A neurostimulator system (170) stimulates excitable muscle or neural tissue through multiple electrodes (E1, E2, . . . En) fast enough to induce stochastic neural firing, thereby acting to restore "spontaneous" neural activity. The type of stimulation provided by the neurostimulator involves the use of a high rate, e.g., greater than about 2000 Hz, pulsatile stimulation signal generated by a high rate pulse generator (172). The stream of pulses generated by the high rate pulse generator is amplitude modulated in an output driver circuit (176) with control information, provided by a modulation control element (178). Such amplitude-modulated pulsatile stimulation exploits the subtle electro physiological differences between cells comprising excitable tissue in order to desynchronize action potentials within the population of excitable tissue. Such desynchronization induces a wider distribution of population thresholds, as well as a wider electrical dynamic range, thereby better mimicking biological recruitment characteristics.