title: Estimation of the blood Doppler frequency shift by a time-varying parametric approach.
abstract: Doppler ultrasound is widely used in medical applications to extract the blood Doppler flow velocity in the arteries via spectral analysis. The spectral analysis of non-stationary signals and particularly Doppler signals requires adequate tools that should present both good time and frequency resolutions. It is well-known that the most commonly used time-windowed Fourier transform, which provides a time-frequency representation, is limited by the intrinsic trade-off between time and frequency resolutions. Parametric methods have then been introduced as an alternative to overcome this resolution problem. However, the performance of those methods deteriorates when high non-stationarities are present in the Doppler signal. For the purpose of accurately estimating the Doppler frequency shift, even when the temporal flow velocity is rapid (high non-stationarity), we propose to combine the use of the time-varying autoregressive (AR) method and the (dominant) pole frequency. This proposed method performs well in the context where non-stationarities are very high. A comparative evaluation has been made between classical (FFT based) and AR (both block and recursive) algorithms. Among recursive algorithms we test an adaptive recursive method as well as a time-varying recursive method. Finally, the superiority of the time-varying parametric approach in terms of frequency tracking and delay in the frequency estimate is illustrated for both simulated and in vivo Doppler signals.
authors.affiliation: GIP Ultrasons/LUSSI, Tours, France. jmgirault@univ-tours.fr
authors.forename: J M
authors.initials: JM
authors.lastname: Girault
authors.forename: D
authors.initials: D
authors.lastname: Kouamé
authors.forename: A
authors.initials: A
authors.lastname: Ouahabi
authors.forename: F
authors.initials: F
authors.lastname: Patat
mesh_terms: D000465:Algorithms; D001783:Blood Flow Velocity; D005583:Fourier Analysis; D006801:Humans; D008962:Models, Theoretical; D018608:Ultrasonography, Doppler