Most Doppler ultrasound systems employ quadrature demodulation techniques a
t the detection stage. The information concerning flow direction, encoded i
n the phase relationship between in-phase and quadrature-phase channels, is
not obvious at this stage. The complex fast Fourier transform can be used
to obtain directional information in the frequency domain, as well as time-
frequency analysis of Doppler signals. However, it has an inherent time-fre
quency resolution limitation. The wavelet transform allows the time-frequen
cy resolution compromise to be optimised. Mapping directional information i
n the scale domain is also desirable. A method is described, based on the u
tilisation of complex wavelets and negative scales. It eliminates the inter
mediate processing stages for obtaining directional Doppler signals for tim
e-scale analysis.