This letter proposes an RF model of through-silicon via (TSV) considering both skin-depth and lossy substrate effects up to 20 GHz. The TSV is fabricated in 0.18-mu m SiGe BiCMOS process with the dimensions of 50 mu m in diameter and 100 mu m in depth. The equivalent circuit model is extracted from the measured results and physical structure of a single TSV. The frequency-dependent characteristics of TSV can be completely modeled by frequency-independent lumped elements through parameter extraction. Furthermore, a fully integrated SiGe power amplifier (PA) with TSVs is designed to verify the accuracy of the RF model of TSV. Meanwhile, a PA without TSVs is fabricated to compare the performance of the PA with TSVs. Due to the low parasitic impedance of TSVs, the PA with TSVs achieves better performance than that without TSVs, where the improvement is 0.5 dB in power gain and 2% in power-added efficiency, respectively.
