T. Loupas et Rw. Gill, MULTIFREQUENCY DOPPLER - IMPROVING THE QUALITY OF SPECTRAL ESTIMATIONBY MAKING FULL USE OF THE INFORMATION PRESENT IN THE BACKSCATTERED RFECHOES, IEEE transactions on ultrasonics, ferroelectrics, and frequency control, 41(4), 1994, pp. 522-531
This paper investigates the application of the two-dimensional Fourier
transform in the context of pulsed wave Doppler. It is shown that two
-dimensional spectral analysis of the backscattered RF echoes provides
individual Doppler spectra corresponding to the whole range of transm
itted frequencies which can be combined, after proper scaling, to form
a ''multifrequency'' spectral estimate. Theoretical expressions are d
erived for the signal-to-noise ratio of the multifrequency sonogram wh
ich predict substantial gains over the conventional (one-dimensional)
approach for Doppler processing. These predictions are verified by mea
ns of extensive simulations, which also provide an insight into the ef
fect of electronic noise.