Small formed elements and gas bubbles in flowing blood, called microemboli,
can be detected using Doppler ultrasound. In this application, a pulsed co
nstant-frequency ultrasound signal insonates a volume of blood in the middl
e cerebral artery, and microemboli moving through its sample volume produce
a Doppler-shifted transient reflection.
Current detection methods include searching for these transients in a short
-time Fourier transform (STFT) of the reflected signal. However, since the
embolus transit time through the Doppler sample volume is inversely proport
ional to the embolus velocity (Doppler-shift frequency), a matched-filter d
etector should in principle use a wavelet transform, rather than a short-ti
me Fourier transform, for optimal results. Closer examination of the Dopple
r shift signals usually shows a chirping behavior apparently due to acceler
ation or deceleration of the emboli during their transit through the Dopple
r sample volume. These variations imply that a linear wavelet detector is n
ot optimal.
We apply linear and quadratic time-frequency and time-scale detectors to a
set of noise-corrupted embolus data. Our results show improvements of about
1 dB using the time-scale detectors versus an STFT-based detector signifyi
ng that embolus detection is best approached as a time-scale problem. A tim
e-scale-chirp detector is also applied and is found to have the overall bes
t performance by about 0.5-0.7 dB while coming fairly close (about 0.75 dB)
to a theoretical upper bound.