Abstract
Recent hardware advances in optical coherence tomography (OCT) have led to ever higher A-scan rates. However, the estimation of blood flow axial velocities is limited by the presence and type of noise. Higher acquisition rates alone do not necessarily enable precise quantification of Doppler velocities, particularly if the estimator is suboptimal. In previous work, we have shown that the Kasai autocorrelation estimator is statistically suboptimal under conditions of additive white Gaussian noise. In addition, for practical OCT measurements of flow, decorrelation noise affects Doppler frequency estimation by broadening the signal spectrum. Here, we derive a general maximum likelihood estimator (MLE) for Doppler frequency estimation that takes into account additive white noise as well as signal decorrelation. We compare the decorrelation MLE with existing techniques using simulated and flow phantom data and find that it has better performance, achieving the Cramer-Rao lower bound. By making an approximation, we also provide an interpretation of this method in the Fourier domain. We anticipate that this estimator will be particularly suited for estimating blood flow in in vivo scenarios.
| Original language | English (US) |
|---|---|
| Article number | 6763051 |
| Pages (from-to) | 1313-1323 |
| Number of pages | 11 |
| Journal | IEEE Transactions on Medical Imaging |
| Volume | 33 |
| Issue number | 6 |
| DOIs | |
| State | Published - Jan 1 2014 |
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Keywords
- Circulant matrices
- Cramer-Rao bounds
- Doppler optical coherence tomography
- Frequency estimation
- Maximum likelihood estimation
- Toeplitz matrices
ASJC Scopus subject areas
- Software
- Radiological and Ultrasound Technology
- Computer Science Applications
- Electrical and Electronic Engineering
Cite this
Maximum likelihood doppler frequency estimation under decorrelation noise for quantifying flow in optical coherence tomography. / Chan, Aaron C.; Srinivasan, Vivek; Lam, Edmund Y.
In: IEEE Transactions on Medical Imaging, Vol. 33, No. 6, 6763051, 01.01.2014, p. 1313-1323.Research output: Contribution to journal › Article
}
TY - JOUR
T1 - Maximum likelihood doppler frequency estimation under decorrelation noise for quantifying flow in optical coherence tomography
AU - Chan, Aaron C.
AU - Srinivasan, Vivek
AU - Lam, Edmund Y.
PY - 2014/1/1
Y1 - 2014/1/1
N2 - Recent hardware advances in optical coherence tomography (OCT) have led to ever higher A-scan rates. However, the estimation of blood flow axial velocities is limited by the presence and type of noise. Higher acquisition rates alone do not necessarily enable precise quantification of Doppler velocities, particularly if the estimator is suboptimal. In previous work, we have shown that the Kasai autocorrelation estimator is statistically suboptimal under conditions of additive white Gaussian noise. In addition, for practical OCT measurements of flow, decorrelation noise affects Doppler frequency estimation by broadening the signal spectrum. Here, we derive a general maximum likelihood estimator (MLE) for Doppler frequency estimation that takes into account additive white noise as well as signal decorrelation. We compare the decorrelation MLE with existing techniques using simulated and flow phantom data and find that it has better performance, achieving the Cramer-Rao lower bound. By making an approximation, we also provide an interpretation of this method in the Fourier domain. We anticipate that this estimator will be particularly suited for estimating blood flow in in vivo scenarios.
AB - Recent hardware advances in optical coherence tomography (OCT) have led to ever higher A-scan rates. However, the estimation of blood flow axial velocities is limited by the presence and type of noise. Higher acquisition rates alone do not necessarily enable precise quantification of Doppler velocities, particularly if the estimator is suboptimal. In previous work, we have shown that the Kasai autocorrelation estimator is statistically suboptimal under conditions of additive white Gaussian noise. In addition, for practical OCT measurements of flow, decorrelation noise affects Doppler frequency estimation by broadening the signal spectrum. Here, we derive a general maximum likelihood estimator (MLE) for Doppler frequency estimation that takes into account additive white noise as well as signal decorrelation. We compare the decorrelation MLE with existing techniques using simulated and flow phantom data and find that it has better performance, achieving the Cramer-Rao lower bound. By making an approximation, we also provide an interpretation of this method in the Fourier domain. We anticipate that this estimator will be particularly suited for estimating blood flow in in vivo scenarios.
KW - Circulant matrices
KW - Cramer-Rao bounds
KW - Doppler optical coherence tomography
KW - Frequency estimation
KW - Maximum likelihood estimation
KW - Toeplitz matrices
UR - http://www.scopus.com/inward/record.url?scp=84896997940&partnerID=8YFLogxK
UR - http://www.scopus.com/inward/citedby.url?scp=84896997940&partnerID=8YFLogxK
U2 - 10.1109/TMI.2014.2309986
DO - 10.1109/TMI.2014.2309986
M3 - Article
C2 - 24760902
AN - SCOPUS:84896997940
VL - 33
SP - 1313
EP - 1323
JO - IEEE Transactions on Medical Imaging
JF - IEEE Transactions on Medical Imaging
SN - 0278-0062
IS - 6
M1 - 6763051
ER -