No filter can have both fast time response and narrow bandwidth simultaneously.
Evidence
Ideally, one would like a filter that has a fast time response and a narrow bandwidth, but this is impossible. However, as we shall see later, the human hearing system is designed to provide a compromise that gives both good frequency and time resolution. — David M. Howard, Jamie Angus, Acoustics and Psychoacoustics, 503
Categorization
- QUESTION: What exactly is the hearing system’s compromise mechanism between time and frequency resolution? Worth chasing in later chapters on the cochlea.
- corroborated: 2 independent passages support this claim — David M. Howard, Jamie Angus, Acoustics and Psychoacoustics, 503
- XREF: connects to: A filter’s inherent time response is determined by its bandwidth; A filter’s time response is set by its bandwidth, not its center frequency