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1	Parameter estimation for nonincreasing exponential sums by Prony-like methods Potts, Daniel, Tasche, Manfred 02 May 2012 (has links) (PDF) For noiseless sampled data, we describe the close connections between Prony--like methods, namely the classical Prony method, the matrix pencil method and the ESPRIT method. Further we present a new efficient algorithm of matrix pencil factorization based on QR decomposition of a rectangular Hankel matrix. The algorithms of parameter estimation are also applied to sparse Fourier approximation and nonlinear approximation. Parameterschätzung Prony-like Methoden Fourier Approximation Parameter estimation nonincreasing exponential sum Prony-like method exponential fitting problem ESPRIT matrix pencil factorization companion matrix Prony polynomial eigenvalue problem rectangular Hankel matrix nonlinear approximation sparse trigonometric polynomial sparse Fourier approximation AMS SC: 65D10 41A45 65F15 65F20 94A12 ddc:515 Parameterschätzung Hankel-Matrix
2	Parameter estimation for nonincreasing exponential sums by Prony-like methods Potts, Daniel, Tasche, Manfred January 2012 (has links) For noiseless sampled data, we describe the close connections between Prony--like methods, namely the classical Prony method, the matrix pencil method and the ESPRIT method. Further we present a new efficient algorithm of matrix pencil factorization based on QR decomposition of a rectangular Hankel matrix. The algorithms of parameter estimation are also applied to sparse Fourier approximation and nonlinear approximation. info:eu-repo/classification/ddc/515 ddc:515 Parameterschätzung; Hankel-Matrix

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Parameter estimation for nonincreasing exponential sums by Prony-like methods

Parameter estimation for nonincreasing exponential sums by Prony-like methods