Filtering a signal distorts its time response as well as its spectrum

Evidence

There is a problem, however, with filtering a signal in order to derive the spectrum, and this is the effect of the filter on the time response of the signal. Most filters have a time response due to the fact that they do not allow all frequencies Signal in Separated frequency components out FIGURE 1. — David M. Howard, Jamie Angus, Acoustics and Psychoacoustics, 473

Categorization

• QUESTION: Paragraph appears cut off mid-thought; the time/frequency tradeoff of filtering is worth chasing through the rest of the passage.
• XREF: connects to: Filters used for spectral analysis inevitably alter a signal’s time response. — David Howard, Jamie Angus, coustics and Psychoacoustics, 471; Filters and the signal’s time response are physically coupled tradeoffs; Shorter time windows necessarily blur frequency knowledge in any signal — Eric J. Heller, Why You Hear What You Hear- An…, 416 (+7 more)

Broader Connections

• Filters used for spectral analysis inevitably alter a signal’s time response. #corroborates (0.95) — David Howard, Jamie Angus, coustics and Psychoacoustics, 471
• Filtering a signal to narrow its bandwidth necessarily spreads it in time. #corroborates (0.95)
• Narrow-band filters smear signal onset despite resolving harmonics #exemplifies (0.90)
• Filters and the signal’s time response are physically coupled tradeoffs #expands (0.85)
• Narrow-bandwidth equalization causes filters to ring audibly in time #exemplifies (0.85) — David M. Howard, Jamie Angus, Acoustics and Psychoacoustics, 2422
• Time and frequency resolution cannot both be improved simultaneously #corroborates (0.82) — Toole, Floyd E, Sound reproduction- the acoustics and…, 951
• Shorter time windows necessarily blur frequency knowledge in any signal #exemplifies (0.80) — Eric J. Heller, Why You Hear What You Hear- An…, 416
• Filtering in the frequency domain is simply multiplicative on spectra #complicates (0.78) — David Howard, Jamie Angus, coustics and Psychoacoustics, 470
• The human hearing system compromises between frequency and time resolution, unlike ideal filters #qualifies (0.70)