Multi-echo signals simulation based on a mathematical model adjusted to hepatic tissue echographic behavior

Nowadays new methods of echographic signal processing have emerged to support the medical diagnosis. In the first stage of development, these methods should be assessed with a considerable number of realistic echo-signals. In this paper, a mathematical model of hepatic tissue is proposed. This will be used to generate echo-graphic signals adjusted to realistic acquired waveforms. The model is based on a set of characteristics computed from echographic signals produced by the inspection of the healthy liver tissue. These characteristics were a) average power, b) signal to noise ratio (SNR) and c) inter-arrival time standard deviation. In order to emulate the realistic signals, the model was fitted accordingly throughout different values of the three parameters. A comparative analysis between real and simulated signals is presented. Conclusions about obtained results are given, including the parameters values (SNR equal to 6 dB, Average Power equal to 4.08e-4 W and an inter-arrival time standard deviation equal to 1.43e-6 s) of the simulated signals that presented the higher correlation coefficient (0.3003).