Title
Maximal Flatness and Filters Transitional Between Butterworth and Inverse Chebyshev Ones
Abstract
The paper describes the family of filters which are transitional between Butterworth and inverse Chebyshev ones. Introducing a polynomial of squared frequency in the numerator of squared modulus of the Butterworth filter requires that a similar polynomial is added to the denominator of this squared modulus function if one wants to preserve the flatness property. After these two modifications are made the restoration of transfer function gives a transitional filter. If the polynomial introduced in the numerator includes all zeros of inverse Chebyshev filter then the restored filter will be the inverse Chebyshev filter. In case of partially restored flatness one obtain a transitional filter. An example of transitional filter for the fifth order Butterworth and inverse Chebyshev filters is calculated.
Year
DOI
Venue
2018
10.1109/NEWCAS.2018.8585488
2018 16th IEEE International New Circuits and Systems Conference (NEWCAS)
Keywords
Field
DocType
Network Theory,Approximation,Transitional Filters,Flatness,Butterworth Filter,Inverse Chebyshev Filter
Flatness (systems theory),Passband,Applied mathematics,Square (algebra),Polynomial,Computer science,Approximation theory,Electronic engineering,Low-pass filter,Chebyshev filter,Butterworth filter
Conference
ISSN
ISBN
Citations 
2472-467X
978-1-5386-4860-5
0
PageRank 
References 
Authors
0.34
0
2
Name
Order
Citations
PageRank
Igor Filanovsky1218.68
Nikolay T. Tchamov2177.82