Instantaneous spectral analysis: Time-frequency mapping via wavelet matching with application to contaminated-site characterization by 3D GPR

Instantaneous Spectral Analysis: Time-Frequency Mapping via Wavelet Matching with Application to Contaminated-Site Characterization by 3D GPR

Gpr Signal Analysis: Instantaneous Parameter Estimation Using the Wavelet Transform

The classic approach for estimating instantaneous parameters relies on using the Hilbert Transform (HT). The HT method extracts the instantaneous parameters by comparing the imaginary part with the real part of an analytical signal. The instantaneous parameters obtained this way are frequently contaminated by noises. Using the wavelet transform (WT), one can extract the instantaneous parameters...

study of efficiency of seismic time-frequency spectral decomposition by matching pursuit for detecting thin layers

most geologic changes have a seismic response but sometimes this is expressed only in certain spectral ranges hidden within the broadband data. spectral decomposition is one of the methods which can be utilized to help interpreting such cases. there are several time-frequency methods including: short-time fourier transform (stft), continuous wavelet transform (cwt), wigner-ville distribution (w...

Instantaneous Spectral Analysis Applied to Reservoir Imaging and Producibility Characterization

Imaging and characterizing fractured shale reservoirs constitute significant challenges. We introduce a workflow and illustrate the application of instantaneous spectral analysis with the aid of a case study on fractured shale reservoirs. With the well log modeling, frequency dependent energy and phase are improved by removing the wavelet overprint. Extracted frequency dependent energy and phas...

A sinusoidal model based on frequency-to-instantaneous frequency mapping

In this paper we describe a sinusoidal analysis and synthesis framework which uses a novel method of extracting the sinusoidal components and fundamental frequency. This method is based on a mapping from linearly spaced filter centre frequencies to the instantaneous frequencies of the filter outputs. Frequency domain fixed points are obtained from this mapping which result in the extraction of ...