A computer-implemented method and a temperature estimating system for estimating a temperature of an electrochemical battery, including: providing a series of electrical impedance measurements of an electrochemical battery, each electrical impedance measurement being measured at a respective measurement frequency, the series being ordered according to the respective measurement frequencies; and determining a temperature of the electrochemical battery using artificial neural network means configured to receive as inputs a series of electrical impedance values, wherein a series of electrical impedance values is provided to the artificial neural network means, the series of electrical impedance values corresponding to the provided series of electrical impedance measurements, wherein the artificial neural network means receives and processes the provided series of electrical impedance values to generate therefrom an output signal representing a temperature associated with the electrochemical battery.