Year 2013, Volume 21, Issue 5, Pages 1351 - 1358 2013-05-01

Shifted-modified Chebyshev filters
Shifted-modified Chebyshev filters

Metin ŞENGÜL [1]

172 450

This paper introduces a new type of filter approximation method that utilizes shifted-modified Chebyshev filters. Construction of the new filters involves the use of shifted-modified Chebyshev polynomials that are formed using the roots of conventional Chebyshev polynomials. The study also includes 2 tables containing the shifted-modified Chebyshev polynomials and the normalized element values for the low-pass prototype filters up to degree 6. The transducer power gain, group delay, and impulse and step responses of the proposed filters are compared with those of the Butterworth and Chebyshev filters, and a sixth-order filter design example is presented to illustrate the implementation of the new method.
This paper introduces a new type of filter approximation method that utilizes shifted-modified Chebyshev filters. Construction of the new filters involves the use of shifted-modified Chebyshev polynomials that are formed using the roots of conventional Chebyshev polynomials. The study also includes 2 tables containing the shifted-modified Chebyshev polynomials and the normalized element values for the low-pass prototype filters up to degree 6. The transducer power gain, group delay, and impulse and step responses of the proposed filters are compared with those of the Butterworth and Chebyshev filters, and a sixth-order filter design example is presented to illustrate the implementation of the new method.
  • B.A. Shenoi, Introduction to Digital Signal Processing and Filter Design, Hoboken, NJ, USA, Wiley, 2006.
  • D. Baez-Lopez, V. Jimenez-Fernandez, “Modified Chebyshev filter design”, Canadian Conference on Electrical and Computer Engineering, Vol. 2, pp. 642–646, 2000.
  • T. Zhi-hong, C. Qing-Xin, “Determining transmission zeros of general Chebyshev lowpass prototype filter”, International Conference on Microwave and Millimeter Wave Technology, pp. 1–4, 2007.
  • S.K. Mitra, Digital Signal Processing: A Computer-Based Approach, 3rd ed., New York, McGraw-Hill, 2005.
  • A.V. Oppenheim, R.W. Schafer, Discrete-Time Signal Processing, 2nd ed., Upper Saddle River, NJ, USA, Prentice Hall, 1999.
  • P.P. Vaidyanathan, Multirate Systems and Filter Banks, Upper Saddle River, NJ, USA, Prentice Hall, 1993.
  • N.K. Bose, Digital Filters: Theory and Application, New York, Elsevier, 1985.
  • M.E. Van Valkenburg, Analog Filter Design, New York, Rinehart and Winston, 1982.
  • W.D. Stanley, Digital Signal Processing, Reston Publishing, Reston, VA, USA, 1975.
  • M.F. Aburdene, T.J. Goodman, “The discrete Pascal transform and its applications”, IEEE Signal Processing Letters, Vol. 12, pp. 493–495, 2005.
  • T.J. Goodman, M.F. Aburdene, “Pascal filters”, IEEE Transactions on Circuits and Systems I: Regular Papers, Vol. 55, pp. 3090–3094, 2008.
  • H.G. Dimopoulos, “Optimal use of some classical approximations in filter design”, IEEE Transactions on Circuits and Systems II: Express Briefs, Vol. 54, pp. 780–784, 2007.
  • U. C ¸ am, S. ¨ Olmez, “A novel square-root domain realization of first order all-pass filters”, Turkish Journal of Electrical Engineering & Computer Sciences, Vol. 18, pp. 141–146, 2010.
  • P. Richards, “Universal optimum-response curves for arbitrarily coupled resonators” Proceedings of the IRE, Vol. 34, pp. 624–629, 1946.
  • L. Storch, “Synthesis of constant-time delay ladder networks using Bessel polynomials”, Proceedings of the IRE, Vol. 42, pp. 1666–1675, 1954.
  • A. Papoulis, “Optimum filters with monotonic response”, Proceedings of the IRE, Vol. 46, pp. 606–609, 1958. D.E. Johnson, Introduction to Filter Theory, Upper Saddle River, NJ, USA, Prentice Hall, 1976.
  • A.I. Zverev, Handbook of Filter Synthesis, New York, Wiley, 1967.
  • A. Budak, P. Aronhime, “Transitional Butterworth–Chebyshev filters”, IEEE Transactions on Circuit Theory, Vol. 18, pp. 413–415, 1971.
  • C.S. Gargour, V. Ramachandran, “A simple design method for transitional Butterworth-Chebyshev filters”, Journal of the Institution of Electronic and Radio Engineers, Vol. 58, pp. 291–294, 1988.
  • C.E. Chrisostomidis, S. Lucyszyn, “On the theory of chained-function filters”, IEEE Transactions on Microwave Theory and Techniques, Vol. 53, pp. 3142–3151, 2005.
  • M. Guglielmi, G. Connor, “Chained function filters”, IEEE Microwave and Guided Wave Letters, Vol. 7, pp. 390–392, 1997.
  • C.E. Chrisostomidis, M. Guglielmi, P. Young, S. Lucyszyn, “Application of chained functions to low-cost microwave bandpass filters using standard PCB etching techniques” 30th European Microwave Conference, pp. 1–4, 2000. D.M. Pozar, Microwave Engineering, 3rd ed., Hoboken, NJ, USA, Wiley, 2005.
Primary Language tr
Journal Section Articles
Authors

Author: Metin ŞENGÜL

Dates

Publication Date: May 1, 2013

Bibtex @ { tbtkelektrik144072, journal = {Turkish Journal of Electrical Engineering and Computer Science}, issn = {1300-0632}, eissn = {1303-6203}, address = {TUBITAK}, year = {2013}, volume = {21}, pages = {1351 - 1358}, doi = {10.3906/elk-1112-26}, title = {Shifted-modified Chebyshev filters}, key = {cite}, author = {ŞENGÜL, Metin} }
APA ŞENGÜL, M . (2013). Shifted-modified Chebyshev filters. Turkish Journal of Electrical Engineering and Computer Science, 21 (5), 1351-1358. DOI: 10.3906/elk-1112-26
MLA ŞENGÜL, M . "Shifted-modified Chebyshev filters". Turkish Journal of Electrical Engineering and Computer Science 21 (2013): 1351-1358 <http://dergipark.org.tr/tbtkelektrik/issue/12053/144072>
Chicago ŞENGÜL, M . "Shifted-modified Chebyshev filters". Turkish Journal of Electrical Engineering and Computer Science 21 (2013): 1351-1358
RIS TY - JOUR T1 - Shifted-modified Chebyshev filters AU - Metin ŞENGÜL Y1 - 2013 PY - 2013 N1 - doi: 10.3906/elk-1112-26 DO - 10.3906/elk-1112-26 T2 - Turkish Journal of Electrical Engineering and Computer Science JF - Journal JO - JOR SP - 1351 EP - 1358 VL - 21 IS - 5 SN - 1300-0632-1303-6203 M3 - doi: 10.3906/elk-1112-26 UR - https://doi.org/10.3906/elk-1112-26 Y2 - 2019 ER -
EndNote %0 Turkish Journal of Electrical Engineering and Computer Science Shifted-modified Chebyshev filters %A Metin ŞENGÜL %T Shifted-modified Chebyshev filters %D 2013 %J Turkish Journal of Electrical Engineering and Computer Science %P 1300-0632-1303-6203 %V 21 %N 5 %R doi: 10.3906/elk-1112-26 %U 10.3906/elk-1112-26
ISNAD ŞENGÜL, Metin . "Shifted-modified Chebyshev filters". Turkish Journal of Electrical Engineering and Computer Science 21 / 5 (May 2013): 1351-1358. https://doi.org/10.3906/elk-1112-26
AMA ŞENGÜL M . Shifted-modified Chebyshev filters. Turkish Journal of Electrical Engineering and Computer Science. 2013; 21(5): 1351-1358.
Vancouver ŞENGÜL M . Shifted-modified Chebyshev filters. Turkish Journal of Electrical Engineering and Computer Science. 2013; 21(5): 1358-1351.