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A CPW with electromagnetic bandgap (EBG CPW) is newly proposed for designing a transmission line with high impedance. After designing, fabricating, and evaluating the characteristic impedance of the proposed EBG CPW transmission line, it will be applied to an integrated unequal Wilkinson power divider. In the EM simulation, the EBG-CPW transmission line with 10 μm in line width has the same characteristic impedance as a CPW with a line width of 2.5 μm. The insertion and return losses of the fabricated power divider with a power ratio of 1 to 3 are less than -0.7 dB and -15 dB, respectively. It also has excellent isolation characteristics with more than -20 dB. The experimental results are good agreement with the simulation.