For gallium nitride (GaN) high electron mobility transistors (HEMTs) distributed amplifiers (DAs), the relationship between gain and device size is analyzed in this letter when the total gate periphery is a reasonable and constant value. The analysis reveals that gain is a function of device size as the independent variable. With Lagrange analysis, a reasonable design for device size can be obtained to maximize the gain. Subsequently, a novel design method is proposed based on the theoretical derivation, aiming to enhance the gain performance of DAs. To validate the proposed design method, a broadband two-stage high-gain 10-W capacitively coupled DA has been implemented using the WIN 0.25- <tex-math notation="LaTeX">μ m </tex-math> GaN HEMTs process. The measured results of this nonuniform distributed amplifier (NDPA) show a small signal gain of 25 dB, an output power of 10–11 W, and an average power added efficiency (PAE) of more than 25% in the operating frequency range of 2–18 GHz. In addition, the designed NDPA monolithic microwave integrated circuit (MMIC) occupies a chip area of <tex-math notation="LaTeX">3600× 5000\,\,μ m² </tex-math> .
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Gong et al. (2024) studied this question.
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