MATLAB如何实现多个指数衰减函数的拟合？

想要拟合的表达式如图所示。文中提到：

In this process, ai’s are the fitting parameters to be evaluated, whereas τi’s are the predefined constants. For the fitting function, we typically use 100 exponentials with time constants τi that are equally spaced logarithmically in time. Positive (negative) values of ai correspond
to the trapping (detrapping) processes. ai represents the magnitude of the trapping (detrapping) process of time constant τi. Our measurement and analysis are carried out in the 10^-3 to10^3 s range
 

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