Approximation of Amplitude Equalizer Based on q-Bessel Polynomials

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Published: Mar 30, 2018
Keywords:
q-Bessel Polynomials, non-minimum phase, amplitude equalizer, Mihailov’s criterion.

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Kanok Janchitrapongvej
Faculty of Science and Technology, Southeast Bangkok College, Bangkok, Thailand
Pongpan Rattanathanawan
Faculty of Science and Technology, Southeast Bangkok College, Bangkok, Thailand
Vanvisa Chutchavong2*
Faculty of Engineering, King Mongkut’s Institute of Technology Ladkrabang, Bangkok, Thailand

Abstract

In this paper, a method to equalize the amplitude distortion of linear slope signal in waveform transmission is presented. In order to design the linear gain slope amplitude equalizer with maximally flat group delay, a non-minimum phase network technique is utilized. Thus, the transmission zeros possess quadrant symmetry and the denominator of the transfer function is approximated by using q-Bessel polynomials. As it is known, the q-Bessel polynomial has more parameter to adjust than does the simple Bessel polynomials. In order to investigate the performance of the design equalizer.  Simulation of the proposed gain slope response is carried out. Moreover, the stability of the approximated transfer function is investigated by using a Mihailov’s criterion. It is shown that the simulation results agree with the theoretical ones.


Keywords: q-Bessel Polynomials, non-minimum phase, amplitude equalizer, Mihailov’s criterion.


*Corresponding author: E-mail: kcvanvis@kmitl.ac.th


 

Article Details

Issue
Vol. 14 No. 2 (2014)
Section
Review Ariticle

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References

[1] Sperry, R.V. and Surenian, D., 1960. A Transversal Equalizer for Television Circuits. The Bell System Technical Journal. 39,405-422.
[2] Janchitrapongvej, K., Seatia, S., Benjangkaprasert, C. and Tangtisanon, P., 2000. Capacitive Double Layer URC Line and Its Application to Active Filter. TENCON, 2(24-27), 23-25.
[3] Cameron, W. A., 1959. Coaxial Cable Performance. Electronics, Radio Engineer, Septem. pp. 349-352.
[4] Krall, H.L. and Frink, O., 1949 A New Class of Orthogonal Polynomails: The Bessel Polynomials. Trans. Amer. Math. Soc. 65(1), 100-115.
[5] Thomas Ernst, 2006. q-Bernoulli and q-Euler Polynomials. an Umbral Approach. International Journal of Difference Equations, 1(1), 31-80.
[6] Karni, S. and Ahmed, N., 1978. An Approximation to a Specified Magnitude using Non-Minimum Phase Networks. Proc. IEEE CAS, 817-825.
[7] Brafman, F., 1953 A Set of Generating Function for Bessel Polynomials. Proc. Amer. Math Soc. 41, 275-277.