gabor frames 1generalized translation-invariant systems 1pairwise orthogonal frames 1sampling theory 1shearlet frames 1wavelet frames 1
From the 1 of 3 linked papers with an AI index.
3 papers
math.FA2026
Characterization and Construction of Pairwise Orthogonal Parseval Frames with Applications to Sampling
Navneet Redhu, Anupam Gumber, Hartmut Führ +1
The paper characterizes when generalized translation‑invariant (GTI) frames are pairwise orthogonal using the unconditional convergence property, provides orthogonality criteria fo…
math.FA2025
Ramanujan sums in signal recovery and uncertainty principle inequalities
Sahil Kalra, Niraj K. Shukla
This paper explores the perfect reconstruction property of filter banks based on Ramanujan sums and their applications in signal recovery. Originally introduced by Srinivasa Ramanu…
math.FA2025
Cyclic frames in finite-dimensional Hilbert spaces
Ole Christensen, Navneet Redhu, Niraj K. Shukla
Generalizing a definition by Kalra \cite{Kalra}, the purpose of this paper is to analyze cyclic frames in finite-dimensional Hilbert spaces. Cyclic frames form a subclass of the dy…