1. A neurostimulation system comprising: a first sensor configured to acquire movement measurements for a subject; a second sensor configured to acquire neural measurements for the subject; and a computing device communicatively coupled to the first and second sensors, the computing device configured to: receive a movement signal from the first sensor related to tremors, bradykinesia, rigidity, gait problems, dyskinesia, and/or dysarthria; receive a neural signal from the second sensor related to local field potential (LFP), evoked potentials, and/or single-unit activity; utilize either the movement signal as a signal of interest and the neural signal as a trigger signal, or the neural signal as the signal of interest and the movement signal as the trigger signal; monitor for a trigger event in the trigger signal to thereby detect a plurality of the trigger events in the trigger signal over time; trigger recording of the signal of interest for a detection period, in response to each detection of the trigger event in the trigger signal, to thereby cause the signal of interest to be recorded for each of a plurality of detection periods; use the detections of the trigger event to align individual responses or cycles of the signal of interest over the plurality of detection periods; perform ensemble averaging of the aligned individual responses or cycles of the signal of interest to thereby produce an ensemble averaged signal of interest; and use the ensemble averaged signal of interest for at least one of administering stimulation by the neurstimulation system, or feedback in a closed-loop of the neurostimulation system.