In this thesis, a novel methodology of dual-passband filter design is presented. First, the conventional equivalent circuit of the dual-passband resonator is obtained by its frequency limits of lower and upper bands and then transformed into the equivalent one. Thereafter, the impedance matching condition and phase and impedance compensation are employed to improve λg/4 admittance inverters in order to acquire arbitrary frequency ratio design. The advantages of the design methodology are the elimination of DC passband and the deep rejection between two passbands. Based on the design methodology, a dual-passband filter is demonstrated. Its spurious passband is suppressed by replacing first and last inverters with tapped-lines. Consequently, over 25 dB spurious passband suppression is achieved. Furthermore, a 82.2 % size reduction is accomplished by substituting shunt stubs.