New design approach of three-dimensional IIR notch filter using all-pass sections

This paper investigates the design problem of a multidimensional IIR notch filter. To address this issue, a 3-D recursive digital notch filter is considered. A closed-form analytical solution of the notch filter is firstly derived and used for its realisation. The latter is achieved through two type...

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Published inAustralian journal of electrical & electronics engineering Vol. 16; no. 4; pp. 276 - 280
Main Authors Chinoun, Ahmed, Mitiche, Lahcène, Adamou-Mitiche, Amel Baha Houda
Format Journal Article
LanguageEnglish
Published Taylor & Francis 02.10.2019
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Abstract This paper investigates the design problem of a multidimensional IIR notch filter. To address this issue, a 3-D recursive digital notch filter is considered. A closed-form analytical solution of the notch filter is firstly derived and used for its realisation. The latter is achieved through two types of filters: i) a 3-D IIR straight line filter and ii) 3-D IIR filter with order 1 1 1 based on all-pass sections. The straight-line filter is designed by frequency transformation of 3-D analogue prototype filter where a prescribed notch frequency is localised. The IIR filter is realised in proposed lattice structure as a cascade of all-pass sections where the 3-dB bandwidth of the notch filter can be adjusted by the lattice coefficient of the IIR filter independently.
AbstractList This paper investigates the design problem of a multidimensional IIR notch filter. To address this issue, a 3-D recursive digital notch filter is considered. A closed-form analytical solution of the notch filter is firstly derived and used for its realisation. The latter is achieved through two types of filters: i) a 3-D IIR straight line filter and ii) 3-D IIR filter with order 1 1 1 based on all-pass sections. The straight-line filter is designed by frequency transformation of 3-D analogue prototype filter where a prescribed notch frequency is localised. The IIR filter is realised in proposed lattice structure as a cascade of all-pass sections where the 3-dB bandwidth of the notch filter can be adjusted by the lattice coefficient of the IIR filter independently.
Author Adamou-Mitiche, Amel Baha Houda
Chinoun, Ahmed
Mitiche, Lahcène
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Snippet This paper investigates the design problem of a multidimensional IIR notch filter. To address this issue, a 3-D recursive digital notch filter is considered. A...
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StartPage 276
SubjectTerms 3-D notch filter
3-D spatial straight line filter
All-pass filter
digital filters
Title New design approach of three-dimensional IIR notch filter using all-pass sections
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Volume 16
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