Universität Dortmund, Mathematik-Gebäude, M/614

Recently frames or redundant expansions of signals attracted a considerable interest of researchers working in signal processing. As the requirement of one-to-one correspondence between the signal and its transform coefficients is dropped, there is more freedom in the design and implementation of the frame transforms. The frame expansions of signals demonstrate resilience to the quantization noise and to the coefficients losses. Thus, frames may serve as a tool for error correction by the transmission of signals through lossy channels. Additional adaptation abilities of the overcomplete representation of signals has a potential to succeed in denoising and compression of signals.

Prof. Valery A. Zheludev

School of Computer Science, Tel Aviv University