Present experimental data shows that the noise changes with the frequency of the written signal. In this paper an analysis of this dependency is given by means of a simplified model for the particle interactions. Although such a model does not go into the more intricate physics of the phenomenon, it gives a good macroscopic interpretation for the interaction which fits the observed data extremely well. The clusters' contribution to the spectrum is clearly revealed here: the shoulders around the signal spikes are translations of the square of the amplitude of the Fourier transform of the probability density of the subclusters' position within the clusters.