On the practical realization of higher-order filters with fractional stepping

• DOI: 10.1016/j.sigpro.2010.06.018
• Publication Date: 2010-06-24T04:55:04Z
• Authors: B. Maundy; A.S. Elwakil; T.J. Freeborn
• Keywords: 0202 electrical engineering, electronic engineering, information engineering; 02 engineering and technology

We propose the use of a compact integer-order transfer function approximation of the fractional-order Laplacian operator s^@a to realize fractional-step filters. Lowpass and bandpass filters of orders (n+@a) and 2(n+@a), where n is an integer and 0 5.9) is given as an example with its characteristics compared to 5th- and 6th-order Butterworth filters. Spice simulations and experimental results are shown.