The modified convolution models of ultrasound echo signal

The ultrasound convolution model is addressed in this paper. Image formation process in the traditional model is expressed as a spatial-temporal convolution between the tissue signal and the ultrasonic system response. However, with the understanding of the existing widely-applied convolution model, we present modification since it omits the acoustical interactions inside the tissue. Consequently, under further analysis on the interactions and the reasonable assumptions of ultrasound propagations, two modified models are proposed, in which one takes the incident interaction into account and the other focuses on the backscattering interaction.