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Using a complementary spiral resonator mounted on the power plane, simultaneous switching noise and ground bouncing noise can be suppressed over a very wideband from 0.22 to 12.5 GHz under a noise suppression margin of -25 dB. Not only the suppression characteristic under 12.5 GHz is possible, but also over the higher frequency band, because the proposed structure operates like an RF choke. Therefore, the proposed structure can satisfy the 10% noise margin for the voltage swing ratio for both periodic and random clock signals. A size of 3.2 mm is necessary for the diameter of the resonator on the power plane, and is comparable to a clearance pad size with diameter of 3.0 mm in a ground plane. Hence, the small size helps to reduce the discontinuity of the return current path; therefore, signal integrity problems and the degrees of freedom for power plane design of an electromagnetic bandgap structure are enhanced. Moreover, the effects of inductance and capacitance in the spiral resonator are analyzed for modeling. As a result, the suppression bandwidth and resonance frequency are controlled by the arm length and gap of spiral resonator. In addition, by applying two different sizes of resonators, it is shown that a multiresonance effect is also obtained.