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Author: search.filters.author.Janchitrapongvej, K.Subject: search.filters.subject.Bernstein polynomials

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    On approximation of linear gain equalizer by q-Bernstein-Stancu operators and Möbius transformation
    (2018-07-02)
    Chutchavong, V.
    ;
    Dokyam, T.
    ;
    Janchitrapongvej, K.
    ;
    Benjangkaprasert, C.
    This paper presents the design of linear gain equalizer by using Bernstein polynomials including q-Bernstein-Stancu operator and Möbius transformation. This method has the adjustable parameters more than the many types of Bernstein operators, these parameters can use to adjust the important characteristics of a linear gain equalizer for the best result. The simulation results show maximally flat magnitude, non-minimum linear phase and nearly constant delay for both of low-gain and high-gain equalizer. Furthermore, the Mikhailov's criterion has been used to guarantee the stability of desired transfer function.
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    Low pass filters based on bernstein-balazs operators
    (2017-11-24)
    Chutchavong, V.
    ;
    Tharaphimaan, P.
    ;
    Anuwongpinit, T.
    ;
    Purahong, B.
    ;
    Janchitrapongvej, K.
    This paper presents a design of low-pass filter by using Bernstein-Balazs operators. It has more parameters than classical Bernstein polynomials. The parameters and can adjust maximally flat, slope of linear phase and constant of delay. In the results, the proposed method shows the magnitude response has maximally flat, linear with non-minimum phase and nearly constant delay. The example of applications of this proposed method is desired to design the gain equalizer at -1dB and confirm the stability of the approximated transfer function by Mihailov’s criterion.
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    Bernstein polynomial and rational Bézier curve for blood pressure simulation
    (2017-02-08)
    Kanjanasurat, I.
    ;
    Chutchavong, V.
    ;
    Pirajnanchai, V.
    ;
    Janchitrapongvej, K.
    This paper presents blood pressure waveform simulation using the Bernstein polynomial model, Bézier-Bernstein model, and Rational Bézier-Bernstein model. All mathematical models can generate the blood pressure waveform which is similar to the normal blood pressure waveform. Moreover, all mathematical models can simulate a normal blood pressure waveform as well. As the results, the Rational Bezier-Bernstein model is a simple form, low order, easy to implement in the microcontroller.
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    A mathematical model for ECG waveform using rational Bézier curves and Bernstein polynomials
    (2014-01-01)
    Chutchavong, V.
    ;
    Nualon, K.
    ;
    Sangaroon, O.
    ;
    Janchitrapongvej, K.
    This paper presents a mathematical model for ECG waveform using Rational Bezier curves and Bernstein polynomials. There are three mathematical models; the Bernstein polynomials model, the Bézier-Bernstein model and the Rational Bézier-Bernstein model. All mathematical models can generate the ECG waveform which is similar to the normal ECG waveform. Moreover, all mathematical models can simulate a normal ECG waveform as well. As the results, the Rational Bezier-Bernstein model is a simple form, easy to make a circuit and lower cost in the implementation of the ECG waveform. © 2014 IEEE.
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    An IIR digital video equalizer design with the bernstein polynomial and generalized bilinear transformation for gain chrominance distortion
    (2008-12-01)
    Chutchavong, V.
    ;
    Sangaroon, O.
    ;
    Pirajnanchai, V.
    ;
    Janchitrapongvej, K.
    Video equalizer design for compensated the distortion of the chrominance amplitude in color television transmission system is presented. The approximation is based on the Bernstein Polynomials and generalized bilinear transformation to obtain the transfer function. This approach has several parameters can be varied satisfying stability conditions. And the advantages of the Bernstein Polynomials when compared to the Butterworth, Chebyshev and Thomson Polynomials are three parameters available control the amount of phase and magnitude, linear phase, and flexible for variable of phase. Among all referred advantages so that these methodologies were applied in this paper. In addition, the pulse and bar test signal which has been used to measure linear waveform distortion in TV system is special the modulated 20T sine squared pulse with color sub-carrier 4.43 MHz for PAL system. As a result, the proposed digital video equalizer can be enhance and compress the gain chrominance distortion without degraded it phase characteristic.