InstantaneousFrequency

Calculates instantaneous frequency from an analytic signal.

Tools to apply Ensemble Empirical Mode
Decomposition (EEMD) for cyclostratigraphy purposes. Mainly: a new
algorithm, extricate, that performs EEMD in seconds, a linear interpolation
algorithm using the greatest rational common divisor of depth or time,
different algorithms to compute instantaneous amplitude, frequency and
ratios of frequencies, and functions to verify and visualise the outputs.
The functions were developed during the CRASH project (Checking the
Reproducibility of Astrochronology in the Hauterivian). When using for
publication please cite Wouters, S., Crucifix, M., Sinnesael, M., Da Silva,
A.C., Zeeden, C., Zivanovic, M., Boulvain, F., Devleeschouwer, X., 2022,
"A decomposition approach to cyclostratigraphic signal processing".
Earth-Science Reviews 225 (103894).
<doi:10.1016/j.earscirev.2021.103894>.

Sebastien Wouters

DecomposeR

Empirical Mode Decomposition for Cyclostratigraphy

InstantaneousFrequency function

<dl><dt>asig</dt>
<dd>Analytic signal produced by <code>HilbertTransform</code></dd>
<dt>tt</dt>
<dd>Sample times</dd>
<dt>method</dt>
<dd>How the instantaneous frequency is calculated. "<code>arctan</code>"
uses the arctangent of the real and imaginary parts of the Hilbert transform,
taking the numerical derivative of phase for frequency. "<code>chain</code>" uses
the analytical derivative of the arctangent function prior to performing the
numerical calculation.</dd>
<dt>lag</dt>
<dd>Differentiation lag, see the <code>diff</code> function in the
<code>base</code> package.</dd></dl>

Arguments

Daniel C. Bowman (in the hht package)

Author

Derive instantaneous frequency — InstantaneousFrequency

<dl>

<dt>asig</dt>
<dd>Analytic signal produced by <code>HilbertTransform</code></dd>


<dt>tt</dt>
<dd>Sample times</dd>


<dt>method</dt>
<dd>How the instantaneous frequency is calculated. "<code>arctan</code>"
uses the arctangent of the real and imaginary parts of the Hilbert transform,
taking the numerical derivative of phase for frequency. "<code>chain</code>" uses
the analytical derivative of the arctangent function prior to performing the
numerical calculation.</dd>


<dt>lag</dt>
<dd>Differentiation lag, see the <code>diff</code> function in the
<code>base</code> package.</dd>

</dl>

InstantaneousFrequency: Derive instantaneous frequency

Description

Usage

Value

Arguments

Author

See Also