Answers.Body: <p>The cepstrum presents the temporal pulse characteristics and is inter alia used to estimate the interclick interval (IIRC in PAMGuard it is also used to estimate the IPI of sperm whales)</p>
  <p>To see that take one definition of (complex) Cepstrum :</p>
  <p>Cepstrum = ifft(log(fft(timeseries)))</p>
  <ul>
  <li>first fft transforms from time to frequency</li>
  <li>second fft transforms from frequency to time</li>
  </ul>
  <p>other definitions of cepstrum can be found on <a href="https://en.wikipedia.org/wiki/Cepstrum" rel="nofollow noreferrer">Wikipedia</a></p>
  
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Body: <p>Signals like burst pulses often appear like tonal signals in a spectrogram.  <a href="https://asa.scitation.org/doi/abs/10.1121/10.0005512" rel="noreferrer">McCullough et al 2021</a> used cepstra to identify burst pulses, by capturing burst pulse harmonics in the spectrogram. How do you convert cepstral features (based on a spectrogram) to temporal burst pulse characteristics, like interclick interval?</p>
  
Tags: <signal-detection>
Title: How can I convert a cepstrum to temporal features, like interclick interval?
ThreadText: # How can I convert a cepstrum to temporal features, like interclick interval?
  
  (Asked by: username_0 on 2022-07-05)
  
  Signals like burst pulses often appear like tonal signals in a spectrogram. [McCullough et al 2021](https://asa.scitation.org/doi/abs/10.1121/10.0005512) used cepstra to identify burst pulses, by capturing burst pulse harmonics in the spectrogram. How do you convert cepstral features (based on a spectrogram) to temporal burst pulse characteristics, like interclick interval?
  
  **Tags:** signal-detection
  
  
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  ## 1 answers
  
  ### Answer by username_1 on 2022-07-06. Score: 4 | Accepted answer
  
  The cepstrum presents the temporal pulse characteristics and is inter alia used to estimate the interclick interval (IIRC in PAMGuard it is also used to estimate the IPI of sperm whales)
  
  To see that take one definition of (complex) Cepstrum :
  
  Cepstrum = ifft(log(fft(timeseries)))
  
  * first fft transforms from time to frequency
  * second fft transforms from frequency to time
  
  other definitions of cepstrum can be found on [Wikipedia](https://en.wikipedia.org/wiki/Cepstrum)
  
  
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