Frequency and time resolution are mutually exclusive trade-offs in any analysis of sound.

Evidence

Ideally, we want to be able to see high-resolution data in the frequency and time domains simultaneously. Unfortunately, this is not always possible; in general, you can have one or the other, not both. Figure 9.11 illustrates some examples of the consequences of making different choices in frequency and time resolutions. — Toole, Floyd E, Sound reproduction- the acoustics and…, 951 (#corroborates, via linked claim)

Categorization

• XREF: connects to: The human hearing system compromises between frequency and time resolution, unlike ideal filters; Time and frequency resolution cannot both be improved simultaneously — Toole, Floyd E, Sound reproduction- the acoustics and…, 951; Fast-changing acoustic signals necessarily occupy a wider spectral bandwidth. — David M. Howard, Jamie Angus, Acoustics and Psychoacoustics, 489 (+3 more)

Related

• Time and frequency resolution cannot both be improved simultaneously (similarity 0.92)
• The ear’s time-frequency resolution cannot be modeled by fixed-length frames (similarity 0.87)
• Spectral analysis cannot achieve fine time and frequency resolution simultaneously (similarity 0.86)
• Hearing’s temporal resolution varies from 1-2 ms depending on frequency (similarity 0.86)
• The human hearing system compromises between frequency and time resolution, unlike ideal filters (similarity 0.86)
• Good frequency resolution and good time resolution can never coexist (similarity 0.85)
• A sound’s time-domain rate of change determines its frequency-domain bandwidth (similarity 0.84)
• No filter can have both fast time response and narrow bandwidth simultaneously. (similarity 0.84)
• Shorter sounds necessarily have broader spectral bandwidths (similarity 0.84)
• Fast-changing acoustic signals necessarily occupy a wider spectral bandwidth. (similarity 0.83)
• Short sound durations necessarily produce broad frequency bandwidths. (similarity 0.83)
• Low-frequency IACC peaks are broader because phase changes more slowly with time lag (similarity 0.83)
• Normal hearing yields a temporal resolution factor near unity (similarity 0.82)
• Perception of changing sound requires simultaneous time and frequency resolution (similarity 0.81)
• DFT-based windowing explains basic auditory frequency resolution properties (similarity 0.81)

Broader Connections

• Time and frequency resolution cannot both be improved simultaneously #corroborates (0.98) — Toole, Floyd E, Sound reproduction- the acoustics and…, 951
• The human hearing system compromises between frequency and time resolution, unlike ideal filters #expands (0.95)
• Filtering a signal to narrow its bandwidth necessarily spreads it in time. #expands (0.90)
• Long sound durations are required for narrow frequency spectra #expands (0.85)
• Fast-changing acoustic signals necessarily occupy a wider spectral bandwidth. #expands (0.80) — David M. Howard, Jamie Angus, Acoustics and Psychoacoustics, 489
• Perception of changing sound requires simultaneous time and frequency resolution #expands (0.80)