Easy-to-compute parameterizations of all wavelet filters: input-output and state-space

Details Easy-to-compute parameterizations of all wavelet filters: input-output and state-space Easy-to-compute parameterizations of all wavelet filters: input-output and state-space

2011-05-02

arxiv.org/abs/1105.0256v2

Mathematics

Complex Variables

The present version is better coordinated with another work of us on the same subject, entitled Extending wavelet filters. Inf

Scientific paper

We here use notions from the theory linear shift-invariant dynamical systems to provide an easy-to-compute characterization of all rational wavelet filters. For a given N bigger or equql to 2, the number of inputs, the construction is based on a factorization to an elementary wavelet filter along with of m elementary unitary matrices. We shall call this m the index of the filter. It turns out that the resulting wavelet filter is of McMillan degree $N((N-1)/2+m). Rational wavelet filters bounded at infinity, admit state space realization. The above input-output parameterization is exploited for a step-by-step construction (where in each the index m is increased by one) of state space model of wavelet filters.

Affiliated with

Also associated with

No associations

Rating

Easy-to-compute parameterizations of all wavelet filters: input-output and state-space does not yet have a rating. At this time, there are no reviews or comments for this scientific paper.

If you have personal experience with Easy-to-compute parameterizations of all wavelet filters: input-output and state-space, we encourage you to share that experience with our LandOfFree.com community. Your opinion is very important and Easy-to-compute parameterizations of all wavelet filters: input-output and state-space will most certainly appreciate the feedback.

Rate now

Comments { 0 }

Profile ID: LFWR-SCP-O-426612