Exponential data fitting

[1]  Gene H. Golub,et al.  The differentiation of pseudo-inverses and non-linear least squares problems whose variables separate , 1972, Milestones in Matrix Computation.

[2]  Peter J. Fleming,et al.  A connectionist approach to PID autotuning , 1991 .

[3]  Carl E. Baum,et al.  The singularity expansion method and its application to target identification , 1991, Proc. IEEE.

[4]  Henry Leung,et al.  Tracking the direction-of-arrival of multiple moving targets by passive arrays: algorithm , 1999, IEEE Trans. Signal Process..

[5]  Benjamin Friedlander,et al.  Sensitivity analysis of the maximum likelihood direction-finding algorithm , 1990 .

[6]  T. Sarkar,et al.  Using the matrix pencil method to estimate the parameters of a sum of complex exponentials , 1995 .

[7]  J. Varah.  On Fitting Exponentials by Nonlinear Least Squares , 1982 .

[8]  Peyman Milanfar,et al.  Optimal Registration Of Aliased Images Using Variable Projection With Applications To Super-Resolution , 2008, Comput. J..

[9]  R. O. Schmidt,et al.  Multiple emitter location and signal Parameter estimation , 1986 .

[10]  J. Marque,et al.  Pressure effects on the photocycle of purple membrane. , 1984, Biochemistry.

[11]  Gonzalo R. Arce,et al.  Piecewise linear system modeling based on a continuous threshold decomposition , 1996, IEEE Trans. Signal Process..

[12]  Raj Mittra,et al.  Problems and solutions associated with Prony's method for processing transient data , 1978 .

[13]  Thomas Kailath,et al.  ESPRIT-estimation of signal parameters via rotational invariance techniques , 1989, IEEE Trans. Acoust. Speech Signal Process..

[14]  John E. Dennis,et al.  Algorithm 573: NL2SOL—An Adaptive Nonlinear Least-Squares Algorithm [E4] , 1981, TOMS.

[15]  A. Istratov,et al.  Exponential analysis in physical phenomena , 1999 .

[16]  James A. Cadzow,et al.  Multiple source location-the signal subspace approach , 1990, IEEE Trans. Acoust. Speech Signal Process..

[17]  V. Pereyra,et al.  Least Squares Estimation for a Class of Non-Linear Models , 1973 .

[18]  K. Arun,et al.  State-space and singular-value decomposition-based approximation methods for the harmonic retrieval problem , 1983 .

[19]  Gordon K. Smyth,et al.  A Modified Prony Algorithm for Exponential Function Fitting , 1995, SIAM J. Sci. Comput..

[20]  Gene H. Golub,et al.  Matrix computations , 1983 .

[21]  Bhaskar D. Rao,et al.  Model based processing of signals: a state space approach , 1992, Proc. IEEE.

[22]  J. P. Burg,et al.  Maximum entropy spectral analysis. , 1967 .

[23]  Georges Bienvenu,et al.  Adaptivity to background noise spatial coherence for high resolution passive methods , 1980, ICASSP.

[24]  R. Kumaresan,et al.  Superresolution by structured matrix approximation , 1988 .

[25]  Per Christian Hansen,et al.  Rank-Deficient and Discrete Ill-Posed Problems , 1996 .

[26]  G. Golub,et al.  Separable nonlinear least squares: the variable projection method and its applications , 2003 .

[27]  Víctor Pereyra,et al.  Variable projections neural network training , 2006, Math. Comput. Simul..

[28]  J. Capon.  High-resolution frequency-wavenumber spectrum analysis , 1969 .

[29]  Åke Björck,et al.  Numerical methods for least square problems , 1996 .

[30]  P. Vandewalle.  Super-resolution from unregistered aliased images , 2006 .

[31]  Sabine Van Huffel,et al.  The total least squares problem , 1993 .

[32]  Fred T. Krogh,et al.  Efficient implementation of a variable projection algorithm for nonlinear least squares problems , 1974, CACM.

[33]  Michael R. Osborne,et al.  SEPARABLE LEAST SQUARES, VARIABLE PROJECTION, AND THE GAUSS-NEWTON ALGORITHM ∗ , 2007 .

[34]  Hans Bruun Nielsen.  UCTP - Test Problems for Unconstrained Optimization , 2000 .

[35]  Gregory Beylkin,et al.  On Generalized Gaussian Quadratures for Exponentials and Their Applications , 2002 .

[36]  R. Shrager,et al.  Some pitfalls in curve-fitting and how to avoid them: a case in point. , 1998, Journal of Biochemical and Biophysical Methods.

[37]  M. Viberg,et al.  Separable non-linear least-squares minimization-possible improvements for neural net fitting , 1997, Neural Networks for Signal Processing VII. Proceedings of the 1997 IEEE Signal Processing Society Workshop.

[38]  J. Lilleberg,et al.  Blind iterative multiuser delay estimator for CDMA , 1996, Proceedings of PIMRC '96 - 7th International Symposium on Personal, Indoor, and Mobile Communications.

[39]  C. Lanczos.  Applied Analysis , 1961 .

[40]  G. Beylkin,et al.  On approximation of functions by exponential sums , 2005 .

[41]  Sabine Van Huffel,et al.  Exponential data fitting using multilinear algebra: the single‐channel and multi‐channel case , 2005, Numer. Linear Algebra Appl..

[42]  Martin J. Mohlenkamp,et al.  Numerical operator calculus in higher dimensions , 2002, Proceedings of the National Academy of Sciences of the United States of America.

[43]  M. R. Osborne.  Some Special Nonlinear Least Squares Problems , 1975 .

[44]  Víctor Pereyra,et al.  Fast computation of equispaced Pareto manifolds and Pareto fronts for multiobjective optimization problems , 2009, Math. Comput. Simul..

[45]  W. Stoeckenius,et al.  Bacteriorhodopsin: a light-driven proton pump in Halobacterium Halobium. , 1975, Biophysical journal.

[46]  A. Paulraj,et al.  Blind estimation of multiple co-channel digital signals using an antenna array , 1994, IEEE Signal Processing Letters.

[47]  S. F. Bowne,et al.  THE EFFECT OF VISCOSITY ON THE PHOTOCYCLE OF BACTERIORHODOPSIN , 1981 .