Double exponential model of ultrasonic signals

The notion of representing discrete-time ultrasonic signals using double exponential model and the method of computing modelpsilas parameters using Prony method are introduced. The rise time t_r and full width half maximum t_fwhm of double exponential model is discussed and contrasted with the damped exponential model. It is shown that flexibility of double exponent model is superior to damped exponential model. Fitting the measured data and simulation of TOA (Time-Of-Arrived) proved that the double exponent model has better performance than the damped exponential model.