cepstrum of impulse train


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PDF Complex Cepstrum Processing of Digitized Transient Calibration

19 jan 1977 · The complex cepstrum technique was investigated for possible use in removing echoes caused by early reflections when low-frequency 

PDF The Cepstrum and Homomorphic Speech Processing 倒

short segment of speech can be modeled as having been generated by exciting an LTI system either by a quasi-periodic impulse train or a random noise signal

PDF Homomorphic Speech Processing

the cepstrum is an impulse train with impulses spaced at samples • p N 30 Np 2Np 3Np Page 31 Cepstrum for Train of Impulses an important special case is 

PDF Cepstral analysis in speech processing

p[n] => periodic impulse train u[n] => random white noise g[n] => glottal filter impulse response v[n] => vocal tract impulse response r[n] => lip radiation 

  • What is an impulse train?

    Impulse trains are trains of action potentials spaced over time, with varying time intervals between them.
    The brain thus includes a massively parallel impulse train generator and processor.
    Simultaneously generated impulse trains can have patterns that are a function of the activity of ensembles of neurons.

  • The real cepstrum of a signal x, sometimes called simply the cepstrum, is calculated by determining the natural logarithm of magnitude of the Fourier transform of x, then obtaining the inverse Fourier transform of the resulting sequence: c x = 1 2 π ∫ - π π log X ( e j ω ) e j ω n d ω .

  • What is an example of a cepstrum?

    For example, if the sampling rate of an audio signal is 44100 Hz and there is a large peak in the cepstrum whose quefrency is 100 samples, the peak indicates the presence of a fundamental frequency that is 44100/100 = 441 Hz.

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