Kd. Donohue et al., SPECTRAL CORRELATION IN ULTRASONIC PULSE-ECHO SIGNAL-PROCESSING, IEEE transactions on ultrasonics, ferroelectrics, and frequency control, 40(4), 1993, pp. 330-337
This paper considers the effects of using spectral correlation in a ma
ximum likelihood estimator (MLE) for backscattered energy correspondin
g to coherent reflectors embedded in media of microstructure scatterer
s. The spectral autocorrelation (SAC) function is analyzed for scatter
er configurations based on the regularity of the interspacing distance
between scatterers. It is shown that increased regularity gives rise
to significant spectral correlation between different frequencies, whi
le scatterers that are uniformly distributed throughout a resolution c
ell result in no significant correlation between spectral components.
This implies that when a true uniform distribution for the effective s
catterers exists, the power spectral density (PSD) is sufficient to ch
aracterize their echoes. However, as the microstructure scatterer dist
ribution becomes more regular, SAC terms between different frequencies
become more significant. Experimental results compare the performance
of an adaptive MLE using the SAC and PSD characterizations of the gra
in echoes. The MLE results for 15 A-scans from stainless steel specime
ns with three different grain sizes indicate an average 6-dB signal-to
-noise ratio (SNR) improvement in the coherent scatterer (flat-bottom
hole) echo intensities for estimators using the SAC characterization,
as opposed to estimators using the PSD characterization.