Bessel Filters with Varying Parameters

Kaszyński, R.; Piskorowski, Jacek

doi:10.1109/imtc.2005.1604219

Cited by 18 publications

(10 citation statements)

References 6 publications

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“…In order to shorten the filter transient state one assumes functions from set F(t) on the basis of [7,8,10] as follows:…”

Section: Time-varying Parameters In Phase-compensated Filtersmentioning

confidence: 99%

“…For β f < 1 : where: β f -parameter which determines oscillations of functions from set F(t) (on the basis of [7,8] …”

Section: Time-varying Parameters In Phase-compensated Filtersmentioning

confidence: 99%

“…In the second case variation range d of function F 2 (t) is equal to 1.2. Detailed description of optimal selection of all function parameters was presented in [7,8,10]. …”

Section: Time-varying Parameters In Phase-compensated Filtersmentioning

confidence: 99%

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Phase-Compensated Time-Varying Butterworth Filters

Piskorowski¹

2006

Analog Integr Circ Sig Process

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One of the important problems of signal processing is to design the filters which possess linear phase characteristics. This paper presents the concept of time-varying Butterworth filters with linear phase. The compensation of the phase characteristics is carried out with the aid of phase shifter which is cascade-connected to the structure of the original Butterworth filter given by the transfer function. The parameters of the phase shifter were calculated in this way that the group delay of the designed filter is possible constant in the filter pass-band. Time varying coefficients were introduced to the phase-compensated filter structure for the purpose of minimization of the filter transient state. This paper contains simulation results of proposed filters and comparison with classic circuits.

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“…In order to shorten the filter transient state one assumes functions from set F(t) on the basis of [7,8,10] as follows:…”

Section: Time-varying Parameters In Phase-compensated Filtersmentioning

confidence: 99%

“…For β f < 1 : where: β f -parameter which determines oscillations of functions from set F(t) (on the basis of [7,8] …”

Section: Time-varying Parameters In Phase-compensated Filtersmentioning

confidence: 99%

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Phase-Compensated Time-Varying Butterworth Filters

Piskorowski¹

2006

Analog Integr Circ Sig Process

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“…Many theoretical works [1][2][3][4][5] as well as practical applications have been devoted to these systems. In particular, LTV systems can be applied in signal processing [6][7][8][9][10][11], especially in sampling systems [12], signal filtering and noise reduction [7,8,[13][14][15][16][17], and current compensators in power networks [18,19], amplifiers [5,20], chaos generators [21], electromagnetic launchers [22], and medical devices [23]. The main advantages of LTV system application include improvement of the dynamic properties of systems and reduction of the transient state [16,24].…”

Section: Introductionmentioning

confidence: 99%

Modelling of the First-Order Time-Varying Filters with Periodically Variable Coefficients

Piwowar¹,

Grabowski²

2017

Mathematical Problems in Engineering

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“…The indeterminacy principle [8] says that it is not possible to achieve a shorter rise time of the low-pass filter output signal when the filter passband is constant. However, it is possible to obtain significant changes of the duration of the transient state by the variation of the filter passband [9]. The theory of linear time-varying continuous-time systems is well established and was widely described [10]- [12].…”

Section: Introductionmentioning

confidence: 99%

A novel concept of phase-compensated continuous-time filters

Piskorowski

Kaszyński

2007

Analog Integr Circ Sig Process

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In this paper, we will address the question of how to design a continuous-time filter that provides both a constant delay and a maximally flat magnitude response over the desired frequency band, and at the same time ensures the transient of the designed filter as short as possible. The paper presents a theoretical concept of timevarying Butterworth filters with compensated group delay response. Using the compensated Butterworth filter, we introduce time-varying parameters to its structure for the purpose of the minimization of the transient that was lengthened because of the process of the compensation. Results verifying the effectiveness of the proposed approach are presented and compared to the traditional filters. This paper is an updated and extended version of Piskorowski, J. (2006). Analog Integrated Circuits and Signal Processing, 47, (2):233-241.

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Bessel Filters with Varying Parameters

Cited by 18 publications

References 6 publications

Phase-Compensated Time-Varying Butterworth Filters

Phase-Compensated Time-Varying Butterworth Filters

Modelling of the First-Order Time-Varying Filters with Periodically Variable Coefficients

A novel concept of phase-compensated continuous-time filters

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