Affiliation:
1. Clemson University, USA
Abstract
In this work, the authors develop signaling models based on ideas from homology and discuss how to design a model of signal space which decomposes the incoming signals into classes of progressively higher levels of associative meaning. The tools needed are illustrated with a simple approach using standard linear algebra processing but this is just a simple point of departure into a more complex and potentially more useful signal processing toolbox involving computational homology. These ideas then lead to models of grammar for signals in terms of cascaded barcode signal representations.