An inverse scattering framework for several problems in signal processing

作者: A. Bruckstein , T. Kailath

DOI: 10.1109/MASSP.1987.1165567

关键词: Inverse problemImpulse responseRealization (systems)Digital filterAlgorithmMathematicsSignal processingInverse scattering problemLinear predictionTheoretical computer scienceLanczos resamplingGeneral Engineering

摘要: … layered scattering media.and the section on examples of scattering media presents several important models … coefficient matrices that are the sum of a Toeplitz and a Hankel matrix, the …

参考文章(28)
A. Bultheel, K. U. Leuven, Error analysis of incoming and outgoing schemes for the trigonometric moment problem Lecture Notes in Mathematics. pp. 100- 109 ,(1981) , 10.1007/BFB0095579
I. Koltracht, P. Lancaster, Condition Numbers of Toeplitz and Block Toeplitz Matrices I. Schur Methods in Operator Theory and Signal Processing. pp. 271- 300 ,(1986) , 10.1007/978-3-0348-5483-2_11
I. Schur, On Power Series Which are Bounded in the Interior of the Unit Circle. I I. Schur Methods in Operator Theory and Signal Processing. pp. 31- 59 ,(1986) , 10.1007/978-3-0348-5483-2_3
M. Morf, Doubling algorithms for Toeplitz and related equations international conference on acoustics, speech, and signal processing. ,vol. 5, pp. 954- 959 ,(1980) , 10.1109/ICASSP.1980.1171074
J. Schur, Über Potenzreihen, die im Innern des Einheitskreises beschränkt sind. Crelle's Journal. ,vol. 147, pp. 122- 145 ,(1917)
E.A. Robinson, Spectral approach to geophysical inversion by Lorentz, Fourier, and Radon transforms Proceedings of the IEEE. ,vol. 70, pp. 1039- 1054 ,(1982) , 10.1109/PROC.1982.12432
Richard P Brent, Fred G Gustavson, David Y.Y Yun, Fast solution of toeplitz systems of equations and computation of Padé approximants Journal of Algorithms. ,vol. 1, pp. 259- 295 ,(1980) , 10.1016/0196-6774(80)90013-9
T. Kailath, A. Bruckstein, D. Morgan, Fast matrix factorizations via discrete transmission lines Linear Algebra and its Applications. ,vol. 75, pp. 1- 25 ,(1986) , 10.1016/0024-3795(86)90178-3
A. M. Bruckstein, T. Kailath, Inverse Scattering for Discrete Transmission-Line Models SIAM Review. ,vol. 29, pp. 359- 389 ,(1987) , 10.1137/1029075
A. M. Bruckstein, I. Koltracht, T. Kailath, Inverse Scattering with Noisy Data SIAM Journal on Scientific and Statistical Computing. ,vol. 7, pp. 1331- 1349 ,(1986) , 10.1137/0907088