Recently, much studies have been done to include on-chip inductors for wireless communication IC design. The large area metal plane of the spiral inductor can form large capacitor to the silicon substrate. At high enough frequency, excitation of the inductor will induce noise to the substrate. In this paper, we will present the simulation results of the coupling effect of a planar spiral inductor on heavily and lightly doped substrate by using a compact model of the substrate. Results show that the insertion of a P+ diffusion guard ring can reduce about 15dB of noise for lightly doped substrate and 7dB of noise for heavily doped substrate at 3GHz. Variation in the size of the P+ diffusion guard ring affects the efficiency of noise reduction and also the inductance. Results show that in order to optimize for inductance, the side length of the guard ring needs to be twice the side length of the inductor and the guard ring can only reduce about 6dB of noise for lightly doped substrate and 1.5dB of noise for heavily doped substrate at 3GHz.