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The H-scan approach is a matched filter methodology that aims to addinformation to the traditional ultrasound B-scan. The theory is based on thedifferences in the echoes produced by different classes of reflectors orscatterers. Matched filters can be created for different types of scatterers,whereby the maximum output indicates a match and color schemes can be used toindicate the class of scatterer responsible for echoes, providing a visualinterpretation of the results. However, within the theory of weak scatteringfrom a variety of shapes, small changes in the size of the inhomogeneousobjects will create shifts in the scattering transfer function. In this paper,we determine the shift in center frequency, along with time and frequencydomain characteristics of echoes and argue for a general power law transferfunction to capture the major characteristics of scattering types. With thisgeneral approach, the H-scan matched filters can be set to elicit more finegrain shifts in scattering types, commensurate with more subtle changes intissue morphology. Compensation for frequency dependent attenuation is helpfulfor avoiding beam softening effects with increasing depths. Examples fromphantoms and normal and pathological tissues are provided to demonstrate thatthe H-scan analysis and displays are sensitive to scatterer size andmorphology, and can be adapted to conventional imaging systems.

Fine-tuning the H-scan for visualizing types of tissue scatterers