Butterworth Filters

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Jacek Piskorowski - One of the best experts on this subject based on the ideXlab platform.

  • synthesis of delay equalized time varying Butterworth Filters
    Asia Pacific Conference on Circuits and Systems, 2006
    Co-Authors: R. Kaszynski, Jacek Piskorowski
    Abstract:

    One of the important problems of analog signal processing is to design a filter which ensures a linear phase response, and at the same time possesses sharp and fast response in the time domain. This paper presents theoretical concept of time-varying Butterworth Filters with equalized group delay response. The concept consists in the introduction of time-varying coefficients to the phase-compensated filter structure for the purpose of minimization of the filter transient state. This paper contains simulation results of the proposed Filters, optimal values of the parameters of the functions of filter coefficients, solution of the undershoot problem, and comparison with the classic circuits.

  • New Concept of Delay Equalized Low-Pass Butterworth Filters
    2006 IEEE International Symposium on Industrial Electronics, 2006
    Co-Authors: R. Kaszynski, Jacek Piskorowski
    Abstract:

    One of the important problems of the analog signal processing is to design the Filters which possess linear phase response in the frequency domain and at the same time the sharpness of the step response in the time domain. This paper presents theoretical concept of time-varying Butterworth Filters with equalized group delay response. The compensation of the phase response is carried out with the aid of the allpass filter which is cascade-connected to the structure of the classic Butterworth filter. 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 the proposed Filters, solution of the undershoot problem, and comparison with the classic circuits.

  • Phase-Compensated Time-Varying Butterworth Filters
    Analog Integrated Circuits and Signal Processing, 2006
    Co-Authors: Jacek Piskorowski
    Abstract:

    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.

  • New Concept of Phase-Compensated Butterworth Filters
    MELECON 2006 - 2006 IEEE Mediterranean Electrotechnical Conference, 2006
    Co-Authors: R. Kaszynski, Jacek Piskorowski
    Abstract:

    This paper presents theoretical concept of time-varying Butterworth Filters with compensated group delay response. The compensation of the phase characteristics is carried out with the aid of a phase shifter which is cascade-connected to the structure of the classic Butterworth filter. 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 the proposed Filters and comparison with the classic circuits

  • APCCAS - Synthesis of Delay Equalized Time-Varying Butterworth Filters
    APCCAS 2006 - 2006 IEEE Asia Pacific Conference on Circuits and Systems, 2006
    Co-Authors: R. Kaszynski, Jacek Piskorowski
    Abstract:

    One of the important problems of analog signal processing is to design a filter which ensures a linear phase response, and at the same time possesses sharp and fast response in the time domain. This paper presents theoretical concept of time-varying Butterworth Filters with equalized group delay response. The concept consists in the introduction of time-varying coefficients to the phase-compensated filter structure for the purpose of minimization of the filter transient state. This paper contains simulation results of the proposed Filters, optimal values of the parameters of the functions of filter coefficients, solution of the undershoot problem, and comparison with the classic circuits.

Evgeni A. Bezus - One of the best experts on this subject based on the ideXlab platform.

  • Analytical design of flat-top transmission Filters composed of several resonant structures
    Optics Express, 2019
    Co-Authors: Leonid L. Doskolovich, Nikita V. Golovastikov, Dmitry A. Bykov, Evgeni A. Bezus
    Abstract:

    Resonant properties of composite structures consisting of several identical resonant structures (e.g. multilayer thin-film structures or guided-mode resonance gratings) separated by phase-shift layers are investigated theoretically. Using the scattering matrix formalism, we analytically demonstrate that, at properly chosen thicknesses of the phase-shift layers, the composite structures comprising two or four resonant diffractive structures with a Lorentzian transmittance profile optically implement the Butterworth Filters of the order two or three, respectively, and enable achieving flat-top transmission spectra with steep slopes and low sidebands. In addition, we show that the composite structures consisting of three or four second-order Butterworth Filters can accurately approximate the fourth- or fifth-order Butterworth Filters, respectively. The presented theoretical results are confirmed by rigorous numerical simulations of composite structures consisting of the so-called W-structures (simple three-layer resonant structures comprising a high-index core layer and two low-index cladding layers in a high-index dielectric environment). The simulation results confirm the formation of flat-top transmittance peaks, the shape of which fully agrees with the derived theoretical description. Moreover, we demonstrate an exceptionally simple mechanism of controlling the transmittance peak width, which consists in changing the thicknesses of the cladding layers of the initial W-structure and enables generating flat-top transmission peaks with a significantly subnanometer width.

Antonio Mecozzi - One of the best experts on this subject based on the ideXlab platform.

  • Soliton transmission control by Butterworth Filters.
    Optics letters, 1995
    Co-Authors: Antonio Mecozzi
    Abstract:

    Butterworth Filters of second or higher order periodically inserted along a soliton transmission line, although they are flat at bandpass center, give to first order a nonzero restoring force for frequency and amplitude displacements. The amplified spontaneous emission generated at the filter center frequency is significantly less than that generated with fixed etalons for the same damping strength.

Leonid L. Doskolovich - One of the best experts on this subject based on the ideXlab platform.

  • Analytical design of flat-top transmission Filters composed of several resonant structures
    Optics Express, 2019
    Co-Authors: Leonid L. Doskolovich, Nikita V. Golovastikov, Dmitry A. Bykov, Evgeni A. Bezus
    Abstract:

    Resonant properties of composite structures consisting of several identical resonant structures (e.g. multilayer thin-film structures or guided-mode resonance gratings) separated by phase-shift layers are investigated theoretically. Using the scattering matrix formalism, we analytically demonstrate that, at properly chosen thicknesses of the phase-shift layers, the composite structures comprising two or four resonant diffractive structures with a Lorentzian transmittance profile optically implement the Butterworth Filters of the order two or three, respectively, and enable achieving flat-top transmission spectra with steep slopes and low sidebands. In addition, we show that the composite structures consisting of three or four second-order Butterworth Filters can accurately approximate the fourth- or fifth-order Butterworth Filters, respectively. The presented theoretical results are confirmed by rigorous numerical simulations of composite structures consisting of the so-called W-structures (simple three-layer resonant structures comprising a high-index core layer and two low-index cladding layers in a high-index dielectric environment). The simulation results confirm the formation of flat-top transmittance peaks, the shape of which fully agrees with the derived theoretical description. Moreover, we demonstrate an exceptionally simple mechanism of controlling the transmittance peak width, which consists in changing the thicknesses of the cladding layers of the initial W-structure and enables generating flat-top transmission peaks with a significantly subnanometer width.

R. Kaszynski - One of the best experts on this subject based on the ideXlab platform.

  • synthesis of delay equalized time varying Butterworth Filters
    Asia Pacific Conference on Circuits and Systems, 2006
    Co-Authors: R. Kaszynski, Jacek Piskorowski
    Abstract:

    One of the important problems of analog signal processing is to design a filter which ensures a linear phase response, and at the same time possesses sharp and fast response in the time domain. This paper presents theoretical concept of time-varying Butterworth Filters with equalized group delay response. The concept consists in the introduction of time-varying coefficients to the phase-compensated filter structure for the purpose of minimization of the filter transient state. This paper contains simulation results of the proposed Filters, optimal values of the parameters of the functions of filter coefficients, solution of the undershoot problem, and comparison with the classic circuits.

  • New Concept of Delay Equalized Low-Pass Butterworth Filters
    2006 IEEE International Symposium on Industrial Electronics, 2006
    Co-Authors: R. Kaszynski, Jacek Piskorowski
    Abstract:

    One of the important problems of the analog signal processing is to design the Filters which possess linear phase response in the frequency domain and at the same time the sharpness of the step response in the time domain. This paper presents theoretical concept of time-varying Butterworth Filters with equalized group delay response. The compensation of the phase response is carried out with the aid of the allpass filter which is cascade-connected to the structure of the classic Butterworth filter. 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 the proposed Filters, solution of the undershoot problem, and comparison with the classic circuits.

  • New Concept of Phase-Compensated Butterworth Filters
    MELECON 2006 - 2006 IEEE Mediterranean Electrotechnical Conference, 2006
    Co-Authors: R. Kaszynski, Jacek Piskorowski
    Abstract:

    This paper presents theoretical concept of time-varying Butterworth Filters with compensated group delay response. The compensation of the phase characteristics is carried out with the aid of a phase shifter which is cascade-connected to the structure of the classic Butterworth filter. 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 the proposed Filters and comparison with the classic circuits

  • APCCAS - Synthesis of Delay Equalized Time-Varying Butterworth Filters
    APCCAS 2006 - 2006 IEEE Asia Pacific Conference on Circuits and Systems, 2006
    Co-Authors: R. Kaszynski, Jacek Piskorowski
    Abstract:

    One of the important problems of analog signal processing is to design a filter which ensures a linear phase response, and at the same time possesses sharp and fast response in the time domain. This paper presents theoretical concept of time-varying Butterworth Filters with equalized group delay response. The concept consists in the introduction of time-varying coefficients to the phase-compensated filter structure for the purpose of minimization of the filter transient state. This paper contains simulation results of the proposed Filters, optimal values of the parameters of the functions of filter coefficients, solution of the undershoot problem, and comparison with the classic circuits.

  • Dynamic Compensation of Phase Distortion in Time-Varying Butterworth Filters
    2006 IEEE Instrumentation and Measurement Technology Conference Proceedings, 2006
    Co-Authors: R. Kaszynski, Jacek Piskorowski
    Abstract:

    One of the important problems of analog 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 response. The compensation of the phase characteristics is carried out with the aid of a phase shifter which is cascade?connected to the structure of the classic Butterworth filter. 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 passband. Time?varying coefficients were introduced to the phase?compensated filter structure for the purpose of minimization of the filter transient state in the sense of the settling time. This paper contains simulation results of the proposed Filters and comparison with the classic circuits.