An exemplary method of minimizing an effect of channel interaction among a plurality of channels in a multi-channel cochlear implant system includes empirically generating an electrical spread matrix that is specific to a patient and representative of a channel interaction among a plurality of channels defined by a plurality of electrodes of electrodes of a multi-channel cochlear implant system associated with the patient, generating a model electrical spread matrix that approximates the empirically generated electrical spread matrix and that has a band inverse matrix, and using the band inverse matrix to determine a set of stimulation current levels to be applied by way of a corresponding set of electrodes included in the plurality of electrodes in order to produce desired stimulation current levels at a plurality of stimulation sites within the cochlea in the presence of the channel interaction. Corresponding methods and systems are also disclosed.