One embodiment of the present invention is a method for producing a system for describing an electrical network. An output signal of the electrical network is sampled at a frequency that corresponds to the Nyquist criterion for the input signal to the electrical network. A model with a memory is developed for the output signal, which is sampled at a low sampling rate, with this model approximating the output signal. The model is then transformed by suitable interpolation to an interpolated model with a memory. The interpolation results in the model created in this way providing a good approximation to an output signal which is sampled at a high frequency. The resultant system can be used for predistortion.