Quantized Frame Decompositions
UNIVERSIDADE FEDERAL DO RIO DE JANEIRO (BRAZIL) COORDENACAO DOS PROGRAMAS DEPOS-GRADUACAO DE ENGENHARIA
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In this paper, we consider a certain type of decomposition of vectors in frames, in which the coefficients are already quantized and thus are ready for coding. This decomposition is a generalization for vectors of the usual binary expansion of real numbers, and the algorithm for obtaining it can be seen as a quantized version of the matching pursuits algorithm. We show that, in several cases, applying this algorithm is better than first finding the frame coefficients and then quantizing them.
- Numerical Mathematics
- Theoretical Mathematics