Ten lectures on wavelets
Atomic Decomposition by Basis Pursuit
SIAM Journal on Scientific Computing
n-Channel Symmetric Multiple-Description Lattice Vector Quantization
DCC '05 Proceedings of the Data Compression Conference
Fast Index Assignment for Balanced N-Description Scalar Quantization
DCC '05 Proceedings of the Data Compression Conference
Tree-Based Pursuit: Algorithm and Properties
IEEE Transactions on Signal Processing
Frame-theoretic analysis of DFT codes with erasures
IEEE Transactions on Signal Processing
Multiple-description vector quantization with lattice codebooks: design and analysis
IEEE Transactions on Information Theory
Generalized multiple description coding with correlating transforms
IEEE Transactions on Information Theory
Multiple description wavelet based image coding
IEEE Transactions on Image Processing
Low-rate and flexible image coding with redundant representations
IEEE Transactions on Image Processing
Matching pursuits multiple description coding for wireless video
IEEE Transactions on Circuits and Systems for Video Technology
A new error resilient video coding using matching pursuit and multiple description coding
IEEE Transactions on Circuits and Systems for Video Technology
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Multiple description coding offers an elegant and competitive solution for data transmission over lossy packet-based networks, with a graceful degradation in quality as losses increase. In the same time, coding techniques based on redundant transforms give a very promising alternative for the generation of multiple descriptions, mainly due to redundancy inherently given by a transform, which offers intrinsic resiliency in case of loss. In this paper, we show how partitioning of a generic redundant dictionary can be used to obtain an arbitrary number of multiple complementary, yet correlated, descriptions. The most significant terms in the signal representation are drawn from the partitions that better approximate the signal, and split to different descriptions, while the less important ones are alternatively distributed between the descriptions. As compared to state-of-the-art solutions, such a strategy allows for a better central distortion since atoms in different descriptions are not identical; in the same time, it does not penalize the side distortions significantly since atoms from the same partition are likely to be highly correlated. The proposed scheme is applied to the multiple description coding of digital images, and simulation results show increased performances compared to state-of-the-art schemes, both in terms of distortions and robustness to loss rate variations.