Narrow-band filters smear signal onset despite resolving harmonics

Evidence

As narrow-band noise shows a self-modulation with an effective modulation frequency of 0.64 times the bandwidth, its fluctuation strength also depends on the bandwidth of the noise. In this demonstration, narrow-band noises with different bandwidths of 2, 6, and 50 Hz are presented. The noises have a center frequency of 1 kHz and a level of 70 dB. The largest fluctuation strength is reached for a noise with a bandwidth of 6 Hz producing an effective modulation frequency of about 4 Hz. — Professor Dr.-Ing. Hugo Fastl, Professor Dr.-Ing. Eberhard, Psychoacoustics- Facts and Models, 3336 (#corroborates, via linked claim)

Categorization

• XREF: connects to: Frequency-response peaks prove time-domain ringing in minimum-phase devices; Unresolved harmonics smear together as frequency rises; A filter’s inherent time response is determined by its bandwidth (+13 more)

Related

• Narrow-band noise self-modulates at 0.64 times its bandwidth (similarity 0.88)
• Narrow-band noise behaves like a randomly amplitude-modulated pure tone. (similarity 0.84)
• Narrow-band noise self-modulation masks external amplitude modulation (similarity 0.84)
• Noise fluctuations within narrow critical bands raise the masking index (similarity 0.83)
• Narrow-band noise amplitude fluctuations mask periodic amplitude modulation detection (similarity 0.83)
• Just-noticeable amplitude modulation of narrow-band noise is near 6 percent at high centre frequencies (similarity 0.82)
• Narrow-band noise keeps a Gaussian amplitude distribution that statistically modulates its perceived sound (similarity 0.82)
• A filter’s output speed of change is limited by its bandwidth (similarity 0.81)
• A filter’s inherent time response is determined by its bandwidth (similarity 0.81)
• Narrow-band noise’s intrinsic amplitude jitter masks external amplitude modulation detection (similarity 0.81)
• Filter bandwidth limits how fast a band-pass noise envelope can fluctuate (similarity 0.81)
• Narrowband noises contain fewer frequencies and show greater amplitude fluctuations than broadband noise. (similarity 0.80)
• Critical bandwidth marks the perceptual shift from rough to smooth tone resolution (similarity 0.80)
• Narrow-band noise sharpness grows proportionally with critical-band rate up to about 3 kHz (similarity 0.80)
• Narrower signal bandwidth necessarily spreads signals over longer time spans (similarity 0.80)

Broader Connections

• Real filters affect frequencies up to an octave from their cutoff point #corroborates (0.85)
• Narrow-band noise self-modulates at 0.64 times its bandwidth #corroborates (0.80) — Professor Dr.-Ing. Hugo Fastl, Professor Dr.-Ing. Eberhard, Psychoacoustics- Facts and Models, 3336
• Narrowband noise at a given frequency masks nearby tones much more than distant ones #expands (0.75)