Filter transition regions can extend a full octave from the cut-off frequency.
Evidence
Thus if a filter’s cut-off is set to a given frequency there will be a region within the pass-band that affects the amplitude of the frequency components of the signal. This region can extend as far as an octave away from the cut-off point. Therefore, in practice, the filter’s cut-off frequency must be set beyond the pass-band that one would expect from a simple consideration of the frequency range of the instruments, in order to avoid any tonal — David Howard, Jamie Angus, coustics and Psychoacoustics, 2393
Categorization
Category: Factual Claims
- DEFINE: Concrete, quantified detail on filter cut-off behavior and the 3 dB definition that a psychoacoustics practitioner needs to apply transparent filtering.
Related
- A filter’s transition region can audibly affect frequencies up to an octave away (similarity 0.90)
- Filters attenuate gradually over a frequency range rather than cutting sharply (similarity 0.90)
- Higher noise levels reduce sensitivity to cut-off frequency changes (similarity 0.81)
- Masked threshold rise toward high frequencies is about 100 dB per octave. (similarity 0.81)
- Steep-filtered noise produces pitch matching the filter’s cut-off frequency (similarity 0.80)
- Narrow-band filters smear signal onset despite resolving harmonics (similarity 0.80)
- Filter cutoff frequency is conventionally the 3-dB-down point. (similarity 0.80)
- The auditory system acts as a band-pass filter at each signal frequency. (similarity 0.79)
- Most instruments occupy only a portion of the audible frequency range (similarity 0.79)
- Filtering a signal distorts its time response as well as its spectrum (similarity 0.79)
- Narrower signal bandwidth necessarily spreads signals over longer time spans (similarity 0.79)
- Raising noise level paradoxically worsens cut-off frequency discrimination as upper slopes flatten. (similarity 0.79)
- Noise bandwidth changes sharpness dramatically across a wide range (similarity 0.79)
- Filtering alters timbre, but nearby spectral boosting can partially offset the loss (similarity 0.78)
Broader Connections
- Real filters affect frequencies up to an octave from their cutoff point
#corroborates(0.95) — David M. Howard, Jamie Angus, Acoustics and Psychoacoustics, 2410 - Narrow-band filters smear signal onset despite resolving harmonics
#exemplifies(0.75) — David Howard, Jamie Angus, coustics and Psychoacoustics, 494