Explicit form of new class of extremal filter functions with mini-max behaviour of summed sensitivity function

Pavlović, Vlastimir D.

doi:10.1080/00207217.2012.713026

Cited by 7 publications

(5 citation statements)

References 27 publications

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“…5. Structure of the selective low-pass FIR filter defined by (11) for N/2 = 5 in recursive realization.…”

Section: Linear Phase Fir Filter Functions With Equal Value Of Constant Group Delaymentioning

confidence: 99%

“…In [10], we proposed a method for the design of filter transfer function in an explicit form having the decreasing envelope of the summed sensitivity function in the pass-band. This type of filter function is known for better behaviour of the amplitude response when the filter is realized with real components [3], [4], [10], [11]. Also, in [12]- [15], we proposed a form of a prototype class of low frequency selective polynomial Manuscript received April 7, 2013; accepted November 14, 2013.…”

Section: Introductionmentioning

confidence: 99%

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Transitional Selective Linear Phase 1D FIR Filter Function Generated by Christoffel-Darboux Formula for Chebyshev Polynomials

Pavlović

Antić

Perić

et al. 2014

ElAEE

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In this paper we propose a new economical selective low-pass finite impulse response filter function. First, we describe the two types of already developed filters, and then we obtain three new different types of filters, by combining the previous ones. Also, the general form of the proposed filter is given. In order to verify the effectiveness of the proposed filter function, the cut-off frequencies of the stop-band and pass-band of the filter, for equal constant group delay, are analysed and compared with classical first and second type of filters. It is shown that proposed filter is efficient related to high selectivity and high values of attenuation in the stop-band of the filter.

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“…5. Structure of the selective low-pass FIR filter defined by (11) for N/2 = 5 in recursive realization.…”

Section: Linear Phase Fir Filter Functions With Equal Value Of Constant Group Delaymentioning

confidence: 99%

Section: Introductionmentioning

confidence: 99%

Transitional Selective Linear Phase 1D FIR Filter Function Generated by Christoffel-Darboux Formula for Chebyshev Polynomials

Pavlović

Antić

Perić

et al. 2014

ElAEE

View full text Add to dashboard Cite

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“…An established technique to increase the element tolerances in the design of selective passive filters or to decrease the adverse effect of limited gain-bandwidth product of operational amplifiers uses transfer function with a special type of magnitude response for which the pass-band ripple amplitude decreases with the frequency increment, [15][16]. Approximation filter fu nctions constructed in this work are such that have small pass-band magnitude ripples.…”

Section: Introductionmentioning

confidence: 98%

3D parametric analysis of the RC active Gegenbauer filters

Pavlović

Ilić

Cvetkovic

2013

2013 21st Telecommunications Forum Telfor (TELFOR)

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The paper proposes a precise analytical method for finding the explicit expression for the characteristic function of filters applicable to the design of RC active filters. The adverse parasite effects of limited finite gain-bandwidth product of operational amplifiers are decreased by using filters with the low pass-band attenuation. The new class of continual filter functions generated by analytical method by extremal Christoffel-Darboux formula for orthogonal Gegenbauer polynomials has two parameters, the filter order, n , and the real free parameter, V , provides a wide range of the amplitude responses, [5]. In this paper, a detailed analysis of attenuation in the bandwidth and insertion loss around the stop-band cut-off frequency, ffi es ' are carried out using 3D plots on the example of the filter function of the 12-th order.

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“…Due to the effect of element tolerances and the limited gain-bandwidth product of operational amplifiers used in passive and active filter realizations, the pass-band response of the filter departs from the theoretical optimum much more in the frequency range near the band edge frequency than in the rest of the pass-band. An established technique to increase the element tolerances in the design of selective passive filters or to decrease the adverse effect of limited gain-bandwidth product of operational amplifiers uses transfer function with a special type of magnitude response for which the pass-band ripple amplitude decreases with the frequency increment, [17,18]. Some designs of lowsensitivity RC active filters are considered in literature [19][20][21][22][23].…”

Section: Introductionmentioning

confidence: 99%

Analysis of finite tolerance effect of critical pole on characteristics of selective RC active special Gegenbauer filters

2013

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A precise analytical method for finding the explicit expression for the characteristic function of special Gegenbauer filters applicable to the design of RC active filters is suggested in this paper. The adverse parasite effects of limited finite gain-bandwidth product of operational amplifiers are decreased by using filters with the low pass-band attenuation. The new class of continual filter functions generated by analytical method by extremal Christoffel-Darboux formula for orthogonal Gegenbauer polynomials has two parameters. One is the filter order, n, and the second one is real free parameter, v, which provides a wide range of the amplitude responses. In this paper, a detailed analysis of attenuation and insertion loss in the bandwidth and around the stop-band cutoff frequency,  cs , are carried out using 3D plots and using examples of the effect of finite tolerance of quality factor module, Q, of critical conjugate-complex poles of considered RC active filter functions.

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Explicit form of new class of extremal filter functions with mini-max behaviour of summed sensitivity function

Cited by 7 publications

References 27 publications

Transitional Selective Linear Phase 1D FIR Filter Function Generated by Christoffel-Darboux Formula for Chebyshev Polynomials

Transitional Selective Linear Phase 1D FIR Filter Function Generated by Christoffel-Darboux Formula for Chebyshev Polynomials

3D parametric analysis of the RC active Gegenbauer filters

Analysis of finite tolerance effect of critical pole on characteristics of selective RC active special Gegenbauer filters

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