1983
DOI: 10.1121/1.389262
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Inverse methods in the reconstruction of acoustical impedance profiles

Abstract: Three methods for the reconstruction of inhomogeneities in a one-dimensional lossless medium from incident and reflected wave signals are presente d in this paper: the method of characteristics, the Gel'fand-Levitan method, and the newly developed method of iterative local regulization. Reconstructed results from numerical experiments are compared with emphasis on inversion in the presence of noise, and on general excitations. An error analysis and a study of computation requirements are also presented.

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Cited by 16 publications
(5 citation statements)
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“…We utilize Goupillaud solution cited in Ware and Aki,12) in which the readers can find the algorithm has equivalent meanings to solve the integral equation of Eq. (13). The authors strongly recommend the readers to refer their original paper, although we summarize the algorithm in the following section in connection with the application for measurements of ear canal area functions.…”
Section: Introductionmentioning
confidence: 99%
“…We utilize Goupillaud solution cited in Ware and Aki,12) in which the readers can find the algorithm has equivalent meanings to solve the integral equation of Eq. (13). The authors strongly recommend the readers to refer their original paper, although we summarize the algorithm in the following section in connection with the application for measurements of ear canal area functions.…”
Section: Introductionmentioning
confidence: 99%
“…We solve the coupled hyperbolic equations (5) and (6) by the method of characteristics. Our basic approach is similar to the inverse scattering approach of Santosa and Schwetlick (1982), Schwetlick (1983) and Bube and Burridge (1983).…”
Section: Wave Scattering Methodsmentioning
confidence: 99%
“…이중 고해상도 의 신호를 얻기 위한 Chirp sonar는 LeBlanc과 Mayer 연구진 에 의해 Chirp sonar 시스템이 개발된 후 해저 지형의 표층 및 매설물 탐지, 퇴적물의 특성 분석 등 다양한 분야에서 응용 연 구되고 있다 (Tolsma, 2004 (Lurton, 2002;Tolsma, 2004;Rakotonarivo et al, 2011;Schwetlick, 1983). 공진 주파수로 변조된 수신 신호에 포락선 검파를 하는 일반적인 지층의 분석 방법은 반사된 sonar 신호 의 펄스폭에 따른 거리 해상도의 한계가 존재한다 (Lurton, 2002;Tolsma, 2004).…”
Section: 해저지층탐사를 위하여 일반적으로 사용되는 송신 신호는unclassified
“…1917년 I. Schur에 의해 제안된 Schur 알고리즘은 (Kailath, 1987) Multirate 신호처리 (Vetterli, 1987;Vaidyanathan, 1993), 역 산란 문제 (Bruckstein and Kailath, 1987), 음성 신호처리 (Markel and Gray, 1976), 광 산란 필터 (Dowling and MacFarlane, 1994), 이종현․이재일․배진호 지층 Profiling (Markel and Gray, 1976), 그리고 해수의 음향속도 Profiling (Schwetlick, 1983) (Hamilton and Blackstock, 1998;Lee, 1993).…”
Section: 해저지층탐사를 위하여 일반적으로 사용되는 송신 신호는unclassified