Structured Noncommutative Multidimenisonal Linear Systems and Scale-Recursive Modeling

Tanit Malakorn, Joseph Ball
Recently, the multiscale signal and image processing community has recognized that a suitable model for mul-tiresolution processes is a model with time-like variable indexed by the nodes on a homogeneous tree with different depths in the tree corresponding to different spatial scales associated with the signal or image. It turns out that these system models are close relatives of the Structured Noncommutative Multidimensional Linear Systems (SNMLSs) introduced by Ball-Groenewald-Malakorn [5],
more » ... ald-Malakorn [5], but with system operators dependent on the node of the tree at which the state update occurs. This provides engineering motivation for the introduction of a "parameter-varying" version of SNMLS.