Ten lectures on wavelets
Multirate systems and filter banks
Multirate systems and filter banks
Wavelets and subband coding
Quantized Frame Expansions as Source Channel Codes for Erasure Channels
DCC '99 Proceedings of the Conference on Data Compression
Analysis of Optimal Filter Banks for Multiple Description Coding
DCC '00 Proceedings of the Conference on Data Compression
IEEE Transactions on Signal Processing
Quantized overcomplete expansions in IRN: analysis, synthesis, and algorithms
IEEE Transactions on Information Theory
Optimal subband filter banks for multiple description coding
IEEE Transactions on Information Theory
EURASIP Journal on Applied Signal Processing
Joint source-channel coding by means of an oversampled filter bank code
EURASIP Journal on Applied Signal Processing
Multiple-description coding by dithered delta-sigma quantization
IEEE Transactions on Information Theory
Frame-theoretic analysis of robust filter bank frames to quantization and erasures
IEEE Transactions on Signal Processing
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Abstract: Oversampled filter banks can be used to enhance resilience to erasures in communication systems in much the same way that finite-dimensional frames have previously been applied. This paper extends previous finite dimensional treatments to frames and signals in l_{2}(\cal Z) with frame expansions that can be implemented efficiently with filter banks. It is shown that tight frames attain best performance. In particular, if encoding with a uniform frame, the quantization error is minimized if and only if the frame is tight. In case of one erasure and if encoding with a strongly uniform frame, tight frames are still optimal. In case of more erasures, an expression for the mean square error is given and some general considerations are presented.