhdan, Michael, Matthew Bolitho, and Hugues Hoppe. 2006.
βPoisson Surface Reconstruction.β In
SGP06: Eurographics Symposium on Geometry Processing, 1:0. The Eurographics Association.
Lahalle, E., G. Fleury, and A. Rivoira. 2004.
βContinuous ARMA Spectral Estimation from Irregularly Sampled Observations.β In
Proceedings of the 21st IEEE Instrumentation and Measurement Technology Conference, 2004. IMTC 04, 2:923β927 Vol.2.
Lasanen, Sari. 2002. βDiscretizations of Generalized Random Variables with Applications to Inverse Problems.β
Lassas, Matti, Eero Saksman, and Samuli Siltanen. 2009.
βDiscretization-Invariant Bayesian Inversion and Besov Space Priors.β Inverse Problems and Imaging 3 (1): 87β122.
Lii, Keh-Shin, and Elias Masry. 1992.
βModel Fitting for Continuous-Time Stationary Processes from Discrete-Time Data.β Journal of Multivariate Analysis 41 (1): 56β79.
Luschgy, H. 1996.
βLinear Estimators and Radonifying Operators.β Theory of Probability & Its Applications 40 (1): 167β75.
Mandelbaum, Avi. 1984.
βLinear Estimators and Measurable Linear Transformations on a Hilbert Space.β Zeitschrift FΓΌr Wahrscheinlichkeitstheorie Und Verwandte Gebiete 65 (3): 385β97.
Maravic, I., and M. Vetterli. 2005.
βSampling and Reconstruction of Signals with Finite Rate of Innovation in the Presence of Noise.β IEEE Transactions on Signal Processing 53 (8): 2788β2805.
Martin, R. J. 1998.
βAutoregression and Irregular Sampling: Filtering.β Signal Processing 69 (3): 229β48.
βββ. 1999.
βAutoregression and Irregular Sampling: Spectral Estimation.β Signal Processing 77 (2): 139β57.
Marvasti, F. A., and L. Chuande. 1990.
βParseval Relationship of Nonuniform Samples of One- and Two-Dimensional Signals.β IEEE Transactions on Acoustics, Speech, and Signal Processing 38 (6): 1061β63.
Marvasti, F., M. Analoui, and M. Gamshadzahi. 1991.
βRecovery of Signals from Nonuniform Samples Using Iterative Methods.β IEEE Transactions on Signal Processing 39 (4): 872β78.
Marvasti, Farokh. 2012. Nonuniform Sampling: Theory and Practice. Springer Science & Business Media.
Marziliano, P., M. Vetterli, and T. Blu. 2006.
βSampling and Exact Reconstruction of Bandlimited Signals with Additive Shot Noise.β IEEE Transactions on Information Theory 52 (5): 2230β33.
Matheron, G. 1973.
βThe Intrinsic Random Functions and Their Applications.β Advances in Applied Probability 5 (3): 439β68.
McCrorie, J. Roderick. 2002.
βThe Likelihood of the Parameters of a Continuous Time Vector Autoregressive Model.β Statistical Inference for Stochastic Processes 5 (3): 273β86.
Mishali, M., and Y. C. Eldar. 2009.
βBlind Multiband Signal Reconstruction: Compressed Sensing for Analog Signals.β IEEE Transactions on Signal Processing 57 (3): 993β1009.
Mishali, Moshe, and Yonina C. Eldar. 2010.
βFrom Theory to Practice: Sub-Nyquist Sampling of Sparse Wideband Analog Signals.β IEEE Journal of Selected Topics in Signal Processing 4 (2): 375β91.
Murray-Smith, Roderick, and Barak A. Pearlmutter. 2005.
βTransformations of Gaussian Process Priors.β In
Deterministic and Statistical Methods in Machine Learning, edited by Joab Winkler, Mahesan Niranjan, and Neil Lawrence, 110β23. Lecture Notes in Computer Science. Springer Berlin Heidelberg.
NiinimΓ€ki, K., S. Siltanen, and V. Kolehmainen. 2007.
βBayesian multiresolution method for local tomography in dental x-ray imaging.β Physics in Medicine and Biology 52 (22): 6663β78.
OβCallaghan, Simon Timothy, and Fabio T. Ramos. 2011.
βContinuous Occupancy Mapping with Integral Kernels.β In
Twenty-Fifth AAAI Conference on Artificial Intelligence.
Papavasiliou, Anastasia, and Kasia B. Taylor. 2016.
βApproximate Likelihood Construction for Rough Differential Equations.β arXiv:1612.02536 [Math, Stat], December.
Piroddi, Roberta, and Maria Petrou. 2004.
βAnalysis of Irregularly Sampled Data: A Review.β In
Advances in Imaging and Electron Physics, 132:109β65. Advances in Imaging and Electron Physics. Elsevier.
SΓ€rkkΓ€, Simo. 2007.
βOn Unscented Kalman Filtering for State Estimation of Continuous-Time Nonlinear Systems.β IEEE Transactions on Automatic Control 52 (9): 1631β41.
Scargle, Jeffrey D. 1981. βStudies in Astronomical Time Series Analysis. I-Modeling Random Processes in the Time Domain.β The Astrophysical Journal Supplement Series 45: 1β71.
Smith, Julius O. 2018.
βDigital Audio Resampling Home Page.β Center for Computer Research in Music and Acoustics (CCRMA), Stanford University.
Stark, Jaroslav. 2001.
βDelay Reconstruction: Dynamics Versus Statistics.β In
Nonlinear Dynamics and Statistics, edited by Alistair I. Mees, 81β103. BirkhΓ€user Boston.
Sun, Qiyu, and Michael Unser. 2012.
βLeft-Inverses of Fractional Laplacian and Sparse Stochastic Processes.β Advances in Computational Mathematics 36 (3): 399β441.
Tan, V. Y. F., and V. K. Goyal. 2008.
βEstimating Signals With Finite Rate of Innovation From Noisy Samples: A Stochastic Algorithm.β IEEE Transactions on Signal Processing 56 (10): 5135β46.
Tarczynski, A., and N. Allay. 2004.
βSpectral Analysis of Randomly Sampled Signals: Suppression of Aliasing and Sampler Jitter.β IEEE Transactions on Signal Processing 52 (12): 3324β34.
Tobar, Felipe. 2019.
βBand-Limited Gaussian Processes: The Sinc Kernel.β Advances in Neural Information Processing Systems 32: 12749β59.
Tropp, J., J.N. Laska, M.F. Duarte, J.K. Romberg, and R.G. Baraniuk. 2010. βBeyond Nyquist: Efficient Sampling of Bandlimited Signals.β IEEE Transactions on Information Theory 56: 1β26.
Unser, M. 1999.
βSplines: A Perfect Fit for Signal and Image Processing.β IEEE Signal Processing Magazine 16 (6): 22β38.
βββ. 2000.
βSampling: 50 Years After Shannon.β Proceedings of the IEEE 88 (4): 569β87.
βββ. 2015.
βSampling and (Sparse) Stochastic Processes: A Tale of Splines and Innovation.β In
2015 International Conference on Sampling Theory and Applications (SampTA), 221β25.
Unser, Michael A. 1995. βGeneral Hilbert Space Framework for the Discretization of Continuous Signal Processing Operators.β In Wavelet Applications in Signal and Image Processing III, 2569:51β62. International Society for Optics and Photonics.
Unser, Michael A., and Pouya Tafti. 2014.
An Introduction to Sparse Stochastic Processes. New York: Cambridge University Press.
Unser, Michael, and Akram Aldroubi. 1992.
βPolynomial Splines and Wavelets-A Signal Processing Perspective.β In
Wavelets, edited by Charles K Chui, 2:91β122. Wavelet Analysis and Its Applications. San Diego: Academic Press.
βββ. 1994. βA General Sampling Theory for Nonideal Acquisition Devices.β IEEE Transactions on Signal Processing 42 (11): 2915β25.
Unser, M., P. D. Tafti, A. Amini, and H. Kirshner. 2014.
βA Unified Formulation of Gaussian Vs Sparse Stochastic Processes - Part II: Discrete-Domain Theory.β IEEE Transactions on Information Theory 60 (5): 3036β51.
Unser, M., P. D. Tafti, and Q. Sun. 2014.
βA Unified Formulation of Gaussian Vs Sparse Stochastic ProcessesβPart I: Continuous-Domain Theory.β IEEE Transactions on Information Theory 60 (3): 1945β62.
Vetterli, M., P. Marziliano, and T. Blu. 2002.
βSampling Signals with Finite Rate of Innovation.β IEEE Transactions on Signal Processing 50 (6): 1417β28.
Wolfe, Stephen James. 1982.
βOn a Continuous Analogue of the Stochastic Difference Equation Xn=[rho]Xn-1+Bn.β Stochastic Processes and Their Applications 12 (3): 301β12.
Yadrenko, Mikhail Iosifovich. 1983. Spectral theory of random fields. Translation series in mathematics and engineering. New York, NY: Optimization Software.
Yaglom, A. M. 1987. Correlation Theory of Stationary and Related Random Functions. Volume II: Supplementary Notes and References. Springer Series in Statistics. New York, NY: Springer Science & Business Media.
No comments yet. Why not leave one?