Naslov
Dual frames compensating for erasures

Autori
Arambašić, Ljiljana

Vrsta, podvrsta i kategorija rada
Sažeci sa skupova, sažetak, znanstveni

Skup
Advanced Courses in Operator Theory and Complex Analysis

Mjesto i datum
Bologna, Italija, 11.06.2018. - 14.06.2018

Vrsta sudjelovanja
Predavanje

Vrsta recenzije
Međunarodna recenzija

Ključne riječi
Hilbert space ; frame ; dual frame

Sažetak
A sequence in a Hilbert space H is a frame for H if there exist positive constants A and B such that, for every unit x in H, the sum of squares of inner products of x with elements of frames converges to the number between A and B. Frames are often used in process of encoding and decoding signals. It is the redundancy property of frames that makes them useful in applications where some of the coefficients could be lost during the data transmission. We discuss the problem of recovering signal from frame coefficients with erasures. Provided that the erasure set satisfies the minimal redundancy condition, we construct a suitable synthesizing dual frame which enables a perfect reconstruction of the original signal without recovering the lost coefficients. This is a joint work with Damir Bakić.

Izvorni jezik
Engleski

Znanstvena područja
Matematika

POVEZANOST RADA