A filter’s time response is set by its bandwidth, not its center frequency
Evidence
Note that, if the absorption remains constant with frequency, the bandwidths of a mode are independent of their frequency—they are simply a function of the modal decay time. — David M. Howard, Jamie Angus, Acoustics and Psychoacoustics, 2012 (
#corroborates, via linked claim)
Categorization
- XREF: connects to: A filter’s inherent time response is determined by its bandwidth; Filtering a signal to narrow its bandwidth necessarily spreads it in time.; The human hearing system compromises between frequency and time resolution, unlike ideal filters (+6 more)
Broader Connections
- Filtering a signal to narrow its bandwidth necessarily spreads it in time.
#corroborates(0.95) - Auditory filter bandwidth scales nonlinearly with center frequency
#expands(0.85) - Room modal bandwidths depend on decay time, not frequency
#corroborates(0.85) — David M. Howard, Jamie Angus, Acoustics and Psychoacoustics, 2012 - Narrow-band filters smear signal onset despite resolving harmonics
#exemplifies(0.85) - The human hearing system compromises between frequency and time resolution, unlike ideal filters
#qualifies(0.80) - Total noise power rises with bandwidth while center frequency contributes nothing
#corroborates(0.80)