Abstract:
In this paper we propose a fractional lowpass transfer function of the order (n + α) where n is an integer and 0 <; α <; 1. We show how this filter can be designed using ...Show MoreMetadata
Abstract:
In this paper we propose a fractional lowpass transfer function of the order (n + α) where n is an integer and 0 <; α <; 1. We show how this filter can be designed using an integer-order transfer function approximation of the fractional-order Laplacian operator sα. A 1st order lowpass filter with fractional steps from 0.1 to 0.9, that is of order 1.1 to 1.9 is given as an example with its characteristics compared to 1st and 2nd order Butterworth filters. PSPICE simulations and experimental results of a prototype filter verify the operation of the fractional step filter.
Date of Conference: 30 May 2010 - 02 June 2010
Date Added to IEEE Xplore: 03 August 2010
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Keywords assist with retrieval of results and provide a means to discovering other relevant content. Learn more.
- IEEE Keywords
- Index Terms
- Fractionation Step ,
- Low-pass ,
- Transfer Function ,
- Order Butterworth Filter ,
- Order Low-pass Filter ,
- Simulation Results ,
- Magnitude Of Response ,
- High-pass Filter ,
- Error Propagation ,
- Pass Filter ,
- Electronic Circuits ,
- Filter Order ,
- Characteristic Equation ,
- Filter Response ,
- Operational Amplifier ,
- Fractional Operator ,
- Integer Order ,
- Fractional-order Systems ,
- Bandpass Response ,
- High-order Filter
Keywords assist with retrieval of results and provide a means to discovering other relevant content. Learn more.
- IEEE Keywords
- Index Terms
- Fractionation Step ,
- Low-pass ,
- Transfer Function ,
- Order Butterworth Filter ,
- Order Low-pass Filter ,
- Simulation Results ,
- Magnitude Of Response ,
- High-pass Filter ,
- Error Propagation ,
- Pass Filter ,
- Electronic Circuits ,
- Filter Order ,
- Characteristic Equation ,
- Filter Response ,
- Operational Amplifier ,
- Fractional Operator ,
- Integer Order ,
- Fractional-order Systems ,
- Bandpass Response ,
- High-order Filter