Prony’s Method, Z -Transforms, and Padé Approximation
LEONARD L. WEISS, Robert N. McDonough · SIAM Review · 1963
Previous article Next article Prony's Method, Z-Transforms, and Padé ApproximationL. Weiss and R. N. McDonoughL. Weiss and R. N. McDonoughhttps://doi.org/10.1137/1005035PDFBibTexSections ToolsAdd to favoritesExport CitationTrack CitationsEmail SectionsAbout[1] R. Prony, Essai expérimental et analytique, etc., Vol. 1, J. l'Ecole Polytechnique, Paris, 1795, 24–76, cahier 2, See also: D. F. Tuttle, Jr., Network Synthesis for Prescribed Transient Response, D. Sc, dissertation, Massachusetts Institute of Technology, 1948 Google Scholar[2] David F. Tuttle, Jr., Network synthesis. Vol. 1, John Wiley & Sons Inc., New York, 1958xv+1175 MR0107479 (21:6204) CrossrefGoogle Scholar[3] J. G. Truxal, Automatic Feedback Control System Synthesis, McGraw-Hill, New York, 1955 0134.09603 CrossrefGoogle Scholar Previous article Next article FiguresRelatedReferencesCited ByDetails Validated analysis of modulated signals: From de Prony to Padé and beyondJournal of Computational and Applied Mathematics, Vol. 413 | 1 Oct 2022 Cross Ref Study on Time Domain Simulation Model for Lossy Frequency-Dependent Single Transmission Line2021 International Conference on Power System Technology (POWERCON) | 8 Dec 2021 Cross Ref High-resolution at 3T for in vivo derivative NMR spectroscopy in medical diagnostics of ovarian tumor: exact quantification by shape estimationsJournal of Mathematical Chemistry, Vol. 59, No. 10 | 8 September 2021 Cross Ref Efficient flexibility identification method using structured target rank approximation and extended Prony's methodJournal of Sound and Vibration, Vol. 509 | 1 Sep 2021 Cross Ref Time domain electromagnetic response of a conductive and magnetic permeable sphere via exponential sums2021 21st International Conference on Computational Science and Its Applications (ICCSA) | 1 Sep 2021 Cross Ref Moment Identifiability of Homoscedastic Gaussian MixturesFoundations of Computational Mathematics, Vol. 21, No. 3 | 6 July 2020 Cross Ref Stable super-resolution of images: theoretical studyInformation and Inference: A Journal of the IMA, Vol. 10, No. 1 | 7 November 2020 Cross Ref Compressive Sensing: Methods, Techniques, and ApplicationsIOP Conference Series: Materials Science and Engineering, Vol. 1099, No. 1 | 1 Mar 2021 Cross Ref Quality Parameter Index Estimation for Compressive Sensing Based Sparse Audio Signal ReconstructionIOP Conference Series: Materials Science and Engineering, Vol. 1119, No. 1 | 1 Mar 2021 Cross Ref VEXPA: Validated EXPonential Analysis through regular sub-samplingSignal Processing, Vol. 177 | 1 Dec 2020 Cross Ref Learning algebraic decompositions using Prony structuresAdvances in Applied Mathematics, Vol. 118 | 1 Jul 2020 Cross Ref Efficient time‐domain numerical modelling of crosstalk between coaxial cables incorporating frequency‐dependent parametersIET Science, Measurement & Technology, Vol. 14, No. 4 | 1 June 2020 Cross Ref Regular Sparse Array Direction of Arrival Estimation in One DimensionIEEE Transactions on Antennas and Propagation, Vol. 68, No. 5 | 1 May 2020 Cross Ref Vector versions of Prony's algorithm and vector-valued rational approximationsAdvances in Computational Mathematics, Vol. 46, No. 2 | 19 March 2020 Cross Ref Variation Measurement of SNR and MSE for Musical Instruments Signal Compressed Using Compressive SensingRecent Trends in Communication and Intelligent Systems | 18 January 2020 Cross Ref Removal of Nuisance Signals in Electric Grid Disturbance Data2020 International SAUPEC/RobMech/PRASA Conference | 1 Jan 2020 Cross Ref Sparse Multidimensional Exponential Analysis with an Application to Radar ImagingAnnie Cuyt, Yuan Hou, Ferre Knaepkens, and Wen-shin LeeSIAM Journal on Scientific Computing, Vol. 42, No. 3 | 14 May 2020AbstractPDF (1909 KB)The Works of Peter WynnExtrapolation and Rational Approximation | 1 December 2020 Cross Ref Nonstationary Least-Squares Decomposition With Structural Constraint for Denoising Multi-Channel Seismic DataIEEE Transactions on Geoscience and Remote Sensing, Vol. 57, No. 12 | 1 Dec 2019 Cross Ref Whirl Flutter Analysis of a Free-Flying Electric-Driven Propeller AircraftJournal of Aircraft, Vol. 56, No. 2 | 1 Mar 2019 Cross Ref Fundamental understanding of propeller whirl flutter through multibody dynamicsAIAA Scitech 2019 Forum | 6 January 2019 Cross Ref The genesis and early developments of Aitken's process, Shanks' transformation, the ε–algorithm, and related fixed point methodsNumerical Algorithms, Vol. 80, No. 1 | 23 August 2018 Cross Ref Parametric Study of Propeller Whirl Flutter Stability with Full-Span Model of X-57 Maxwell AircraftJournal of Aircraft, Vol. 55, No. 6 | 1 Nov 2018 Cross Ref Decomposition of Dynamical Signals into Jumps, Oscillatory Patterns, and Possible OutliersMathematics, Vol. 6, No. 7 | 16 July 2018 Cross Ref Prony Method for Reconstruction of Structured FunctionsNumerical Fourier Analysis | 5 February 2019 Cross Ref Enhancing Prony's method by nuclear norm penalization and extension to missing dataSignal, Image and Video Processing, Vol. 11, No. 6 | 16 February 2017 Cross Ref Impedance eduction in the presence of turbulent shear flow using the linearized Navier-Stokes equations23rd AIAA/CEAS Aeroacoustics Conference | 2 June 2017 Cross Ref Multi-exponential Lifetime Extraction in Time-Logarithmic ScaleAdvances in Data Mining. 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