Filter bandwidth limits how fast a band-pass noise envelope can fluctuate

Evidence

The speed of the envelope fluctuation is limited by the bandwidth of the filter. To a first approximation, the time function of the band-pass noise shown can be considered as a I-kHz tone, which is randomly amplitude (and phase) modulated. — Professor Dr.-Ing. Hugo Fastl, Professor Dr.-Ing. Eberhard, Psychoacoustics- Facts and Models, 85

Categorization

• XREF: connects to: A filter’s output speed of change is limited by its bandwidth — David M. Howard, Jamie Angus, Acoustics and Psychoacoustics, 479