Spectral analysis cannot achieve fine time and frequency resolution simultaneously

Evidence

It is not possible to have a very fine time and frequency simultaneously: this status is incompatible. … The record length and the filter bandwidth of a STFT are inversely proportional and are not independent. — Almo Farina, Soundscape Ecology, 1970

Categorization

• XREF: The uncertainty-principle structure parallels physics’ time-frequency tradeoff and matters for choosing spectrogram parameters in practice. — connects to: Digital audio capture is governed by sampling rate and bit depth — Almo Farina, Soundscape Ecology: Principles,…, 1948; Time and frequency resolution cannot both be improved simultaneously — Toole, Floyd E, Sound reproduction- the acoustics and…, 951; Spectral and temporal resolution cannot both be maximized in any analysis (+4 more)

Broader Connections

• Time and frequency resolution cannot both be improved simultaneously #corroborates (1.00) — Toole, Floyd E, Sound reproduction- the acoustics and…, 951
• Spectral and temporal resolution cannot both be maximized in any analysis #corroborates (1.00)
• Good frequency resolution and good time resolution can never coexist #corroborates (1.00) — David Howard, Jamie Angus, coustics and Psychoacoustics, 482
• Shorter time windows necessarily blur frequency knowledge in any signal #expands (0.90) — Eric J. Heller, Why You Hear What You Hear- An…, 416
• Wavelet and constant-Q transforms use non-uniform time-frequency resolution unlike short-time Fourier analysis #qualifies (0.85)
• Spectral broadening can mask source identity while preserving loudness-time function #exemplifies (0.80) — Professor Dr.-Ing. Hugo Fastl, Professor Dr.-Ing. Eberhard, Psychoacoustics- Facts and Models, 1847