Shifted-modi ed Chebyshev lters

S ENGÜL, Metin

Shifted-modi ed Chebyshev lters

Metin S ENGÜL (Kadir Has Üniversitesi, İstanbul, Türkiye)

Turkish Journal of Electrical Engineering and Computer Sciences

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Yıl: 2013 Cilt: 21 Sayı: 5 Sayfa Aralığı: 1351 - 1358 Metin Dili: İngilizce İndeks Tarihi: 29-07-2022

Shifted-modi ed Chebyshev lters

Öz:

This paper introduces a new type of lter approximation method that utilizes shifted-modi ed Chebyshevlters. Construction of the new lters involves the use of shifted-modi ed Chebyshev polynomials that are formed using the roots of conventional Chebyshev polynomials. The study also includes 2 tables containing the shifted-modi ed Chebyshev polynomials and the normalized element values for the low-pass prototype lters up to degree 6. The transducer power gain, group delay, and impulse and step responses of the proposed lters are compared with those of the Butterworth and Chebyshev lters, and a sixth-order lter design example is presented to illustrate the implementation of the new method.

Anahtar Kelime:

Konular: Mühendislik, Elektrik ve Elektronik

Belge Türü: Makale Makale Türü: Araştırma Makalesi Erişim Türü: Erişime Açık

[1] B.A. Shenoi, Introduction to Digital Signal Processing and Filter Design, Hoboken, NJ, USA, Wiley, 2006.
[2] D. Baez-Lopez, V. Jimenez-Fernandez, Modi ed Chebyshev lter design", Canadian Conference on Electrical and Computer Engineering, Vol. 2, pp. 642{646, 2000.
[3] T. Zhi-hong, C. Qing-Xin, Determining transmission zeros of general Chebyshev lowpass prototype lter", International Conference on Microwave and Millimeter Wave Technology, pp. 1{4, 2007.
[4] S.K. Mitra, Digital Signal Processing: A Computer-Based Approach, 3rd ed., New York, McGraw-Hill, 2005.
[5] A.V. Oppenheim, R.W. Schafer, Discrete-Time Signal Processing, 2nd ed., Upper Saddle River, NJ, USA, Prentice Hall, 1999.
[6] P.P. Vaidyanathan, Multirate Systems and Filter Banks, Upper Saddle River, NJ, USA, Prentice Hall, 1993.
[7] N.K. Bose, Digital Filters: Theory and Application, New York, Elsevier, 1985.
[8] M.E. Van Valkenburg, Analog Filter Design, New York, Rinehart and Winston, 1982.
[9] W.D. Stanley, Digital Signal Processing, Reston Publishing, Reston, VA, USA, 1975.
[10] M.F. Aburdene, T.J. Goodman, The discrete Pascal transform and its applications", IEEE Signal Processing Letters, Vol. 12, pp. 493-495, 2005.
[11] T.J. Goodman, M.F. Aburdene, Pascal lters", IEEE Transactions on Circuits and Systems I: Regular Papers, Vol. 55, pp. 3090-3094, 2008.
[12] H.G. Dimopoulos, Optimal use of some classical approximations in lter design", IEEE Transactions on Circuits and Systems II: Express Briefs, Vol. 54, pp. 780-784, 2007.
[13] U. C am, S. Olmez, A novel square-root domain realization of rst order all-pass lters", Turkish Journal of Electrical Engineering & Computer Sciences, Vol. 18, pp. 141-146, 2010.
[14] P. Richards, Universal optimum-response curves for arbitrarily coupled resonators" Proceedings of the IRE, Vol. 34, pp. 624-629, 1946.
[15] L. Storch, Synthesis of constant-time delay ladder networks using Bessel polynomials", Proceedings of the IRE, Vol. 42, pp. 1666-1675, 1954.
[16] A. Papoulis, Optimum lters with monotonic response", Proceedings of the IRE, Vol. 46, pp. 606-609, 1958.
[17] D.E. Johnson, Introduction to Filter Theory, Upper Saddle River, NJ, USA, Prentice Hall, 1976.
[18] A.I. Zverev, Handbook of Filter Synthesis, New York, Wiley, 1967.
[19] A. Budak, P. Aronhime, Transitional Butterworth{Chebyshev lters", IEEE Transactions on Circuit Theory, Vol. 18, pp. 413-415, 1971.
[20] C.S. Gargour, V. Ramachandran, A simple design method for transitional Butterworth-Chebyshev lters", Journal of the Institution of Electronic and Radio Engineers, Vol. 58, pp. 291-294, 1988.
[21] C.E. Chrisostomidis, S. Lucyszyn, On the theory of chained-function lters", IEEE Transactions on Microwave Theory and Techniques, Vol. 53, pp. 3142-3151, 2005.
[22] M. Guglielmi, G. Connor, Chained function lters", IEEE Microwave and Guided Wave Letters, Vol. 7, pp. 390{392, 1997.
[23] C.E. Chrisostomidis, M. Guglielmi, P. Young, S. Lucyszyn, Application of chained functions to low-cost microwave bandpass lters using standard PCB etching techniques" 30th European Microwave Conference, pp. 1{4, 2000.
[24] D.M. Pozar, Microwave Engineering, 3rd ed., Hoboken, NJ, USA, Wiley, 2005.

APA	S ENGÜL M (2013). Shifted-modi ed Chebyshev lters. , 1351 - 1358.
Chicago	S ENGÜL Metin Shifted-modi ed Chebyshev lters. (2013): 1351 - 1358.
MLA	S ENGÜL Metin Shifted-modi ed Chebyshev lters. , 2013, ss.1351 - 1358.
AMA	S ENGÜL M Shifted-modi ed Chebyshev lters. . 2013; 1351 - 1358.
Vancouver	S ENGÜL M Shifted-modi ed Chebyshev lters. . 2013; 1351 - 1358.
IEEE	S ENGÜL M "Shifted-modi ed Chebyshev lters." , ss.1351 - 1358, 2013.
ISNAD	S ENGÜL, Metin. "Shifted-modi ed Chebyshev lters". (2013), 1351-1358.

APA	S ENGÜL M (2013). Shifted-modi ed Chebyshev lters. Turkish Journal of Electrical Engineering and Computer Sciences, 21(5), 1351 - 1358.
Chicago	S ENGÜL Metin Shifted-modi ed Chebyshev lters. Turkish Journal of Electrical Engineering and Computer Sciences 21, no.5 (2013): 1351 - 1358.
MLA	S ENGÜL Metin Shifted-modi ed Chebyshev lters. Turkish Journal of Electrical Engineering and Computer Sciences, vol.21, no.5, 2013, ss.1351 - 1358.
AMA	S ENGÜL M Shifted-modi ed Chebyshev lters. Turkish Journal of Electrical Engineering and Computer Sciences. 2013; 21(5): 1351 - 1358.
Vancouver	S ENGÜL M Shifted-modi ed Chebyshev lters. Turkish Journal of Electrical Engineering and Computer Sciences. 2013; 21(5): 1351 - 1358.
IEEE	S ENGÜL M "Shifted-modi ed Chebyshev lters." Turkish Journal of Electrical Engineering and Computer Sciences, 21, ss.1351 - 1358, 2013.
ISNAD	S ENGÜL, Metin. "Shifted-modi ed Chebyshev lters". Turkish Journal of Electrical Engineering and Computer Sciences 21/5 (2013), 1351-1358.