wvfrms2bases 1.0

Computes an orthogonal basis from a given criteria. Options are identicalto those of sortwvfrms: basis are computed by signal width, localization, andnoise. The vectors are sorted by the given criteria, projected onto asubspace orthogonal to the previously sorted vectors, and sorted in thatsubspace, then projected, etc. For example, in the case that 'width' isused as a sorting option, this function first finds the most 'compact'waveform among the entire set: that is, the waveform with with the smallestwidth. It then projects the matrix of data X onto a subspace orthogonal tothis waveform. The function then finds the waveform with the smallest widthin this subspace, and projects the data onto a subspace orthogonal to it, andso on. The end result is a basis for X formed of vectors with progressivelybroader signal widths. The pdf option finds the 'least noisy' data, as anotherexample.[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.OUTPUTU: 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.

Requirements:	No special requirements
Platforms:	Matlab
Keyword:	039least,  Anotherexampleu Dwvfrms Basesxvarargininput,  Columns,  Default,  Erg,  Formed,  Independent,  Linearly,  Noisy,  Optional,  Pdf,  Progressivelybroader,  Result,  Signalsvectorssortopt,  Sorts,  String,  Widths
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