A bilateral hearing implant system comprising: implanted left-side and right-side electrode arrays , each with a plurality of stimulation contacts for delivering electrode stimulation signals to adjacent auditory neural tissue ; left- and right-side filter banks configured to process left- and right-side audio input signals to generate corresponding left- and right-side pluralities of band pass signals, wherein each band pass signal represents an associated band of audio frequencies in the audio input signal; an interaural time delay (ITD) processing module; and a plurality of audio processing stages; characterised in that : the interaural time delay (ITD) processing module is configured to: i. estimate ITDs for the band pass signals by calculating an ITD histogram from overlapping measurement time windows, ii. determine a standard deviation of the ITD histogram to characterize accuracy of the estimated ITDs, and iii. use the estimated ITDs as a function of estimation accuracy to adjust interaural level differences (ILDs) in the band pass signals; and the plurality of audio processing stages are configured to use the adjusted band pass signals to generate left-side and right-side electrode stimulation signals for the stimulation contacts in the corresponding left-side and right-side electrode arrays . implanted left-side and right-side electrode arrays , each with a plurality of stimulation contacts for delivering electrode stimulation signals to adjacent auditory neural tissue ; left- and right-side filter banks configured to process left- and right-side audio input signals to generate corresponding left- and right-side pluralities of band pass signals, wherein each band pass signal represents an associated band of audio frequencies in the audio input signal; an interaural time delay (ITD) processing module; and a plurality of audio processing stages; characterised in that : the interaural time delay (ITD) processing module is configured to: i. estimate ITDs for the band pass signals by calculating an ITD histogram from overlapping measurement time windows, ii. determine a standard deviation of the ITD histogram to characterize accuracy of the estimated ITDs, and iii. use the estimated ITDs as a function of estimation accuracy to adjust interaural level differences (ILDs) in the band pass signals; and the plurality of audio processing stages are configured to use the adjusted band pass signals to generate left-side and right-side electrode stimulation signals for the stimulation contacts in the corresponding left-side and right-side electrode arrays . the interaural time delay (ITD) processing module is configured to: i. estimate ITDs for the band pass signals by calculating an ITD histogram from overlapping measurement time windows, ii. determine a standard deviation of the ITD histogram to characterize accuracy of the estimated ITDs, and iii. use the estimated ITDs as a function of estimation accuracy to adjust interaural level differences (ILDs) in the band pass signals; and i. estimate ITDs for the band pass signals by calculating an ITD histogram from overlapping measurement time windows, ii. determine a standard deviation of the ITD histogram to characterize accuracy of the estimated ITDs, and iii. use the estimated ITDs as a function of estimation accuracy to adjust interaural level differences (ILDs) in the band pass signals; and the plurality of audio processing stages are configured to use the adjusted band pass signals to generate left-side and right-side electrode stimulation signals for the stimulation contacts in the corresponding left-side and right-side electrode arrays . <EOS>