NDLI: Lowpass filters approximation based on modified Jacobi polynomials

Content Provider	IET Digital Library
Author	Stojanović, N. Stamenković, N. Krstić, I.
Abstract	The orthogonal Jacobi polynomials are not suitable for use as the characteristic function in the continuous- and discrete-time filter design, because they are not fulfilling the basic condition: to be pure odd or pure even. A simple modification of Jacobi polynomials, is performed to obtain a new filter approximating function is proposed. Magnitude frequency responses of obtained filters exhibit more general behaviour compared with that of classical Gegenbauer (ultraspherical) filters, due to one additional parameter available in the Jacobi polynomials. This parameter can be used to obtain magnitude response with either smaller passband ripple values (nearly monotonic behaviour), smaller group delay variations or sharper cutoff slope. The proposed modified Jacobi polynomials are not orthogonal, however, many known orthogonal polynomials can be obtained as theirs special cases.
Starting Page	140
Ending Page	142
Page Count	3
ISSN	00135194
Journal	Electronics Letters
e-ISSN	1350911X
Volume Number	53
Issue Number	Issue 3, Feb (2017)
Alternate Webpage(s)	https://digital-library.theiet.org/content/journals/10.1049/el.2016.3025;jsessionid=5fjahitgkc7hn.x-iet-live-01
Alternate Webpage(s)	https://digital-library.theiet.org/content/journals/el/53/3
Publisher Date	2017-01-04
Access Restriction	Open
Rights Holder	© The Institution of Engineering and Technology
Subject Keyword	Algebra Characteristic Function Continuous Time Filter Continuous-Time Filter Design Cutoff Slope Discrete Time Filter Discrete-time Filter Design Filter And Other Network Filter Approximating Function Frequency Response Gegenbauer Filter General Circuit Analysis And Synthesis Method Group Delay Variation Lowpass Filter Lowpass Filter Approximation Magnitude Frequency Response Modified Jacobi Polynomial Orthogonal Jacobi Polynomial Passband Ripple Value Polynomial Ultra Spherical Filter
Content Type	Text
Resource Type	Article
Subject	Electrical and Electronic Engineering

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