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how to calculate resonance frequencies in UWB filter?

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Mahta

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Hello
I read an excellent paper with this title: " UWB bandpass filter with sharp rejection and narrow notched band" published in Electronics Letters journal in 2014.
I have some problems, please answer my questions:
I obtained characteristics impedance and electrical lengths with AppCAD software. Then I put characteristics impedance and electrical length in odd- and even- mode equations in the paper. I use MATLAB to solve equations and calculate resonant frequencies. But l can't obtain resonant frequencies correctly.
I don't know how to plot Fig. 3 in this paper?
did authors used numerical methods to solve equations?
If you know MATLAB code for solving it, please send me.
Good Luck and thanks a lot.
 

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