Model-based fit procedure for power-law-like spectra

In dielectrics, glasses and networked liquids it is very common to study noise spectra with extended power-law regions to gather useful information. Experimental noise spectra are often characterized by 1/fα regions with different α and other features such as very wide resonances. Because of the overall power-law behavior these spectra are extremely difficult to fit with standard methods. Here I propose a model-based fit procedure that performs well on spectra obtained in a molecular dynamics simulation.