Dual frames compensating for erasures

izvorni znanstveni rad

izvorni znanstveni rad

Dual frames compensating for erasures

Vrsta prilog u časopisu
Tip izvorni znanstveni rad
Godina 2017
Časopis Glasnik matematički
Nadređena publikacija Glasnik matematički
Volumen 52
Svesčić 1
Stranice str. 131-146
DOI 10.3336/gm.52.1.10
ISSN 0017-095X
EISSN 1846-7989
Status objavljeno

Sažetak

We discuss the problem of recovering signal from frame coefficients with erasures. Such problems arise naturally from applications where some of the coefficients could be corrupted or erased during the data transmission. Provided that the erasure set satisfies the minimal redundancy condition, we construct a suitable synthesizing dual frame which enables us to perfectly reconstruct the original signal without recovering the lost coefficients. Such dual frames which compensate for erasures are described from various viewpoints.

Ključne riječi

Frame ; dual frame ; erasure