Design a resistively-loaded common-source stage using the provided circuit image with a total input-referred noise voltage of $100 \mu \mathrm{~V}_{\text {rms }}$, a power budget of 1 mW , a bandwidth of 1 GHz , and a supply voltage of 1 V . Neglect channel-length modulation and flicker noise and assume that the bandwidth is limited by the load capacitance.