A neuromodulation system comprises a plurality of electrical terminals configured for being respectively coupled to electrodes, modulation output circuitry configured for respectively outputting a plurality of individual electrical pulse trains in a plurality of timing channels to the electrical terminals, wherein each of the timing channels prevents the respective pulse train from having a specific characteristic, and control circuitry configured for controlling the modulation output circuitry in a manner that outputs the pulse trains to a common set of the electrical terminals, thereby creating a combined electrical pulse train at the common set of electrical terminals that has the specific characteristic. A method of providing therapy to a patient comprises delivering a plurality of electrical pulse trains respectively in a plurality of timing channels to a common set of electrodes implanted within the patient, thereby creating a combined electrical pulse train at the common set of electrical terminals.