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Over the past three decades, our laboratory has conducted several investigations designed to measure and to increase knowledge concerning the processing of interaural temporal disparities (ITDs) conveyed within high-frequency auditory channels. Historically, ITD-processing at high frequencies, for which the envelope conveys the information has been found to be less efficient than that measured at low frequencies, for which the fine-structure conveys the information. Using a variety of high-frequency, complex stimuli, we have shown that ITD-processing at high frequencies can rival that at low-frequencies in terms of resolution of ITDs, extents of ITD-based laterality and resistance to the “binaural interference.” Recently, we have utilized “raised-sine” high-frequency stimuli to investigate which particular features of the envelopes of high-frequency waveforms foster enhanced ITD processing. Such raised-sine stimuli permit independent variation of the modulation frequency, modulation depth, and “dead-time/relative peakedness” of the envelope of a high-frequency waveform, while also suitably restricting its spectral content. It will be seen that an interaural correlation-based model that, importantly, includes stages of peripheral auditory processing (bandpass filtering, rectification, compression, low-pass filtering) can provide excellent quantitative fits to a wide variety of empirical data concerning ITD-processing.