A binaural cochlear implant system (system) includes first and second microphones associated with first and second ears of a patient, respectively. The microphones detect an audio signal presented to the patient and output first and second signals representative of the audio signal as detected at the first and second ears, respectively. The system also includes a first sound processor that receives the first signal from the first microphone and the second signal from a second sound processor by way of a communiation link with the second sound processors. The first sound processor generates first and second fine structure signals representative of fine structure information of the first and second fine structure signals. The first sound processor uses the timing pulse signal to represent to the patient an interaural time difference between the first and second signals.