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Cancellous bone analysis with modified least squares Prony’s method and chirp filter: Phantom experiments and simulation
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10.1121/1.3478779
/content/asa/journal/jasa/128/4/10.1121/1.3478779
http://aip.metastore.ingenta.com/content/asa/journal/jasa/128/4/10.1121/1.3478779

Figures

Image of FIG. 1.
FIG. 1.

Phase velocity of the form of Eq. (4) with first and second order Taylor series approximations for a case where and .

Image of FIG. 2.
FIG. 2.

RF signals (left column), real and imaginary parts of and MLSP method fits (middle and right columns) for simulated data with and . The lower middle and lower right graphs show the result of applying the MLSP method directly to , not merely the sum of the results of applying the MLSP method to and .

Image of FIG. 3.
FIG. 3.

The dependence of wave parameter estimates on SNR using MLSP and MLSPCF methods for (simulation). Dotted lines show true values. (a) Fast and slow wave amplitudes, (b) fast and slow wave attenuation coefficient slopes, (c) fast wave phase velocity at 1 MHz, and (d) slow wave phase velocity at 1 MHz.

Image of FIG. 4.
FIG. 4.

The dependence of wave parameter estimates on fast wave phase velocity using MLSP and MLSPCF methods for (simulation). Dotted lines show true values. (a) Fast wave amplitude, (b) slow wave amplitude, (c) fast wave attenuation coefficient slope, (d) slow wave attenuation slope, (e) fast wave phase velocity at 1 MHz, and (f) slow wave phase velocity at 1 MHz.

Image of FIG. 5.
FIG. 5.

RF signals passing through 100% LDPE (top), 100% cancellous-bone-mimicking-phantom slab (middle), and 50% LDPE/50% cancelloous-bone-mimicking-phantom slab (bottom). The top and middle signals have been offset by 400 and 200 arbitrary units respectively.

Image of FIG. 6.
FIG. 6.

The dependence of wave parameter estimates on wave strength (relative time-domain amplitude) using MLSP and MLSPCF methods (experiment). Dotted lines show values measured on media individually. (a) Fast wave attenuation slope, (b) slow wave attenuation slope, (c) fast wave phase velocity, (d) slow wave phase velocity.

Tables

Generic image for table
TABLE I.

A comparison of estimates of fast and slow wave attenuation coefficient slopes and phase velocities in the LDPE/cancellous-bone-mimicking-phantom composite and in the individual media obtained (1) by applying the MLSP and conservative MLSPCF methods on the signal passing through the composite and (2) by applying log spectral difference [Eq. (12)] and spectral phase velocity [Eq. (13)] methods on the signals passing through the individual media.

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/content/asa/journal/jasa/128/4/10.1121/1.3478779
2010-10-18
2014-04-24
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752b84549af89a08dbdd7fdb8b9568b5 journal.articlezxybnytfddd
Scitation: Cancellous bone analysis with modified least squares Prony’s method and chirp filter: Phantom experiments and simulation
http://aip.metastore.ingenta.com/content/asa/journal/jasa/128/4/10.1121/1.3478779
10.1121/1.3478779
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