Spectral doppler estimation utilizing 2-D spatial information and adaptive signal processing

The trade-off between temporal and spectral resolution in conventional pulsed wave (PW) Doppler may limit duplex/triplex quality and the depiction of rapid flow events. It is therefore desirable to reduce the required observation window (OW) of the Doppler signal while preserving the frequency resolution. This work investigates how the required observation time can be reduced by adaptive spectral estimation utilizing 2-D spatial information obtained by parallel receive beamforming. Four adaptive estimation techniques were investigated, the power spectral Capon (PSC) method, the amplitude and phase estimation (APES) technique, multiple signal classification (MUSIC), and a projection-based version of the Capon technique. By averaging radially and laterally, the required covariance matrix could successfully be estimated without temporal averaging. Useful PW spectra of high resolution and contrast could be generated from ensembles corresponding to those used in color flow imaging (CFI; OW = 10). For a given OW, the frequency resolution could be increased compared with the Welch approach, in cases in which the transit time was higher or comparable to the observation time. In such cases, using short or long pulses with unfocused or focused transmit, an increase in temporal resolution of up to 4 to 6 times could be obtained in in vivo examples. It was further shown that by using adaptive signal processing, velocity spectra may be generated without high-pass filtering the Doppler signal. With the proposed approach, spectra retrospectively calculated from CFI may become useful for unfocused as well as focused imaging. This application may provide new clinical information by inspection of velocity spectra simultaneously from several spatial locations.

[1]  D. D. Feldman An analysis of the projection method for robust adaptive beamforming , 1996 .

[2]  A. Austeng,et al.  Benefits of minimum-variance beamforming in medical ultrasound imaging , 2009, IEEE Transactions on Ultrasonics, Ferroelectrics and Frequency Control.

[3]  J. Greenleaf,et al.  Isomorphism between pulsed-wave Doppler ultrasound and direction-of-arrival estimation. II. Experimental results , 1996, IEEE Transactions on Ultrasonics, Ferroelectrics and Frequency Control.

[4]  R S Cobbold,et al.  A comparative study and assessment of Doppler ultrasound spectral estimation techniques. Part I: Estimation methods. , 1988, Ultrasound in medicine & biology.

[5]  J. Capon High-resolution frequency-wavenumber spectrum analysis , 1969 .

[6]  A. Austeng,et al.  Adaptive Beamforming Applied to Medical Ultrasound Imaging , 2007, IEEE Transactions on Ultrasonics, Ferroelectrics and Frequency Control.

[7]  John G. Proakis,et al.  Probability, random variables and stochastic processes , 1985, IEEE Trans. Acoust. Speech Signal Process..

[8]  Elif Derya Übeyli,et al.  Comparison of eigenvector methods with classical and model-based methods in analysis of internal carotid arterial Doppler signals , 2003, Comput. Biol. Medicine.

[9]  P. Stoica,et al.  Combining Capon and APES for estimation of spectral lines , 2000 .

[10]  F. Schlindwein,et al.  Selection of the order of autoregressive models for spectral analysis of Doppler ultrasound signals. , 1990, Ultrasound in medicine & biology.

[11]  A Fort,et al.  Adaptive SVD-based AR model order determination for time-frequency analysis of Doppler ultrasound signals. , 1995, Ultrasound in medicine & biology.

[12]  K. Kristoffersen,et al.  Autocorrelation techniques in color flow imaging: signal model and statistical properties of the autocorrelation estimates , 1994, IEEE Transactions on Ultrasonics, Ferroelectrics and Frequency Control.

[13]  J Bercoff,et al.  Ultrafast compound doppler imaging: providing full blood flow characterization , 2011, IEEE Transactions on Ultrasonics, Ferroelectrics and Frequency Control.

[14]  R S Cobbold,et al.  A comparative study and assessment of Doppler ultrasound spectral estimation techniques. Part II: Methods and results. , 1988, Ultrasound in medicine & biology.

[15]  F. Forsberg On the usefulness of singular value decomposition-ARMA models in Doppler ultrasound , 1991, IEEE Transactions on Ultrasonics, Ferroelectrics and Frequency Control.

[16]  F. Gran,et al.  Adaptive spectral doppler estimation , 2009, IEEE Transactions on Ultrasonics, Ferroelectrics and Frequency Control.

[17]  Lloyd J. Griffiths,et al.  A projection approach for robust adaptive beamforming , 1994, IEEE Trans. Signal Process..

[18]  R. Lacoss DATA ADAPTIVE SPECTRAL ANALYSIS METHODS , 1971 .

[19]  J. Scott Goldstein,et al.  Reduced-rank adaptive filtering , 1997, IEEE Trans. Signal Process..

[20]  F. Gran,et al.  In-vivo validation of fast spectral velocity estimation techniques - preliminary results , 2008, 2008 IEEE Ultrasonics Symposium.

[21]  Hans Torp,et al.  Reducing color flow artifacts caused by parallel beamforming , 2009, IEEE Transactions on Ultrasonics, Ferroelectrics and Frequency Control.

[22]  M.E. Allam,et al.  Isomorphism between pulsed-wave Doppler ultrasound and direction-of-arrival estimation. I. Basic principles , 1996, IEEE Transactions on Ultrasonics, Ferroelectrics and Frequency Control.

[23]  S.W. Smith,et al.  High-speed ultrasound volumetric imaging system. II. Parallel processing and image display , 1991, IEEE Transactions on Ultrasonics, Ferroelectrics and Frequency Control.

[24]  John G. Proakis,et al.  Digital Signal Processing: Principles, Algorithms, and Applications , 1992 .

[25]  Marc D Weinshenker,et al.  Explososcan: a parallel processing technique for high speed ultrasound imaging with linear phased arrays. , 1984 .

[26]  Andreas Jakobsson,et al.  Matched-filter bank interpretation of some spectral estimators , 1998, Signal Process..

[27]  Petre Stoica,et al.  Spectral Analysis of Signals , 2009 .

[28]  Jian Li,et al.  An adaptive filtering approach to spectral estimation and SAR imaging , 1996, IEEE Trans. Signal Process..

[29]  H. Torp Clutter rejection filters in color flow imaging: a theoretical approach , 1997, IEEE Transactions on Ultrasonics, Ferroelectrics and Frequency Control.

[30]  A Herment,et al.  An adaptive approach to computing the spectrum and mean frequency of Doppler signals. , 1995, Ultrasonic imaging.

[31]  R I Kitney,et al.  Maximum likelihood frequency tracking of the audio pulsed Doppler ultrasound signal using a Kalman filter. , 1988, Ultrasound in medicine & biology.

[32]  O T von Ramm,et al.  Explososcan: A Parallel Processing Technique For High Speed Ultrasound Imaging With Linear Phased Arrays , 1985, Medical Imaging.