All-pass based IIR multiple notch filter design using Gr&amp;#x00F6;bner Basis

Thamrongmas, A.; Charoenlarpnopparut, Chalie

doi:10.1109/nds.2011.6076847

Cited by 5 publications

(6 citation statements)

References 5 publications

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“…Taking into account that A ( ) is monotonically decreasing function in ∈ [0, ], A (0) = 0, and A ( ) = −L , the magnitude response given by Equation 6 will match the one given by Equation 1 if Taking into account that A ( ) is monotonically decreasing function in ∈ [0, ], A (0) = 0, and A ( ) = −L , the magnitude response given by Equation 6 will match the one given by Equation 1 if…”

Section: Problem Formulationmentioning

confidence: 99%

“…[1][2][3][4][5][6][7][8][9] Realization of notch filter using cascaded second-order sections form structures inevitable leads to uncontrollable passband gains, 2,6 while iterative design methods based on utilization of convex optimization 3,4,9 or genetic algorithms 5 exhibit high complexity especially for a greater number of notch frequencies. [1][2][3][4][5][6][7][8][9] Realization of notch filter using cascaded second-order sections form structures inevitable leads to uncontrollable passband gains, 2,6 while iterative design methods based on utilization of convex optimization 3,4,9 or genetic algorithms 5 exhibit high complexity especially for a greater number of notch frequencies.…”

Section: Introductionmentioning

confidence: 99%

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Noniterative design of IIR multiple‐notch filters with improved passband magnitude response

Nikolić

Krstić²,

Stančić

2018

Circuit Theory & Apps

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A noniterative method for the all-pass-based design of infinite impulse response multiple-notch filters is proposed. This method ensures that specifications regarding positions of notch, left-and right-hand cutoff frequencies, are exactly met, leading to a symmetric magnitude response about notch frequencies. Passband magnitude response can be improved by increasing the order of the corresponding all-pass filter. KEYWORDS all-pass filter, IIR filter, multiple-notch filter, passband magnitude response Int J Circ Theor Appl. 2018;46:2561-2567.wileyonlinelibrary.com/journal/cta

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Section: Problem Formulationmentioning

confidence: 99%

Section: Introductionmentioning

confidence: 99%

Noniterative design of IIR multiple‐notch filters with improved passband magnitude response

Nikolić

Krstić²,

Stančić

2018

Circuit Theory & Apps

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“…A linear design equation is constructed to determine the all-pass filter coefficients which are used to characterize the desired multiple notch filters [1,41]. An improved method was proposed to design a notch filter with only two frequencies [42]. One advantage is that all-pass filterbased methods have normalized analytical forms with no iterative calculations.…”

Section: Introductionmentioning

confidence: 99%

“…However, these constraints can also lead to the following challenges [42]. The symmetric magnitude responses are too prohibitive for applications.…”

Section: Introductionmentioning

confidence: 99%

A generalized design framework for IIR digital multiple notch filters

Wang

Kundur

2015

EURASIP J. Adv. Signal Process.

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Digital multiple notch filters are used in a variety of applications to remove or suppress multiple sinusoidal or narrow-band interference in digital signals. In this paper, we propose an all-pass filter-based design framework for infinite impulse response (IIR) multiple notch filters. Our approach aims to overcome the limitations of former techniques through greater design capacity and performance. The proposed framework has versatility and enables the tailored use of design constraints thus providing a family of possible multiple notch filter design methods. The design performance and practicality of the proposed framework are verified empirically by a series of experimental results and different applications.

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“…But it usually leads to uncontrollable magnitude response distortion which must be avoided in notch filter design [6] [7]. The all-pass filter based design method is the effective analytic approach, but its linear equation is potential ill-conditioned (due to the used tangent calculations) and may results in failure for some certain specifications [8] [9].…”

Section: Introductionmentioning

confidence: 99%

Digital Multiple Notch Filter Design Based on Genetic Algorithm

Wang

Song

Yuan

2014

2014 Fourth International Conference on Instrumentation and Measurement, Computer, Communication and Control

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Digital multiple notch filters are applied to remove or suppress several narrow-band interference components simultaneously in a digital signal while preserve the other frequency components unchanged. A novel design method of an infinite impulse response (IIR) multiple notch filter is presented in this paper. It is based on genetic algorithm (GA) which is one of the very effective tools of optimization. Firstly, the rational system function of the notch filter is constructed and the optimized objects are determined. Secondly, the pole angles related notch bandwidths are optimized by genetic algorithm. Finally, the effectiveness and practicability are verified by some experimental results. The proposed design method obtains better magnitude response than the traditional cascading design method. It has good versatility and can be applied in speech processing, communication, biomedical engineering and other technical fields.Index Terms-Multiple notch filter, digital filter design, genetic algorithm, narrow-band interference suppression.

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All-pass based IIR multiple notch filter design using Gröbner Basis

Cited by 5 publications

References 5 publications

Noniterative design of IIR multiple‐notch filters with improved passband magnitude response

Noniterative design of IIR multiple‐notch filters with improved passband magnitude response

A generalized design framework for IIR digital multiple notch filters

Digital Multiple Notch Filter Design Based on Genetic Algorithm

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