A filter’s inherent time response is determined 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 bandpass filter that carries the information, it too has an inherent time response which is a function of its bandwidth. — David Howard, Jamie Angus, coustics and Psychoacoustics, 477

Categorization

Category: Causal Relationships

• DEFINE: Clarifies the concept that filters impose a time response on signals due to bandwidth limitations.

Related

• A filter’s output speed of change is limited by its bandwidth (similarity 0.93)
• A filter’s bandwidth sets how fast its output can change over time (similarity 0.92)
• No filter can have both fast time response and narrow bandwidth simultaneously. (similarity 0.87)
• Filters and the signal’s time response are physically coupled tradeoffs (similarity 0.86)
• Good frequency resolution and good time resolution can never coexist (similarity 0.86)
• Filter bandwidth limits how fast a band-pass noise envelope can fluctuate (similarity 0.86)
• Narrower signal bandwidth necessarily spreads signals over longer time spans (similarity 0.85)
• Filtering a signal distorts its time response as well as its spectrum (similarity 0.85)
• Fast-changing acoustic signals necessarily occupy a wider spectral bandwidth. (similarity 0.84)
• A filter’s time response is set by its bandwidth, not its center frequency (similarity 0.83)
• Narrowing a filter’s bandwidth inevitably spreads the signal in time, harming timbre (similarity 0.82)
• A sound’s time-domain rate of change determines its frequency-domain bandwidth (similarity 0.82)
• Filters attenuate gradually over a frequency range rather than cutting sharply (similarity 0.82)
• Gaussian gating minimizes the bandwidth-duration product for tone bursts. (similarity 0.81)
• Narrow-bandwidth equalization causes filters to ring audibly in time (similarity 0.81)

Broader Connections

• A filter’s time response is set by its bandwidth, not its center frequency #corroborates (1.00) — David M. Howard, Jamie Angus, Acoustics and Psychoacoustics, 479
• Filtering a signal to narrow its bandwidth necessarily spreads it in time. #expands (0.90) — David M. Howard, Jamie Angus, Acoustics and Psychoacoustics, 2413
• Narrow-band filters smear signal onset despite resolving harmonics #exemplifies (0.85) — David Howard, Jamie Angus, coustics and Psychoacoustics, 494
• Fast-changing acoustic signals necessarily occupy a wider spectral bandwidth. #corroborates (0.85) — David Howard, Jamie Angus, coustics and Psychoacoustics, 487
• Filters isolate frequency bands and are classified by their frequency response #expands (0.80) — David M. Howard, Jamie Angus, Acoustics and Psychoacoustics, 465
• Gaussian gating minimizes the bandwidth-duration product for tone bursts. #exemplifies (0.80) — Professor Dr.-Ing. Hugo Fastl, Professor Dr.-Ing. Eberhard, Psychoacoustics- Facts and Models, 89
• The human hearing system compromises between frequency and time resolution, unlike ideal filters #qualifies (0.80) — David Howard, Jamie Angus, coustics and Psychoacoustics, 501
• Auditory filter bandwidth scales nonlinearly with center frequency #qualifies (0.75) — David M. Howard, Jamie Angus, Acoustics and Psychoacoustics, 588