[Pd] Toeplitz solver libraries? Is there a new fast routine anywhere?

[Mathieu Bouchard]

On Fri, 17 Feb 2006, Charles Henry wrote:

> so, we start with two vectors x, a reference signal and m, the actual
> signal that is observed If it's possible for a filter to input x, and
> output m, then, we have that the filter is (pointwise) m^ / x^ but this
> runs into problems that your matrix solvers (time-domain approach) don't
> have

Does something count as a "filter" if it can output something in m that 
doesn't exist in x? The assumption here is that the frequency band F(m)(f) 
is some multiple of the frequency band F(x)(f), where F is a fourier.

The space of all allowable filters has to be at most (2N-1)-dimensional,
and has a N-dimensional subspace that correspond to circulants and the
above assumption. The quotient space, (N-1)-dimensional, is something
else; I'm not sure how it works; but it's really not like any frequency
band can affect any other, because then your filter group would be
(N^2)-dimensional.

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