convolve2D

Use the Fast Fourier Transform to perform convolutions between a sequence
and each column of a matrix.

Basic wavelet routines for time series (1D), image (2D) and array
(3D) analysis.  The code provided here is based on wavelet methodology
developed in Percival and Walden (2000); Gencay, Selcuk and Whitcher (2001);
the dual-tree complex wavelet transform (DTCWT) from Kingsbury (1999, 2001) as
implemented by Selesnick; and Hilbert wavelet pairs (Selesnick 2001, 2002).
All figures in chapters 4-7 of GSW (2001) are reproducible using this package
and R code available at the book website(s) below.

Brandon Whitcher

waveslim

Basic Wavelet Routines for One-, Two-, and Three-Dimensional
Signal Processing

convolve2D function

<dl><dt>x</dt>
<dd>MxN matrix.</dd>
<dt>y</dt>
<dd>numeric sequence of length N.</dd>
<dt>conj</dt>
<dd>logical; if <code>TRUE</code>, take the complex conjugate
before back-transforming (default, and used for usual convolution).</dd>
<dt>type</dt>
<dd>character; one of <code>circular</code>, <code>open</code> (beginning of
word is ok). For <code>circular</code>, the two sequences are treated as
circular, i.e., periodic.
For <code>open</code> and <code>filter</code>, the sequences are padded with zeros (from
left and right) first; <code>filter</code> returns the middle sub-vector of
<code>open</code>, namely, the result of running a weighted mean of <code>x</code> with
weights <code>y</code>.</dd></dl>

Arguments

Author

Fast Column-wise Convolution of a Matrix — convolve2D

<dl>

<dt>x</dt>
<dd>MxN matrix.</dd>


<dt>y</dt>
<dd>numeric sequence of length N.</dd>


<dt>conj</dt>
<dd>logical; if <code>TRUE</code>, take the complex conjugate
before back-transforming (default, and used for usual convolution).</dd>


<dt>type</dt>
<dd>character; one of <code>circular</code>, <code>open</code> (beginning of
word is ok). For <code>circular</code>, the two sequences are treated as
circular, i.e., periodic.
For <code>open</code> and <code>filter</code>, the sequences are padded with zeros (from
left and right) first; <code>filter</code> returns the middle sub-vector of
<code>open</code>, namely, the result of running a weighted mean of <code>x</code> with
weights <code>y</code>.</dd>

</dl>

convolve2D: Fast Column-wise Convolution of a Matrix

Description

Usage

Arguments

Author

Details

See Also