2006
DOI: 10.1121/1.2150152
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Demonstration at sea of the decomposition-of-the-time-reversal-operator technique

Abstract: This paper presents a derivation of the time reversal operator decomposition ͑DORT͒ using the sonar equation. DORT is inherently a frequency-domain technique, but the derivation is shown in the time-frequency domain to preserve range resolution. The magnitude of the singular values is related to sonar equation parameters. The time spreading of the time-domain back-propagation image is also related to the sonar equation. Noise-free, noise-only, and signal-plus-noise data are considered theoretically. Contaminat… Show more

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Cited by 21 publications
(10 citation statements)
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“…Integration of frequency shift into the forward prediction could improve its performance with appreciably enhanced correlation of the predicted reverberation subspace and the real one, as indicated in eq. (14).…”
Section: Simulationsmentioning
confidence: 99%
See 1 more Smart Citation
“…Integration of frequency shift into the forward prediction could improve its performance with appreciably enhanced correlation of the predicted reverberation subspace and the real one, as indicated in eq. (14).…”
Section: Simulationsmentioning
confidence: 99%
“…To solve the above problem, an echo-to-reverberation enhancement method based on decomposition of the time reversal operator (DORT) [12][13][14][15][16] with forward and backward reverberation nulling has been proposed [17]. This method can focus sound energy at the target while nulling the energy at the bottom near the target range simultaneously, substantially enhancing the echo-to-reverberation ratio without a probe source and prior knowledge about the relative scattering intensity of target and bottom.…”
mentioning
confidence: 99%
“…12,13 Recent at sea experiments confirm the efficiency of the DORT method for detection and focusing in a shallow water environment. 14,15 However, the aforementioned studies only considered isotropic scatterers.…”
Section: Introductionmentioning
confidence: 99%
“…The mainly discussed imaging methods is chronologically listed as the iterative time reversal mirror imaging (ITRMI) [1][2][3][4][5], the decomposition of time reversal operator (DORT) [6][7][8][9][10][11][12][13] and the time reversal-multiple signal classification method (TR-MUSIC) [14][15][16][17][18][19]. The iterative time reversal mirror imaging is a most direct and intuitional method for target location and imaging considering the spatial and temporal focusing characteristics of time reversal mirror.…”
Section: Introductionmentioning
confidence: 99%