1993
DOI: 10.1109/58.251281
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Spectral correlation in ultrasonic pulse echo signal processing

Abstract: The effects of using spectral correlation in a maximum-likelihood estimator (MLE) for backscattered energy corresponding to coherent reflectors embedded in media of microstructure scatterers is considered. The spectral autocorrelation (SAC) function is analyzed for various scatterer configurations based on the regularity of the interspacing distance between scatterers. It is shown that increased regularity gives rise to significant spectral correlation, whereas uniform distribution of scatters throughout a res… Show more

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Cited by 36 publications
(11 citation statements)
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“…This estimator has been widely used in many quantitative ultrasound applications. 19;20;56;57;67 Multitaper method (MTM): A set of K GS estimates is obtained from the Fourier transforms of the RF echosignal segment when separately tapered by K DPSS. The final GS estimate is given by the weighted average of the K individual estimates.…”
Section: Methodsmentioning
confidence: 99%
See 1 more Smart Citation
“…This estimator has been widely used in many quantitative ultrasound applications. 19;20;56;57;67 Multitaper method (MTM): A set of K GS estimates is obtained from the Fourier transforms of the RF echosignal segment when separately tapered by K DPSS. The final GS estimate is given by the weighted average of the K individual estimates.…”
Section: Methodsmentioning
confidence: 99%
“…63 Most importantly, the presence of coherent scattering shows up as significant non-zero values outside the 0MHz peak. 19;56;67 The useful frequency ranges of the GS are determined by the available signal bandwidth.…”
Section: Methodsmentioning
confidence: 99%
“…In this work we define CDR as the ratio of the average energies for diffuse and coherent scatterers as our model is based on a two-component scatter model in which diffuse component represents randomly located, unresolvable scatterers, and coherent component represents nonrandomly distributed, resolvable scatterers. Note that the CDR here is referred to as signal-to-noise ratio (SNR) in some other studies [9], [21], [29]. However, in order to avoid confusion with the concept of noise as an additive component independent of the scatterers, we use CDR instead of SNR.…”
Section: Simulation Of Reflection Of Rf Echo From Breast Ductsmentioning
confidence: 97%
“…(i) x(n) is the nonpredictable part given by x(n) = 3w(n -s) + w(n) (4) Under the invertibility condition,17 x(n) is expressed as x(n) = ax(n -s) + w(n) = 1(n) + w(n) (5) where a-E{y(n)w(n-s)} a<oo (6) { w(n)} is white innovation sequence with zero mean and variance 2; (ii) p(n) is completely predictable (i.e., it is either deterministic or stochastic but with a prediction error of 0, i.e., p(n) = sP(fl_ s) =(n) (7) (iii) p(n) is uncorrelated with w(n), i.e., E{p(i)w(s)} = 0 for all t and s. This implies that p(n) and x(n) are orthogonal, i.e., E{p(t)x(s)} = 0 for all i and s.…”
Section: Wold Decomposition Of the Rf Echomentioning
confidence: 99%