Millimeter-wave (mm-wave) applications such as the satellite communication (Sat-com) system and the fifth-generation (5G) mobile communication system have attracted a great deal of attention. In the mm-wave applications, a GaN device which can obtain high power at mm-wave band is considered as one of the promising device for power amplifiers (PA) as shown in Fig. 1 [1] . In order to realize the attractive GaN PA, a GaN device model with high accuracy at mm-wave band is required for design of GaN PA. However, there are still some problems to obtain a large-signal model with high accuracy at mm-wave band. One of the problems is trapping effects under large-signal operation. Modeling of trapping effects on drain current and trans-conductance has been already reported in [2] .This paper presents a GaN device model including trapping effects on non-linear capacitance and a Ka-band high efficiency GaN Doherty PA designed by using the proposed model.
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