On the use of signal modelling techniques for simulating 1/ fβ -noise

This paper presents a comparison study between various signal modeling techniques, combined with power series expansion to design infinite impulse response (IIR) filters based on fractional integration for 1/f^β sequences synthesis. It was found that the approximation accuracy of the power spectra, the computation time and the space memory required depend highly on the signal modeling techniques used. Best results were obtained using iterative technique. The burden of time consumption and space memory required are lowered by introducing impulse invariance based method.