Pitch resolution exceeds smeared bandwidth via peak-locating algorithms

Evidence

If pitch is not determined by periodicity, perhaps then by autocorrelation? Now we are getting somewhere. The first major peak in the autocorrelation after the ever-present peak at time 0 in the preceding example occurs at 0.00956 second, which corresponds to 104.6 Hz. If sounds resolve into several distinct pitches, these will have corresponding peaks in the autocorrelation. Pitch is associated with something more important than the presence or absence of a single partial: its tendency to repeat itself at given intervals. The generalization of this concept to sounds that are not strictly periodic is the autocorrelation function. Periodic signals will always have peaks at multiples of the period that mirror the peak at time zero. The analogs of such periodicity are peaks in the autocorrelation of nonperiodic signals. — Eric J. Heller, Why You Hear What You Hear- An…, 2033 (#qualifies, via linked claim)

Categorization

  • XREF: connects to: Pitch perception corresponds to peaks in the autocorrelation function — Eric J. Heller, Why You Hear What You Hear- An…, 2033; Human pitch discrimination far exceeds the ear’s filter resolution; Sharp spectral peaks, not narrow gaps, drive strong pitch perception

Broader Connections