A filter’s output speed of change is limited by its bandwidth

Evidence

A similar argument can used for band-pass filters. In this case, there is a maximum range of frequencies that can be passed around a given frequency. Although the sine waves corresponding to the band-pass frequencies will be passed, and they may be at quite a high frequency, their amplitude envelope cannot vary quickly, as shown in Figure 1.59. This is because the speed of variation of the envelope depends on the number of and total frequency occupied by the sine wave components in the output of the filter, as shown in Figure 1.60. As it is the amplitude variation of the output of a band-pass filter that carries the information, it too has an inherent time response, which is a function of its bandwidth. — David M. Howard, Jamie Angus, Acoustics and Psychoacoustics, 479

Categorization

• DEFINE: Explains why band-pass filter outputs have an inherent time response tied to bandwidth, a core psychoacoustic/electronics concept.
• XREF: connects to: A filter’s bandwidth sets how fast its output can change over time; A filter’s time response is set by its bandwidth, not its center frequency; A filter’s inherent time response is determined by its bandwidth (+6 more)

Broader Connections

• A filter’s bandwidth sets how fast its output can change over time #corroborates (0.98)
• A filter’s inherent time response is determined by its bandwidth #corroborates (0.95)
• Filter bandwidth limits how fast a band-pass noise envelope can fluctuate #exemplifies (0.95) — Professor Dr.-Ing. Hugo Fastl, Professor Dr.-Ing. Eberhard, Psychoacoustics- Facts and Models, 85
• Filtering a signal to narrow its bandwidth necessarily spreads it in time. #expands (0.90)
• Narrower noise bandwidths produce slower amplitude fluctuation rates #corroborates (0.90) — Jennifer Lentz, Psychoacoustics- Perception of Normal…, 983
• Filtering a signal distorts its time response as well as its spectrum #expands (0.85) — David M. Howard, Jamie Angus, Acoustics and Psychoacoustics, 473
• Narrow-bandwidth equalization causes filters to ring audibly in time #exemplifies (0.85) — David M. Howard, Jamie Angus, Acoustics and Psychoacoustics, 2422
• A filter’s time response is set by its bandwidth, not its center frequency #expands (0.80)
• Filters and the signal’s time response are physically coupled tradeoffs #qualifies (0.75)