A Design Method of Multimode Multiband Bandpass Filters

In this paper, a general design method for multiband filters is proposed. First, the frequency and element transformations from a low-pass prototype filter to a practical multiband bandpass filter is derived. Afterwards, formulas for extracting the coupling coefficient <inline-formula> <tex-math notation="LaTeX">$k$ </tex-math></inline-formula> between coupled multimode resonators and the external quality factor <inline-formula> <tex-math notation="LaTeX">$Q_{e}$ </tex-math></inline-formula> are also obtained. Thereafter, the design procedure of coupled multiresonator multiband filters is similar to that of single-band filters. A tri-band microstrip filter with tri-mode resonators is successfully designed with the proposed method and fabricated, which validates this theory.

[1]  Raafat R. Mansour,et al.  Microwave Filters for Communication Systems: Fundamentals, Design and Applications , 2007 .

[2]  Feng Wei,et al.  Compact UWB Bandpass Filter With Dual Notched Bands Based on SCRLH Resonator , 2011, IEEE Microwave and Wireless Components Letters.

[3]  H. Funkhouser.  A Short Account of the History of Symmetric Functions of Roots of Equations , 1930 .

[4]  Jiasheng Hong,et al.  Design of Dual-Mode Dual-Band Superconducting Filters , 2017, IEEE Transactions on Applied Superconductivity.

[5]  G. Macchiarella,et al.  Design techniques for dual-passband filters , 2005, IEEE Transactions on Microwave Theory and Techniques.

[6]  Jin Xu,et al.  Compact Multi-Band Bandpass Filters With Mixed Electric and Magnetic Coupling Using Multiple-Mode Resonator , 2015, IEEE Transactions on Microwave Theory and Techniques.

[7]  Fan Zhang,et al.  Compact Quad-Band Bandpass Filter Using Quad-Mode Stepped Impedance Resonator and Multiple Coupling Circuits , 2017, IEEE Transactions on Microwave Theory and Techniques.

[8]  Fu-Chang Chen,et al.  A Novel Crossed Resonator and Its Applications to Bandpass Filters , 2009, IEEE Transactions on Microwave Theory and Techniques.

[9]  Fu-Chang Chen,et al.  Design of Compact Tri-Band Bandpass Filters Using Assembled Resonators , 2009, IEEE Transactions on Microwave Theory and Techniques.

[10]  Dimitrios Peroulis,et al.  Fully Adaptive Multiband Bandstop Filtering Sections and Their Application to Multifunctional Components , 2016, IEEE Transactions on Microwave Theory and Techniques.

[11]  Lei Zhu,et al.  Compact Dual-Mode Triple-Band Bandpass Filters Using Three Pairs of Degenerate Modes in a Ring Resonator , 2011, IEEE Transactions on Microwave Theory and Techniques.

[12]  Chang-Hong Liang,et al.  Shorted-Ended Stepped-Impedance Dual-Resonance Resonator and Its Application to Bandpass Filters , 2013, IEEE Transactions on Microwave Theory and Techniques.

[13]  Ruey-Beei Wu,et al.  Design of Dual- and Triple-Passband Filters Using Alternately Cascaded Multiband Resonators , 2006, IEEE Transactions on Microwave Theory and Techniques.

[14]  Hui-Hsiang Huang,et al.  Synthesizing a Multiband LTCC Bandpass Filter With Specified Transmission- and Reflection-Zero Frequencies , 2014, IEEE Transactions on Microwave Theory and Techniques.

[15]  Shih-Cheng Lin,et al.  Microstrip Dual/Quad-Band Filters With Coupled Lines and Quasi-Lumped Impedance Inverters Based on Parallel-Path Transmission , 2011, IEEE Transactions on Microwave Theory and Techniques.

[16]  Jia-Sheng Hong,et al.  Microstrip Filters for RF Microwave Applications 2nd Edition , 2011 .

[17]  Shau-Gang Mao,et al.  Triple-Band Marchand Balun Filter Using Coupled-Line Admmittance Inverter Technique , 2013, IEEE Transactions on Microwave Theory and Techniques.

[18]  F. Seyfert,et al.  Certified Computation of Optimal Multiband Filtering Functions , 2008, IEEE Transactions on Microwave Theory and Techniques.

[19]  P Meyer,et al.  Filter Parameter Extraction for Triple-Band Composite Split-Ring Resonators and Filters , 2011, IEEE Transactions on Microwave Theory and Techniques.

[20]  Ke Wu,et al.  Dual-Band and Triple-Band Substrate Integrated Waveguide Filters With Chebyshev and Quasi-Elliptic Responses , 2007, IEEE Transactions on Microwave Theory and Techniques.

[21]  J. Bornemann,et al.  Coupling-Matrix Design of Dual and Triple Passband Filters , 2006, IEEE Transactions on Microwave Theory and Techniques.

[22]  E. Meijering.  A chronology of interpolation: from ancient astronomy to modern signal and image processing , 2002, Proc. IEEE.

[23]  Roberto Gomez-Garcia,et al.  Reconfigurable Multi-Band Microwave Filters , 2015, IEEE Transactions on Microwave Theory and Techniques.

[24]  Tri-band superconducting bandpass filter with high selectivity , 2013 .

[25]  Li Gao,et al.  Novel Multi-Stub Loaded Resonators and Their Applications to Various Bandpass Filters , 2014, IEEE Transactions on Microwave Theory and Techniques.

[26]  Yan Wang,et al.  Quad-Band High-Temperature Superconducting Bandpass Filter Using Quadruple-Mode Square Ring Loaded Resonator , 2014, IEEE Transactions on Microwave Theory and Techniques.

[27]  M. Salazar-Palma,et al.  Single-Band to Multiband Frequency Transformation for Multiband Filters , 2011, IEEE Transactions on Microwave Theory and Techniques.

[28]  Chang-Hong Liang,et al.  Synthesis of Cross-Coupled Triple-Passband Filters Based on Frequency Transformation , 2010, IEEE Microwave and Wireless Components Letters.

[29]  Ruey-Beei Wu,et al.  Design of Tri-Band Filters With Improved Band Allocation , 2009, IEEE Transactions on Microwave Theory and Techniques.

[30]  Jin Xu,et al.  Compact Microstrip Dual-/Tri-/Quad-Band Bandpass Filter Using Open Stubs Loaded Shorted Stepped-Impedance Resonator , 2013, IEEE Transactions on Microwave Theory and Techniques.

[31]  Ching-Ku Liao,et al.  New Multiband Coupling Matrix Synthesis Technique and Its Microstrip Implementation , 2010, IEEE Transactions on Microwave Theory and Techniques.

[32]  Tzyy-Sheng Horng,et al.  Highly Miniaturized Multiband Bandpass Filter Design Based on a Stacked Spiral Resonator Structure , 2012, IEEE Transactions on Microwave Theory and Techniques.

[33]  K. Sarabandi,et al.  Design of Triple-Passband Microwave Filters Using Frequency Transformations , 2008, IEEE Transactions on Microwave Theory and Techniques.