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Mean‐scatterer spacing estimates with spectral correlation

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TLDR
This paper addresses the problem of estimating mean-scatterer spacing from the backscattered ultrasound signal using spectral redundancy characterized by the spectral autocorrelation (SAC) function, and results indicate that SAC- based estimates converge more reliably over smaller amounts of data than cepstrum-based estimates.
Abstract
An ultrasonic backscattered signal from material comprised of quasiperiodic scatterers exhibit redundancy over both its phase and magnitude spectra. This paper addresses the problem of estimating mean‐scatterer spacing from the backscattered ultrasound signal using spectral redundancy characterized by the spectral autocorrelation (SAC) function. Mean‐scatterer spacing estimates are compared for techniques that use the cepstrum and the SAC function. A‐scan models consist of a collection of regular scatterers with Gamma distributed spacings embedded in diffuse scatterers with uniform distributed spacings. The model accounts for attenuation by convolving the frequency dependent scattering centers with a time‐varying system response. Simulation results indicate that SAC‐based estimates converge more reliably over smaller amounts of data than cepstrum‐based estimates. A major reason for the performance advantage is the use of phase information by the SAC function, while the cepstrum uses a phaseless power spec...

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Citations
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Cyclostationarity: half a century of research

TL;DR: A concise survey of the literature on cyclostationarity is presented and includes an extensive bibliography and applications of cyclostatedarity in communications, signal processing, and many other research areas are considered.
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Elastography: ultrasonic estimation and imaging of the elastic properties of tissues.

TL;DR: The strain filter formalism and its utility in understanding the noise performance of the elastographic process is given, as well as its use for various image improvements.
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Bibliography on cyclostationarity

TL;DR: The present bibliography represents a comprehensive list of references on cyclostationarity and its applications by listing most of the existing references up to the year 2005 and by providing a detailed classification group.
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Reduction of signal decorrelation from mechanical compression of tissues by temporal stretching: applications to elastography.

TL;DR: The theory predicts that if the postcompression echo signals are stretched before the TDE step, then for small strains, the cross-correlation function very closely resembles the autocorrelation function, and correlation is improved if temporal stretching is applied.
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Direct strain estimation in elastography using spectral cross-correlation.

TL;DR: Spectral cross-correlation is shown to be more sensitive to small shifts in the power spectrum and, thus, provides better estimation for smaller strains when compared to the spectral centroid shift.
References
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Journal ArticleDOI

The use of fast Fourier transform for the estimation of power spectra: A method based on time averaging over short, modified periodograms

TL;DR: In this article, the use of the fast Fourier transform in power spectrum analysis is described, and the method involves sectioning the record and averaging modified periodograms of the sections.
Book

Digital Signal Processing: Principles, Algorithms, and Applications

TL;DR: This paper presents a meta-analysis of the Z-Transform and its application to the Analysis of LTI Systems, and its properties and applications, as well as some of the algorithms used in this analysis.
Journal ArticleDOI

Exploitation of spectral redundancy in cyclostationary signals

TL;DR: It is shown that the cyclostationarity attribute, as it is reflected in the periodicities of (second-order) moments of the signal, can be interpreted in terms of the property that allows generation of spectral lines from the signal by putting it through a (quadratic) nonlinear transformation.
Journal ArticleDOI

Describing small-scale structure in random media using pulse-echo ultrasound.

TL;DR: The dependence of the measurement accuracy on the inclusion of shear waves, the wavelength of sound, and medium attenuation are considered, and the implications for describing the structure of biological soft tissues are discussed.
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