On The Optimization of Fractional Order Low-Pass Filters

This paper presents three different optimization cases for normalized fractional order low-pass filters (LPFs) with numerical, circuit and experimental results. A multi-objective optimization technique is used for controlling some filter specifications, which are the transition bandwidth, the stop b...

Full description

Saved in:
Bibliographic Details
Published in:Circuits, systems, and signal processing systems, and signal processing, 2016-06, Vol.35 (6), p.2017-2039
Main Authors: Said, Lobna A., Ismail, Samar M., Radwan, Ahmed G., Madian, Ahmed H., Abu El-Yazeed, Mohamed F., Soliman, Ahmed M.
Format: Article
Language:English
Subjects:
Circuits
Circuits and Systems
Degrees of freedom
Electrical Engineering
Electronics and Microelectronics
Engineering
Filters
Gain
Instrumentation
Low pass filters
Mathematical analysis
Mathematical models
Optimization
Signal,Image and Speech Processing
Specifications
Citations: Items that this one cites
Items that cite this one
Online Access:Get full text
Tags: Add Tag
No Tags, Be the first to tag this record!
Description
Summary:This paper presents three different optimization cases for normalized fractional order low-pass filters (LPFs) with numerical, circuit and experimental results. A multi-objective optimization technique is used for controlling some filter specifications, which are the transition bandwidth, the stop band frequency gain and the maximum allowable peak in the filter pass band. The extra degree of freedom provided by the fractional order parameter allows the full manipulation of the filter specifications to obtain the desired response required by any application. The proposed mathematical model is further applied to a case study of a practical second- generation current conveyor (CCII)-based fractional low-pass filter. Circuit simulations are performed for two different fractional order filters, with orders 1.6 and 3.6, with cutoff frequencies 200 and 500 Hz, respectively. Experimental results are also presented for LPF of 4.46 kHz cutoff frequency using a fabricated fractional capacitor of order 0.8, proving the validity of the proposed design approach.
ISSN:0278-081X
1531-5878
DOI:10.1007/s00034-016-0258-y