The present disclosure provides systems and methods for generating pulsed waveforms that approximate colored noise for use in a neurostimulation system. An implantable neurostimulation system includes an implantable stimulation lead including a plurality of contacts, and an implantable pulse generator communicatively coupled to the stimulation lead. The pulse generator is configured to generate a pulsed waveform that approximates colored noise using at least one of a thresholding method and an optimization method, and cause stimulation to be delivered by the stimulation lead based on the pulsed waveform.