rwkernel

Computes the cost from the sample of points on the estimated ridge
and the matrix used in the reconstruction of the original signal

A set of R functions which provide an
environment for the Time-Frequency analysis of 1-D signals (and
especially for the wavelet and Gabor transforms of noisy
signals). It was originally written for Splus by Rene Carmona,
Bruno Torresani, and Wen L. Hwang, first at the University of
California at Irvine and then at Princeton University.  Credit
should also be given to Andrea Wang whose functions on the
dyadic wavelet transform are included. Rwave is based on the
book: "Practical Time-Frequency Analysis: Gabor and Wavelet
Transforms with an Implementation in S", by Rene Carmona, Wen
L. Hwang and Bruno Torresani (1998, eBook ISBN:978008053942), Academic Press.

Jonathan Lees

Rwave

Time-Frequency Analysis of 1-D Signals

Rene Carmona

Bruno Torresani

Brandon Whitcher

Andrea Wang

Wen-Liang Hwang

Robert Alberts

Jonathan M. Lees

rwkernel function

<dl><dt>node</dt>
<dd>values of the variable b for the nodes of the ridge.</dd><dt>phinode</dt>
<dd>values of the scale variable a for the nodes of the ridge.</dd><dt>nvoice</dt>
<dd>number of scales within 1 octave.</dd><dt>x.inc</dt>
<dd>step unit for the computation of the kernel.</dd><dt>x.min</dt>
<dd>minimal value of x for the computation of \(Q_2\).</dd><dt>x.max</dt>
<dd>maximal value of x for the computation of \(Q_2\).</dd><dt>w0</dt>
<dd>central frequency of the wavelet.</dd><dt>plot</dt>
<dd>if set to TRUE, displays the modulus of the matrix of \(Q_2\).</dd>
</dl>

Arguments

Kernel for Reconstruction from Wavelet Ridges — rwkernel

<dl>

<dt>node</dt>
<dd>values of the variable b for the nodes of the ridge.</dd>

<dt>phinode</dt>
<dd>values of the scale variable a for the nodes of the ridge.</dd>

<dt>nvoice</dt>
<dd>number of scales within 1 octave.</dd>

<dt>x.inc</dt>
<dd>step unit for the computation of the kernel.</dd>

<dt>x.min</dt>
<dd>minimal value of x for the computation of \(Q_2\).</dd>

<dt>x.max</dt>
<dd>maximal value of x for the computation of \(Q_2\).</dd>

<dt>w0</dt>
<dd>central frequency of the wavelet.</dd>

<dt>plot</dt>
<dd>if set to TRUE, displays the modulus of the matrix of \(Q_2\).</dd>
</dl>

rwkernel: Kernel for Reconstruction from Wavelet Ridges

Description

Usage

Value

Arguments

Details

References

See Also