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Updated: Apr 25, 2026

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Published on: December 30, 2025
Human time-frequency acuity beats the Fourier uncertainty principle
Jacob N Oppenheim1, Marcelo O Magnasco1
1Laboratory of Mathematical Physics, Rockefeller University, New York, New York 10065, USA.
Humans can perceive sound frequency and timing with remarkable acuity, often surpassing the time-frequency uncertainty principle. This suggests complex auditory processing in the brain, highlighting timing as crucial for understanding sounds.
Area of Science:
- Auditory Neuroscience
- Signal Processing
- Psychoacoustics
Background:
- The time-frequency uncertainty principle dictates a fundamental limit on simultaneously measuring a signal's temporal and frequency characteristics.
- Understanding the brain's capacity to process complex auditory information, especially transient sounds, is crucial for auditory perception research.
Purpose of the Study:
- To investigate human performance in simultaneously judging the frequency and timing of auditory signals.
- To explore the implications of human auditory perception exceeding theoretical uncertainty limits.
Main Methods:
- Human subjects were tasked with simultaneously judging the frequency and timing of presented sounds.
- Performance metrics were compared against the theoretical limits imposed by the time-frequency uncertainty principle.
Main Results:
- Participants frequently exceeded the time-frequency uncertainty limit, in some cases by over tenfold.
- This overperformance was primarily attributed to exceptional human timing acuity in auditory perception.
- Results challenge simple linear filter models of early auditory processing.
Conclusions:
- Human auditory processing of transient sounds employs nonlinear and complex algorithms, establishing a lower bound for their complexity.
- Timing acuity is a fundamental aspect of auditory object processing and perception.
- The brain's ability to parse sounds challenges conventional signal processing limitations.
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