Maximum likelihood estimation of the attenuated ultrasound pulse

@article{Rasmussen1994MaximumLE,
  title={Maximum likelihood estimation of the attenuated ultrasound pulse},
  author={Klaus Bolding Rasmussen},
  journal={IEEE Trans. Signal Process.},
  year={1994},
  volume={42},
  pages={220-222}
}
  • K. B. Rasmussen
  • Published 1994
  • Mathematics, Computer Science
  • IEEE Trans. Signal Process.
The attenuated ultrasound pulse is divided into two parts: a stationary basic pulse and a nonstationary attenuation pulse. A standard ARMA model is used for the basic pulse, and a nonstandard ARMA model is derived for the attenuation pulse. The maximum likelihood estimator of the attenuated ultrasound pulse, which includes a maximum likelihood attenuation estimator, is derived. The results of this correspondence are of great importance for deconvolution and attenuation imaging in medical… 
Blind deconvolution of ultrasonic traces accounting for pulse variance
TLDR
A maximum a posteriori algorithm for simultaneous estimation of a time varying pulse and high-resolution deconvolution is proposed and is particularly suited for layered media containing a limited number of abrupt impedance changes.
Minimum entropy deconvolution of pulse-echo signals acquired from attenuative layered media.
TLDR
The results show that the algorithm, in combination with the attenuation model, yields estimates that reveal the internal structure of the composite and, thus, simplify the interpretation of the ultrasonic data.
On estimating the center frequency of ultrasonic pulses.
TLDR
It is shown in the paper that the proposed method has less variance than the maximum frequency method, and an upper bound for the variance reduction when practical criteria are applied for fitting the cepstrum cut-off frequency.
A linear model approach for ultrasonic inverse problems with attenuation and dispersion
TLDR
This paper proposes to exploit a linear model of ultrasonic data taking into account attenuation and dispersion, which outperforms the standard attenuation-free model and other models of the literature.
An adaptive spectral estimation technique to detect cavitation in HIFU with high spatial resolution.
TLDR
An active spectral cavitation detection method is introduced through a parametric statistical method used on finite-length data sets, which enables local changes to be identified more easily and suggests that good spatial and spectral resolution can be obtained by the design of suitable algorithms.
A Simple Estimator for Frequency an
A simple, computationally inexpensive algorithm is developed for estimating the frequency and decay rate of a complex exponential. Two iterations of the algorithm attains the Cram&-Rao hound on the
Blind deconvolution of ultrasonic signals in nondestructive testing applications
TLDR
Advanced nondestructive testing techniques use a laser to generate ultrasonic waves at the surface of a test material and blind deconvolution methods are applied to estimate the signal leaving the material.
Image enhancement in optical coherence tomography using deconvolution
The present invention provides an improved optical coherence tomography system and involves estimating the impulse response (which is indicative of the actual reflecting and scattering sites within a
A simple estimator for frequency and decay rate
A simple, computationally inexpensive algorithm is developed for estimating the frequency and decay rate of a complex exponential. Two iterations of the algorithm attains the Cramer-Rao bound on the
Processing of ultrasonic grain noise signals for the estimation of depth- and frequency-dependent attenuation
We consider in this paper the general problem of ultrasonic characterization of materials by means of analysing the dependence of attenuation on the frequency and depth of the backscattering noise.
...
1
2
...

References

SHOWING 1-10 OF 11 REFERENCES
Estimating acoustic attenuation from reflected ultrasound signals: Comparison of spectral-shift and spectral-difference approaches
The acoustic attenuation coefficient of soft biological tissue has been observed to have an increasing linear-with-frequency attenuation characteristic with a slope, denoted by β, that varies with
Bounds on estimating the acoustic attenuation of small tissue regions from reflected ultrasound
  • R. Kuc
  • Physics
    Proceedings of the IEEE
  • 1985
The acoustic attenuation coefficient of most soft biological tissues has an approximately linear-with-frequency attenuation characteristic. The slope of the attenuation coefficient with frequency,
Algorithms for instantaneous frequency estimation: a comparative study
This paper examines the problem of instantaneous frequency (IF) estimation for Frequency Modulated (FM) signals imbedded in white Gaussian noise. It reviews currently available techniques and in
Maximum likelihood estimation of the parameters of nonminimum phase and noncausal ARMA models
  • K. B. Rasmussen
  • Mathematics, Computer Science
    IEEE Trans. Signal Process.
  • 1994
TLDR
It turns out that the BFML method incorporates a noncausal ARMA filter with poles outside the unit circle for estimation of the parameters of a causal, nonminimum phase ARMA model.
Introducing a third-order Wigner distribution
A third-order Wigner distribution called the Wigner bispectrum is presented. This mixed time-frequency-frequency representation extends the standard Wigner distribution in the same way that the
Quantitative Seismology: Theory and Methods
TLDR
This work has here attempted to give a unified treatment of those methods of seismology that are currently used in interpreting actual data and develops the theory of seismic-wave propagation in realistic Earth models.
Time - varying higher order spectra and reduced Wigner trispectrum . ” in Advanced Signal Processing Algorithms
  • Advanced Signal Processing Algorithms , Architectures and Implemenraiions
  • 1990
Sysrem Identificarion: Theory for the User.Englewood
  • Cliffs, NJ: Prentice-Hall,
  • 1987
Optimal seismic deconvolution
Rabiner
  • Multirate Digital Signal Processing.Englewood Cliffs, NJ: Prentice-Hall,
  • 1983
...
1
2
...