1984
DOI: 10.1121/1.390824
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Uncertainty principle in frequency–time methods

Abstract: Stochastic process theory has recently been extended to the nonstationary case and the concepts extended to include the time-varying parameters such as evolutionary spectra. Previous papers have reviewed and concluded that despite the time variation underlined, the evolutionary spectral density function may still be estimated or measured for numerous nonstationary processes. One of the most important aspects of the practical estimates is closely related to their accuracy which is now defined in both the freque… Show more

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Cited by 7 publications
(4 citation statements)
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“…Sounds were analysed in the frequency range 0-1 kHz; analysis parameters (i.e. time resolution, bandwidth and dynamic range) were set to obtain the best spectrographic representation of signals in relation to their acoustic structure (Tsao, 1984;Beecher, 1988). Sound pressure levels (dB SPL re 1 Pa) were determined from recordings in the community tank.…”
Section: Methodsmentioning
confidence: 99%
“…Sounds were analysed in the frequency range 0-1 kHz; analysis parameters (i.e. time resolution, bandwidth and dynamic range) were set to obtain the best spectrographic representation of signals in relation to their acoustic structure (Tsao, 1984;Beecher, 1988). Sound pressure levels (dB SPL re 1 Pa) were determined from recordings in the community tank.…”
Section: Methodsmentioning
confidence: 99%
“…This kind of analysis is usually called spectrogram, or SonaGram™ since it was first realized by the Kay SonaGraph™, and is frequently used to analyze animal sounds as well as the human voice. Since spectrographic analysis, usually based on the FFT (Fast Fourier Transform), is unsuited to analyze some nonstationary signals due to the uncertainty principle (Tsao, 1984;Beecher, 1988), several other processing techniques (zero-crossing, wavelet, WignerVille) have been developed to resolve the frequency-time structure of complex signals or to accomplish particular tasks (Flandrin, 1989;Flandrin and Sessarego, 1990;Nyamsi et al, 1994).…”
Section: Sound Detection and Analysismentioning
confidence: 99%
“…Analysis parameters (i.e., time resolution, bandwidth and dynamic range) were set to obtain the best spectrographic representation of signals in relation to their acoustic structure (Tsao, 1984;Beecher, 1988).…”
Section: Sound Analysismentioning
confidence: 99%