Filters and the signal’s time response are physically coupled tradeoffs

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

Category: Causal Relationships

Related

• Good frequency resolution and good time resolution can never coexist (similarity 0.87)
• Filtering a signal distorts its time response as well as its spectrum (similarity 0.87)
• A filter’s bandwidth sets how fast its output can change over time (similarity 0.86)
• A filter’s inherent time response is determined by its bandwidth (similarity 0.86)
• No filter can have both fast time response and narrow bandwidth simultaneously. (similarity 0.85)
• A filter’s output speed of change is limited by its bandwidth (similarity 0.85)
• A filter’s time response is set by its bandwidth, not its center frequency (similarity 0.84)
• Narrower signal bandwidth necessarily spreads signals over longer time spans (similarity 0.84)
• Sound spectrum analysis depends on banks of filters to decompose signals (similarity 0.84)
• Frequency-domain thinking makes filtering easier than time-domain (similarity 0.82)
• Filtering in the frequency domain is simply multiplicative on spectra (similarity 0.82)
• Narrowing a filter’s bandwidth inevitably spreads the signal in time, harming timbre (similarity 0.82)
• Real-world signals vary over time so filters must adapt to conditions. (similarity 0.82)
• Filtering operates as multiplication in the frequency domain, a key spectral analysis technique (similarity 0.82)
• Filters attenuate gradually over a frequency range rather than cutting sharply (similarity 0.81)