Quantized frame expansions based on tree-structured oversampled filter banks for erasure recovery
The paper studies quantized frame expansions based on tree-structured oversampled filter banks for robust transmission of multimedia signals over erasure channels. The dependencies between the expansion coefficients introduced by the oversampled tree-structured filter banks are analysed in the z-transform domain. The capacity of correction in the presence of different erasure patterns then follows naturally. This analysis leads to the design of a reconstruction algorithm in the presence of erasures, and first without quantization noise. The impact of quantization error on the reconstruction error is then studied. For the tree-structured oversampled filter banks, we prove that reconstruction from a larger class of erasure patterns is possible as compared to regular oversampled filter banks. The reconstruction mean square error is significantly lower in the case of the tree-structured filter bank as compared to regular oversampled filter banks (Motwani, R. and Guillemot, C., 2003) and block transforms, even if the erasures are bursty in nature.