What is it about?

The instantaneous phase of a complex trace is normally computed as an inverse tangent function of the ratio between its imaginary and real part. This algorithm produces often a discontinuous function in the range [-, +], as the principal value of the inverse tangent is assumed. The attempt of removing these discontinuities, called phase unwrapping, introduces uncertainties and some personal bias, as it requires user-defined parameters. A new algorithm that does not require any of these parameters is presented with the related software code and some application examples. The results show a fair robustness of the estimates with respect to the noise, for both the instantaneous phase and frequency. Also, the median-averaged instantaneous frequency is a useful tool for the seismic stratigraphy analysis.

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Why is it important?

It improves oil and fresh water recovery in the Earth

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This page is a summary of: Instantaneous frequency and phase without unwrapping, Geophysics, January 2017, Society of Exploration Geophysicists,
DOI: 10.1190/geo2016-0185.1.
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