A THEOREM ON REPEATED FILTERING
Antonije R. Djordjevic, Dejan V. Tošić, Milica D. Djuric-Jovicic · Journal of Circuits Systems and Computers · 2014
Repeatedly passing a signal through a low-pass filter may resemble using a Gaussian or hyper-Gaussian filter. Conditions are established for this resemblance. A theorem on approximation of Gaussian and hyper-Gaussian filters by a cascade of simple filters is established and the corresponding phase and group delay characteristics are analyzed. The theorem and the analysis are exemplified by cascading moving-average filters and the first-order Butterworth filters.