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This paper presents a permeameter for the measurement of the complex permeability of magnetic thin films up to several GHz. The permeameter consists of a driving coil and a pickup coil. The magnetic properties of the magnetic thin film sample inserted into the pickup coil cause the change of the coupling between the driving and pickup coil. Then, the complex permeability of the sample can be obtained from the coupling variation. The geometry is optimized with respect to sensitivity and self resonance by field simulations using HFSS. Small residual errors at low frequencies are removed through vibrating sample magnetometer measurements.