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Time-reversal symmetry breaking is a key feature of nearly all naturalsounds, caused by the physics of sound production. While attention has beenpaid to the response of the auditory system to "natural stimuli," very fewpsychophysical tests have been performed. We conduct psychophysicalmeasurements of time-frequency acuity for both "natural" notes (sharp attack,long decay) and time-reversed ones. Our results demonstrate significantlygreater precision, arising from enhanced temporal acuity, for such "natural"sounds over both their time-reversed versions and theoretically optimalgaussian pulses, without a corresponding decrease in frequency acuity. Thesedata rule out models of auditory processing that obey a modified "uncertaintyprinciple" between temporal and frequency acuity and suggest the existence ofstatistical priors for naturalistic stimuli, in the form of sharp-attack,long-decay notes. We are additionally able to calculate a minimal theoreticalbound on the order of the nonlinearity present in auditory processing. We findthat only matching pursuit, spectral derivatives, and reassigned spectrogramsare able to satisfy this criterion.

Minimal Bounds on Nonlinearity in Auditory Processing