In this paper, a method is introduced how to process the Discrete Fourier Transform (DFT) by a singlelayer neural network with a linear transfer function. By implementing the suggested solution into neurohardware, advantage can be taken of actual parallel processing of spectral components of different frequencies and of different coefficients of each spectral line. When computing the DFT due to input data pre-processing for a certain neural network solution, a stand alone solution of neural networks without the necessity of additional computational resources can be achieved.