InstantaneousFrequency

Calculates instantaneous frequency from an analytic signal.

Builds on the EMD package to provide additional tools for empirical mode decomposition (EMD) and Hilbert spectral analysis. It also implements the ensemble empirical decomposition (EEMD) and the complete ensemble empirical mode decomposition (CEEMD) methods to avoid mode mixing and intermittency problems found in EMD analysis.  The package comes with several plotting methods that can be used to view intrinsic mode functions, the HHT spectrum, and the Fourier spectrum.

Daniel C Bowman

The Hilbert-Huang Transform: Tools and Methods

Daniel C. Bowman

Jonathan M. Lees

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 <a href="/link/danny.c.bowman%40gmail.com?package=hht&version=2.1.6" data-mini-rdoc="hht::danny.c.bowman@gmail.com">danny.c.bowman@gmail.com</a>

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>

Daniel C. Bowman <a href='mailto:danny.c.bowman@gmail.com'>danny.c.bowman@gmail.com</a>

InstantaneousFrequency: Derive instantaneous frequency

Description

Usage

Value

Arguments

Author

See Also