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In a synchronous clock-distribution network, digital circuits switch simultaneously on the clock edge; therefore, they generate ground bounce due to sharp peaks of the supply current. We demonstrate an effective combination of two methodologies for ground-bounce reduction based on shaping the supply current: 1) introducing intentional skews to the synchronous clock network and 2) frequency modulation of the system clock. The former technique reduces the time-domain peaks as well as the spectral power of the supply current by spreading the simultaneous switching activities. The latter technique reduces the power contained in the clock harmonics by spreading this power into the side lobes formed around the clock harmonics without any change in the spectral power of the supply current. We also describe an analytical framework to analyze the impact of cycle-to-cycle variations of the supply current on the ground-bounce voltage. Simulation results for a 40K-gates circuit in a 0.18-μm 1.8-V CMOS process on a bulk-type substrate show around 26 dB reduction in the spectral peaks of the ground-bounce spectrum at the circuit resonance and factors of 3.04× and 2.64× reduction in the peak-to-peak and RMS values, respectively, of the ground bounce in the time domain when these two techniques are combined. These two techniques are believed to be good candidates for the development of digital low-noise designs in CMOS technologies.