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

Youcef Ferdi , Mohamed Reda Lakehal , Abdelmalik Taleb-Ahmed (1)

1 LAMIH - Laboratoire d'Automatique, de Mécanique et d'Informatique industrielles et Humaines - UMR 8201

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/fβ 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. © 2015 IEEE.

Mots clés: 1/ fβ - noise; fractional order integrator; IIR filter; power series expansion; signal modeling

Domaines: Sciences de l'ingénieur [physics]

Youcef Ferdi, Mohamed Reda Lakehal, Abdelmalik Taleb-Ahmed. On the use of signal modelling techniques for simulating 1/ fβ –noise. International Conference on Synthesis, Modeling, Analysis and Simulation Methods and Applications to Circuit Design (SMACD), Sep 2015, Istanbul, Turkey. pp.1-4, ⟨10.1109/SMACD.2015.7301678⟩. ⟨hal-03658745⟩