Design of Chebychev’s Low Pass Filters Using Nonuniform Transmission Lines
DOI:
https://doi.org/10.5614/itbj.ict.res.appl.2015.9.3.1Abstract
Transmission lines are utilized in many applications to convey energy as well as information. Nonuniform transmission lines (NTLs) are obtained through variation of the characteristic quantities along the axial direction. Such NTLs can be used to design network elements, like matching circuits, delay equalizers, filters, VLSI interconnections, etc. In this work, NTLs were analyzed with a numerical method based on the implementation of method of moment. In order to approximate the voltage and current distribution along the transmission line, a sum of basis functions with unknown amplitudes was introduced. As basis function, a constant function was used. In this work, we observed several cases such as lossless and lossy uniform transmission lines with matching and arbitrary load. These cases verified the algorithm developed in this work. The second example consists of nonuniform transmission lines in the form of abruptly changing transmission lines. This structure was used to design a Chebychev’s low pass filter. The calculated reflection and transmission factors of the filters showed some coincidences with the measurements.Downloads
References
Khalaj-Amirhosseini, M., Wideband or Multiband Complex Impedance Matching Using Microstrip Nonuniform Transmission Lines, Progress in Electromagnetics Research, 66, pp. 15-25, 2006.
Tang, C.C.H., Delay Equalization by Tapered Cutoff Waveguides, IEEE Transaction on Microwave Theory and Techniques, 12, pp. 608-615, Nov. 1964.
Roberts, P.P. & G.E. Town, Design of Microwave Filters by Inverse Scattering, IEEE Transaction on Microwave Theory and Techniques, 43, (4), Apr. 1995, pp. 739-743.
Burkhart, S.C. & Wilcox, R.B., Arbitrary Pulse Shape Synthesis via Nonuniform Transmission Lines, IEEE Transaction on Microwave Theory and Techniques, 38, pp. 1514-1518, Oct. 1990.
Hayden, L.A. & Tripathi, V.K., Nonuniform Coupled Microstrip Transversal Filters for Analog Signal Processing, IEEE Transaction on Microwave Theory and Techniques, 39, pp. 47-53, Jan. 1991.
Dhaene, T., Martens, L. & Zutter, D.D., Transient Simulation of Arbitrary Nonuniform Interconnection Structures Characterized by Scattering Parameters, IEEE Transaction on Circuits and Systems I, pp. 928-937, Nov. 1992.
Lu, K., An Efficient Method for Analysis of Arbitrary Nonuniform Transmission Lines, IEEE Transaction on Microwave Theory and Techniques, 45(1), pp. 9-14, Jan. 1997.
Oufi, E.A., Al Fuhaid, A.S. & Saied, M.M., Transient Analysis of Lossless Single-Phase Nonuniform Transmission Lines, IEEE Transaction on Power Delivery, pp. 1694-1700, Jul. 1994.
Curtins, H. & Shah, A.V., Step Response Of Lossless Nonuniform Transmission Lines With Power-Law Characteristic Impedance Function, IEEE Transaction on Microwave Theory and Techniques, pp. 1210-1212, Nov. 1985.
Cheldavi, A., Kamarei, M. & Safavi Naeini, S., Analysis of Coupled Transmission Lines with Power-Law Characteristic Impedance, IEEE Transaction on Electromagnetic Compatibility, pp. 308-312, Aug. 2000.
Kobayashi, K., Nemoto, Y. & Sato, R., Equivalent Circuits of Binomial Form Nonuniform Coupled Transmission Lines, IEEE Transaction on Microwave Theory and Techniques, pp. 817-824, Aug. 1981.
Cheldavi, A., Exact Analysis of Coupled Nonuniform Transmission Lines with Exponential Power Law Characteristic Impedance, IEEE Transaction on Microwave Theory and Techniques, pp. 197-199, Jan. 2001.
Cheldavi, A., Analysis of Coupled Hermite Transmission Lines, IEEE Proc. Microwave, Antennas and Propagation, pp. 279-284, Aug. 2003.
Khalaj-Amirhosseini, M., Analysis of Nonuniform Transmission Lines Using Taylors Series Expansion, International Journal of RF and Microwave Computer-Aided Engineering, 16(5), pp. 536-544, Sep. 2006.
Khalaj-Amirhosseini, M., Analysis of Nonuniform Transmission Lines Using Fourier Series Expansion, International Journal of RF and Microwave Computer-Aided Engineering, 17(3), pp. 345-352, May 2007.
Khalaj-Amirhosseini, M., Analysis of Coupled or Single Nonuniform Transmission Lines Using the Method of Moments, International Journal of RF and Microwave Computer-Aided Engineering, 18(4), pp. 376-382, July 2008.
Lucic, R., Juric-Grgic, I., & Jovic, V., FEM Analysis of Electromagnetic Transients in Liner Networks, European Transactions on Electrical Power, 19(6), pp. 890-897, 2009.
Pan, T.W., Hsue, C.W. & Huang, J.F., Arbitrary Filter Design by Using Nonuniform Transmission Lines, IEEE Microwave and Guided Wave Letters, 9(2), pp. 60-62, February 1999.
Juric-Grgic, I., Lucic, R. & Dabro, M., A Coupled Nonuniform Transmission Line Analysis Using FEM, International Transactions on Electrical Energy Systems, 23(8), pp. 1365-1372, 2013.
Shamaileh, K.A, & Dib, N. Design of Compact Dual-Frequency Wilkinson Power Divider Using Non-Uniform Transmission Lines, Progress in Electromagnetics Research C, 19, pp. 37-46, 2011.
Shamaileh, K.A., Qaroot, A., Dib, N. & Sheta, A., Design and Analysis of Multifrequency Wilkinson Power Dividers Using Nonuniform Transmission Lines, International Journal of RF and Microwave Computer-Aided Engineering, 21(5), pp. 526-533, 2011.
Hunter, I.C., Billonet, L., Jarry, B. & Guillon, P., Microwave Filters - Applications and Technology, IEEE Transaction on Microwave Theory and Techniques, 50(3), pp. 794-805, March 2002.
www.rogercorp.com (verified on August 1, 2015)
Hong, J.-S., Microstrip Filters for RF/Microwave Applications, 2nd ed., Wiley, 2011.