Fusion frames

Abstract

Novel technological advances have significantly increased the demand to model applications requiring distributed processing. Frames are, however, too restrictive for such applications, wherefore it was necessary to go beyond classical frame theory. Fusion frames, which can be regarded as frames of subspaces, satisfy exactly those needs. They analyze signals by projecting them onto multidimensional subspaces, in contrast to frames which consider only one-dimensional projections. This chapter serves as an introduction to and a survey about this exciting area of research as well as a reference for the state of the art of this research field.