pregledni rad (znanstveni)
Constructions of Dual Frames Compensating for Erasures with Implementation
Sažetak
Let $Isubseteq Bbb N$ be a finite or infinite set. Let $(x_n)_{ninBbb N}$ be a frame for a Hilbert space $H$ and $E$ a finite set of indices which satisfies the minimal redundancy condition. There are several ways how to, starting from an arbitrary dual frame $(y_n)_{ninBbb N}$ of $(x_n)_{ninBbb N}$, compute a dual frame of the reduced frame $(x_n)_{nin E^c}$ which is then used for perfect reconstruction from preserved frame coefficients.
In this paper we implemented the algorithms for a method of a perfect reconstruction based on iterative procedures and tested them for computational efficiency.
Ključne riječi
Frame; Erasure; Reconstruction; Dual frame; Canonical dual