Narrower signal bandwidth necessarily spreads signals over longer time spans

Evidence

Any form of filtering that reduces the bandwidth of the signal will also spread it over a longer period of time. In most practical filter circuits, these time domain effects are most pronounced near the cutoff frequency and become worse as the cutoff becomes sharper. — David M. Howard, Jamie Angus, Acoustics and Psychoacoustics, 2413

Categorization

  • XREF: Connects to the time-frequency uncertainty principle in physics (Fourier/Heisenberg), which the reader likely knows from other reading; also underpins claims about why equalizers change perceived timing in past chapters. — connects to: Bandwidth metering made early web broadcasting prohibitively expensive — Theresa M. Senft, Camgirls: Celebrity and Community in…, 159
  • QUESTION: How does the sharpening of a filter’s cutoff interact audibly with transient attacks like drum hits? Worth chasing a concrete example.