On the computation of complex cepstrum through differential cepstrum

Reddy, G. Ravi Shankar; Rao, V.

doi:10.1016/0165-1684(87)90113-7

Cited by 6 publications

(3 citation statements)

References 3 publications

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“…The Fourier‐based cepstrum always suffers from a necessity of the phase unwrapping, cepstral aliasing and singularities (Reddy & Rao, 1987; Tribolet & Member, 1977). Otherwise, the Fourier‐based cepstrum is much sensitive to noise.…”

Section: Methodsmentioning

confidence: 99%

“…Traditionally, cepstrum is defined as the inverse Fourier transform of the logarithmic spectrum of the signal's Fourier spectrum. There is ambiguity in the phase relationship in the cepstrum algorithm, and the necessity for a complicated phase‐unwrapping algorithm is required in the cepstrum algorithm (Reddy & Rao, 1987; Tribolet & Member, 1977). Otherwise, cepstrum is more easily influenced by the noise.…”

Section: Introductionmentioning

confidence: 99%

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Application of variational mode decomposition–based Hilbert marginal differential cepstrum for hydrocarbon detection

Xue

Wang

Liu

et al. 2023

Geophysical Prospecting

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The possibilities offered by the use of variational mode decomposition‐based Hilbert marginal spectrum and the differential cepstrum for gas‐bearing detection is studies in this paper. We propose a novel variational mode decomposition‐based Hilbert marginal differential cepstrum for hydrocarbon detection. Variational mode decomposition‐based Hilbert marginal spectrum is first computed. Then discrete cosine transform is carried out to the differential logarithmic variational mode decomposition‐based Hilbert marginal spectrum to obtain the variational mode decomposition‐based Hilbert marginal differential cepstrum. For hydrocarbon detection, the seismic amplitude anomaly section is generated by extracting the first and second common quefrency sections. Compared with the traditional Fourier‐based cepstrum, the wavelet‐based cepstrum and Berthil cepstrum, it has the ability to effectively reveal more detailed frequency‐dependent amplitude anomalies with high accuracy and resolution. Model tests and field data applications from a carbonate reservoir in China show that the variational mode decomposition‐based Hilbert marginal differential cepstrum can provide a better gas‐prone interpretation. The proposed method can be a complementary approach to current cepstrum‐based hydrocarbon detection methods and the spectrum decomposition methods.This article is protected by copyright. All rights reserved

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Section: Methodsmentioning

confidence: 99%

Section: Introductionmentioning

confidence: 99%

Application of variational mode decomposition–based Hilbert marginal differential cepstrum for hydrocarbon detection

Xue

Wang

Liu

et al. 2023

Geophysical Prospecting

View full text Add to dashboard Cite

show abstract

“…In [7], a differential cepstrum method is used to eliminate the process of phase unwrapping by using three DFTs. However, long DFTs are required in order to mitigate the aliasing effect that exists in the differential cepstrum method [8] [9], minimum-phase FIR filters are designed using the complex cepstrum computed through the spectral log magnitude function. This method uses only two DFTs and avoids both the phase unwrapping process and the aliasing effect that is present in the differential cepstrum method.…”

Section: Introductionmentioning

confidence: 99%

Design of Minimum-Phase Filters Using Optimization

Kidambi

Antoniou

2017

IEEE Trans. Circuits Syst. II

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A method for the design of minimum-phase FIR digital filters using spectral factorization is described. In the proposed method, the required digital filter is designed by formulating a set of nonlinear equations that represent the design problem at hand and then solving it by using the Levenberg-Marquardt optimization method. By using an exact formulation of the Jacobian and Hessian matrix in the Levenberg-Marquardt method, significant performance improvement and fast convergence is achieved. Comparisons show that the new method leads to a significant reduction in the maximum value and L2 norm of the residual error relative to those in state-ofthe-art competing methods.

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A comparative study on hydrocarbon detection using cepstrum–based methods

Tang,

Chen,

et al. 2024

Journal of Applied Geophysics

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On the computation of complex cepstrum through differential cepstrum

Cited by 6 publications

References 3 publications

Application of variational mode decomposition–based Hilbert marginal differential cepstrum for hydrocarbon detection

Application of variational mode decomposition–based Hilbert marginal differential cepstrum for hydrocarbon detection

Design of Minimum-Phase Filters Using Optimization

A comparative study on hydrocarbon detection using cepstrum–based methods

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