Construction of pairwise orthogonal Parseval frames generated by filters on LCA groups
The generalized translation invariant (GTI) systems unify the discrete frame theory of
generalized shift-invariant systems with its continuous version, such as wavelets, shearlets …
generalized shift-invariant systems with its continuous version, such as wavelets, shearlets …
[HTML][HTML] Orthogonality of a pair of frames over locally compact abelian groups
In this article, we provide necessary and sufficient conditions for the orthogonality of two
Bessel families when such families have the form of generalized translation invariant (GTI) …
Bessel families when such families have the form of generalized translation invariant (GTI) …
[HTML][HTML] Pairwise orthogonal frames generated by regular representations of LCA groups
Having potential applications in multiplexing techniques and in the synthesis of frames,
orthogonality (or strongly disjointness) plays a significant role in frame theory (eg …
orthogonality (or strongly disjointness) plays a significant role in frame theory (eg …