NEW TYPE OF NEARLY MONOTONIC PASSBAND FILTERS WITH SHARP CUTOFF

Dragana Živaljević, Saša V. Nikolić

DOI Number
10.22190/FUACR1701061Z
First page
61
Last page
72

Abstract


New type of nearly monotonic rational function with one pair of zeros on imaginary axis has been proposed. By using these new functions with zeros as a parameter, it is possible to make tradeoff between minimum stopband attenuation and selectivity of the amplitude characteristic. In order to present efficiency of the proposed filter, comparison with allpole filter monotonic in the passband and inverse Chebyshev filter is presented. Also, design example for the seventh order new type lowpass filter is given.

Keywords

Legendre polynomial, Christoffel-Darboux identity, orthogonal functions, all-pole filters, LC ladder network, lossless networks.

Full Text:

PDF

References


T. L. Deliyannis, Y. Sun, and J. K. Fidler, Continuous-Time Active Filter Design. Boca Raton: CRC Press LLC, 1999.

S. C. D. Roy, “Modified Chebyshev lowpass filters,” International Journal of Circuit Theory and Applications, vol. 38, no. 5, pp. 543–549, Jun. 2009.

H. G. Dimopoulos and E. Sarri, “The modified Pascal polynomial approximation and filter design method,” Int. J. Circ. Theor. Appl., vol. 40, no. 2, pp. 145–163, Feb. 2012.

S. Prasad, L. G. Stolarczyk, J. R. Jackson, and E. W. Kang, “Filter synthesis using Legendre polynomials,” Proc. IEE,, vol. 114, no. 8, pp. 1063–1064, Aug. 1967.

A. Papoulis, “Optimum filters with monotonic response,” Proceedings of the IRE, vol. 46, no. 3, pp. 906–609, Mar. 1958.

W. Thomson, “Delay networks having maximally flat frequency characteristics,” Proc. IEEE, vol. 96, no. part 3, pp. 487–490, 1949.

D. Živaljević, N. Stamenković, and V. Stojanović, “Nearly monotonic passband low-pass filter design by using sum-of-squared Legendre polynomials,” International Journal of 10 Circuit Theory and Applications, vol. 44, no. 1, pp. 147–161, 2016. [Online]. Available: http://dx.doi.org/10.1002/cta.2068

M. Abramowitz and I. Stegun, Handbook of Mathematical Functions with Formulas, Graphs, and Mathematical Tables, 9th ed. New York, Dover: National Bureau of Standards Applied Mathematics Series 55, 1972.

D. Johnson and J. Johnson, “Low-pass filters using ultraspherical polynomials,” IEEE Trans. on Circuits Theory, vol. 13, no. 4, pp. 364–369, 1966.

H. J. Orchard, “Inductorless filters,” Electronics Letters, vol. 2, no. 6, pp. 224–225, Sep. 1966.

N. Balabanian, Network Synthesis. New York: Prentice-Hall, 1958.

G. Daryanani, Principles of Network Synthesis and Design. New York: Jon Wiley and Sons, 1976.

R. Raut and M. N. S. Swamy, Modern Analog Filter Analysis and Design - A Practical Approach. Weinheim, Germany: Wiley-VCH, 2010.

A. Fettweis, “Digital filter structures related to classic filter networks,” AEU, vol. Band 25, no. 2, pp. 79–89, Feb. 1971.

T. Rathore, “A zero-shifting technique and its applications,” IETE Technical Review, vol. 2, no. 7, pp. 231–237, 1985. [Online]. Available: http://dx.doi.org/10.1080/02564602.1985.11437792

D. Živaljević, N. Stamenković, J. Živanić, “Sharp Cutoff Filters with Monotonic Passband Response”, 18th International Symposium on Electrical Apparatus and Technologies SIELA 2014, 29-31 May, 2014, Bourgas, Bulgaria, Proceedings of digests, pp: 141-142.




DOI: https://doi.org/10.22190/FUACR1701061Z

Refbacks

  • There are currently no refbacks.


Print ISSN: 1820-6417
Online ISSN: 1820-6425