Abstract
This paper proposes a high-speed parameters estimation method for compartment model where output function is described by the convolution between input function and impulse response, which is like a time-invariant linear system. The proposed method uses linear regression analysis based on the equivalently transformed equation that can be obtained using the processing of Differentiation of Convolution with Exponential function (DCE). In this paper, taking the issue of parameters estimation in PET (Positron Emission Tomography) inspection system and RLC series electrical circuit for examples, we reveal that the method can estimate parameters of those impulse responses in high speed, by showing the experimental results. Moreover, we explain the advantage of our method comparing to the conventional standard method such as conjugate gradient method and the extended Newton one.
https://ror.org/01fxdkm29 
