The lattice algorithm of linear prediction applied to the inverse scattering problem given transmission data

Author

Yagle, Andrew E.

Author_Institution

Dept. of Electr. Eng. & Comput. Sci., Michigan Univ., Ann Arbor, MI, USA

fYear

1988

fDate

11-14 Apr 1988

Firstpage

1655

Abstract

A layer-recursive algorithm is derived for reconstructing an equal-travel-time layered acoustic medium from its transmission response to an impulsive plane wave incident from below. The medium is bounded below by an infinite half-space from which it is probed, and it is bounded above by a free surface at which its transmission response is measured. This problem arises in the nondestructive evaluation of layered composite materials, in which the transmission response is measured. The algorithm is related to the lattice algorithm for computing the QR factorization of a matrix. The algorithm is related to the Levinson, fast Cholesky, and lattice algorithms, all of which are known fast algorithms for signal processing

Keywords

acoustic signal processing; filtering and prediction theory; Levinson algorithm; QR factorization; equal-travel-time layered acoustic medium; fast Cholesky algorithm; impulsive plane wave; inverse scattering; lattice algorithm; layer-recursive algorithm; linear prediction; nondestructive evaluation; signal processing; transmission data; transmission response; Acoustic reflection; Acoustic waves; Equations; Impedance; Inverse problems; Lattices; Matrix decomposition; Polynomials; Prediction algorithms; Signal processing algorithms;

fLanguage

English

Publisher

ieee

Conference_Titel

Acoustics, Speech, and Signal Processing, 1988. ICASSP-88., 1988 International Conference on

Conference_Location

New York, NY

ISSN

1520-6149

Type

conf

DOI

10.1109/ICASSP.1988.196931

Filename

196931