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Spectral analysis using generalized cepstrum

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TLDR
A natural generalization of theLogarithmic function is used instead of the logarithic function itself and the spectral representation parameter on the "generalized logarathmic" scale is referred to as the " generalized cepstrum," which corresponds to the cep strum on the logARithmic scale.
Abstract
In this paper, we present a generalization of the cepstral method from the viewpoint of spectral smoothing for speech. We use a natural generalization of the logarithmic function instead of the logarithmic function itself and we refer to the spectral representation parameter on the "generalized logarithmic" scale as the "generalized cepstrum," which corresponds to the cepstrum on the logarithmic scale. A number of properties of the generalized cepstrum are shown, and are compared to the cepstrum.

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Citations
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Frequency-warped signal processing for audio applications

TL;DR: A methodology, frequency-warped digital signal processing, is presented in a tutorial paper as a means to design or implement digital signal-processing algorithms directly in a way that is relevant for auditory perception.
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Analytical time-domain Green's functions for power-law media.

TL;DR: Analytical time-domain Green's functions in power-law media for exponents in this range are derived and numerical computations demonstrate that for observation points only one wavelength from the radiating source, the Green's function is effectively causal for power- law exponents greater than or equal to 1.
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Root cepstral analysis: a unified view: application to speech processing in car noise environments

TL;DR: A pseudo-autocorrelation domain is introduced, which can be interpreted as a “Root-cepstral domain”, and it is shown how non-parametric cepstral and linear predictive analyses converge to the same optimal solution.
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Wave-shape function analysis -- when cepstrum meets time-frequency analysis

TL;DR: The concept of cepstrum is applied to eliminate the wave-shape function influence on the TF analysis, and a new algorithm, named de-shape synchrosqueezing transform (de-shape SST), is proposed.
References
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Book

Detection, Estimation, And Modulation Theory

TL;DR: Detection, estimation, and modulation theory, Detection, estimation and modulation theorists, اطلاعات رسانی کشاورزی .
Journal ArticleDOI

Spectral root homomorphic deconvolution system

TL;DR: In this article, the authors developed a new homomorphic deconvolution system that is useful when the signal to be deconvolved is a convolution of two components, one of which is a train of pulses and for the other we have some a priori information on its approximate number of poles and zeros.
Journal ArticleDOI

Isolated word recognition for large vocabularies

TL;DR: The problems associated with speaker-trained recognition of a large vocabulary of words are discussed and it is shown that a judicious choice of words can lead to significantly better recognition accuracy than a poor choice of the words in the subset.
Journal ArticleDOI

A probabilistic model for the performance of word recognizers

TL;DR: A probabilistic model to account for the error-rate behavior of isolated-word speech-recognition systems is developed and it is shown that two-way mixture distributions account quite well for the experimental performance results.
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