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a design of the novel coupled-line bandpass filter using defected ...

a design of the novel coupled-line bandpass filter using defected ...

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54In order to have describes <strong>the</strong> DGS as lowpass <strong>filter</strong> characteristics, <strong>the</strong>equivalent circuit <strong>of</strong> proposed DGS unit section should be equal to <strong>the</strong> prototypelowpass <strong>filter</strong> at a certain frequency. The equality at <strong>the</strong> cut<strong>of</strong>f frequency <strong>of</strong> <strong>the</strong>lowpass <strong>filter</strong> is given by <strong>the</strong> following:XLC| = X |ω= ω L Ω= 1cFrom equality, <strong>the</strong> equivalent circuit <strong>of</strong> DGS BSF can calculate by equationC =ωZg102 20 1ω0-ωC1L =4πf C2 20atf 0 is attenuation pole frequencyf c is 3dB cut<strong>of</strong>f frequencyZ 0 is characteristic impedance (50 ohm)g 1 is <strong>the</strong> prototype value <strong>of</strong> <strong>the</strong> Butterworth lowpass <strong>filter</strong> (g 1 = 2)From response in Figure 3-13, f 0 = 12 GHz and f c = 8.5 GHz from this equationC = 0.18855 pF and L = 0.93295 nHSimulation <strong>of</strong> DGS BSF by Advance Design System

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