Lanczos iterated time-reversal | Zendy

Assad A. Oberai | Zendy; Gonzalo R. Feijóo | Zendy; Paul E. Barbone | Zendy

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Lanczos iterated time-reversal

Author(s) -

Assad A. Oberai,

Gonzalo R. Feijóo,

Paul E. Barbone

Publication year - 2009

Publication title -

the journal of the acoustical society of america

Language(s) - English

Resource type - Journals

SCImago Journal Rank - 0.619

H-Index - 187

eISSN - 1520-8524

pISSN - 0001-4966

DOI - 10.1121/1.3056662

Subject(s) - lanczos resampling , iterated function , power iteration , convergence (economics) , lanczos algorithm , algorithm , mathematics , computer science , iterative method , operator (biology) , mathematical optimization , mathematical analysis , physics , eigenvalues and eigenvectors , biochemistry , chemistry , quantum mechanics , repressor , transcription factor , economics , gene , economic growth

A new iterative time-reversal algorithm capable of identifying and focusing on multiple scatterers in a relatively small number of iterations is developed. It is recognized that the traditional iterated time-reversal method is based on utilizing power iterations to determine the dominant eigenpairs of the time-reversal operator. The convergence properties of these iterations are known to be suboptimal. Motivated by this, a new method based on Lanczos iterations is developed. In several illustrative examples it is demonstrated that for the same number of transmitted and received signals, the Lanczos iterations based approach is substantially more accurate.

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