2001
DOI: 10.1109/58.911718
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Tissue characterization using the continuous wavelet transform. I. Decomposition method

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Cited by 63 publications
(47 citation statements)
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“…The rejection of the Rayleigh scattering hypothesis indicates the existence of a coherent component. If a coherent component exists, the signal is decomposed into its coherent c(n) and diffuse d(n) components using the wavelet decomposition described in [5]. This decomposition is consistent with the general decomposition of regular stochastic fields into predictable (the specular field) component and unpredictable (the diffused field) component, known in the literature of stochastic processes as the WOLD decomposition [4].…”
Section: Stochastic Decomposition Methods (Sdm) and The Extractedmentioning
confidence: 96%
“…The rejection of the Rayleigh scattering hypothesis indicates the existence of a coherent component. If a coherent component exists, the signal is decomposed into its coherent c(n) and diffuse d(n) components using the wavelet decomposition described in [5]. This decomposition is consistent with the general decomposition of regular stochastic fields into predictable (the specular field) component and unpredictable (the diffused field) component, known in the literature of stochastic processes as the WOLD decomposition [4].…”
Section: Stochastic Decomposition Methods (Sdm) and The Extractedmentioning
confidence: 96%
“…3. What determines p is the memory of the process, namely, how many previous values of the process enter in the determination of the conditional mean value of the process at time n. The value of 5 for p is determined using our previous work in [23,43,44]. The AR process is parameterized by the set [b 1 (k), b 2 (k),…, b p (k), r 2 (k) = (b(k), r 2 (k)].…”
Section: The Diffuse Modelmentioning
confidence: 99%
“…The Hanning taper with gaps (HnG), a Hanning taper multiplied element-wise with the gap pattern, was also examined. The sinusoidal taper, generated according to (10) for n = 1, 2, …, N, was also examined. The sinusoidal taper with gaps (SNG) was generated using element-wise multiplication of the taper and the gap pattern.…”
Section: Spectrum Estimation: Tapers With Gapsmentioning
confidence: 99%
“…In addition, Monte Carlo simulations have been used previously to tune θ. 10 The decision rule in Equation (9) allows for the creation of a binary mask that records whether each RF sample belongs to the diffuse or coherent component. After generating this mask, a windowing technique can be used to estimate the spectrum using only the RF samples that are included in the diffuse component.…”
Section: Signal Decompositionmentioning
confidence: 99%
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