File Exchange

image thumbnail

wvfrms2bases

version 1.0.0.0 (1.38 KB) by Joshua Carmichael
Computes basis for data by sorting signals (3 sort options)

0 Downloads

Updated 15 Jan 2008

No License

Computes an orthogonal basis from a given criteria. Options are identical
to those of sortwvfrms: basis are computed by signal width, localization, and
noise. The vectors are sorted by the given criteria, projected onto a
subspace orthogonal to the previously sorted vectors, and sorted in that
subspace, then projected, etc. For example, in the case that 'width' is
used as a sorting option, this function first finds the most 'compact'
waveform among the entire set: that is, the waveform with with the smallest
width. It then projects the matrix of data X onto a subspace orthogonal to
this waveform. The function then finds the waveform with the smallest width
in this subspace, and projects the data onto a subspace orthogonal to it, and
so on. The end result is a basis for X formed of vectors with progressively
broader signal widths. The pdf option finds the 'least noisy' data, as another
example.

[U]=wvfrms2bases(X,varargin)

INPUT
X: a matrix of whose columns form a set of linearly independent
signals/vectors.
sortopt: (optional) a string. Can be either 'width', 'erg' or 'pdf'.
Default is 'width'. This option is what sorts the data. See
above for an explanation or website below.
plotopt: (optional) a string. 'plot' produces a plot. Anything else
doesn't.

OUTPUT
U: an orthonormal matrix. The columns are ordered by the user specifed
criteria. In the case that sortopt = 'width', the first column of U,
given by U(:,1), has the smallest signal width. The next column has
the smallest width among all other vectors in the subspace of
functions orthogonal to U(:,1).

Examples:
[U]=wvfrms2bases(W);
[U]=wvfrms2bases(W,'plot');
[U]=wvfrms2bases(W,'width','plot');
[U]=wvfrms2bases(W,'erg','plot');
[U]=wvfrms2bases(W,'pdf','plot');

See also http://www.ess.washington.edu/~joshuadc for downloading this.

Cite As

Joshua Carmichael (2021). wvfrms2bases (https://www.mathworks.com/matlabcentral/fileexchange/18308-wvfrms2bases), MATLAB Central File Exchange. Retrieved .

Comments and Ratings (0)

MATLAB Release Compatibility
Created with R2006b
Compatible with any release
Platform Compatibility
Windows macOS Linux

Community Treasure Hunt

Find the treasures in MATLAB Central and discover how the community can help you!

Start Hunting!