7 papers
Optimal dual pairs of frames for erasures
S. Arati, P. Devaraj, Shankhadeep Mondal
The study involves characterizations of dual pairs of frames which are optimal to handle erasures among all dual pairs for a finite dimensional Hilbert space. A new optimality meas…
Optimal dual frames and dual pairs for probability modelled erasures using weighted average of operator norm and spectral radius
S. Arati, P. Devaraj, Shankhadeep Mondal
The prime focus of this paper is the study of optimal duals of a given finite frame as well as optimal dual pairs, in the context of probability modelled erasures of frame coeffici…
Characterizations of weak R-duality and its application to Gabor frames
Himanshi Bansal, P. Devaraj, S. Arati
Weak R-duals, a generalization of R-duals, were recently introduced; for which duality relations were established. In this paper, we consider the problem of characterizing a given…
Random average sampling over quasi shift-invariant spaces on LCA groups
Ankush Kumar Garg, S. Arati, P. Devaraj
The problem of random average sampling and reconstruction over multiply generated local quasi shift-invariant subspaces of mixed Lebesgue spaces in the setting of locally compact a…
On Riesz duals for the Gabor system on LCA groups
S. Arati, P. Devaraj
In this paper, we analyse the circumstances in which the adjoint Gabor system is an R-dual of a given Gabor frame in the context of separable uniform time-frequency lattices in loc…
Random average sampling and reconstruction in shift-invariant subspaces of mixed Lebesgue spaces
Ankush Kumar Garg, S. Arati, P. Devaraj
In this paper, the problem of reconstruction of signals in mixed Lebesgue spaces from their random average samples has been studied. Probabilistic sampling inequalities for certain…
Sampling theorem and reconstruction formula for the space of translates on the Heisenberg group
S. Arati, R. Radha
The paper deals with the necessary and sufficient conditions for obtaining reconstruction formulae and sampling theorems for every function belonging to the principal shift invaria…