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Updated: Aug 17, 2026

Blood Flow Imaging with Ultrafast Doppler
Published on: October 14, 2020
[Application of Burg algorithm in time-frequency analysis of Doppler blood flow signal based on AR modeling]
Yufeng Zhang1, Yi Zhou, Xinling Shi
1Department of Electronic Engineering, Information School, Yunnan University, Kunming 650031, China.
Abstract:
The Doppler blood flow signal is inherently a nonstationary Gaussian random process whose time-frequency representation associates with the time-varying velocity of blood flow and its variations. With the assumption that the signal being analyzed is stationary during a short time interval, we can not get Doppler time-frequency representations with satisfactory time and frequency resolution. AR modeling based on Levinson-Durbin algorithm has been used to generate time-frequency representations of Doppler blood flow signals. But the errors of the parameters computed by the algorithm will be aggrandized by the shortening of the time interval. Burg has advanced an algorithm, which computes the parameters by making the sum of forward and backward forecasting errors minimum. In the paper, time-frequency representations computed by Burg and Levinson-Durbin algorithm were compared with the theoretical representation. We found that the time-frequency representations computed by Burg algorithm are more similar to the theoretical representation, especially in frequency band.
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