Multirate systems and filter banks
Multirate systems and filter banks
Quantized Frame Expansions as Source Channel Codes for Erasure Channels
DCC '99 Proceedings of the Conference on Data Compression
Quantized Oversampled Filter Banks with Erasures
DCC '01 Proceedings of the Data Compression Conference
IEEE Transactions on Signal Processing
The eigenvalues of matrices that occur in certain interpolationproblems
IEEE Transactions on Signal Processing
Oversampled cosine-modulated filter banks with arbitrary systemdelay
IEEE Transactions on Signal Processing
Frame-theoretic analysis of oversampled filter banks
IEEE Transactions on Signal Processing
IEEE Transactions on Signal Processing
Performance analysis and recursive syndrome decoding of DFT codes for bursty erasure recovery
IEEE Transactions on Signal Processing
Frame-theoretic analysis of DFT codes with erasures
IEEE Transactions on Signal Processing
Noise reduction in oversampled filter banks using predictive quantization
IEEE Transactions on Information Theory
Filter bank frame expansions with erasures
IEEE Transactions on Information Theory
Optimal filter banks for multiple description coding: analysis and synthesis
IEEE Transactions on Information Theory
Joint source-channel coding for motion-compensated DCT-based SNR scalable video
IEEE Transactions on Image Processing
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This paper examines erasure resilience of oversampled filter bank (OFB) codes, focusing on two families of codes based on cosine-modulated filter banks (CMFB). We first revisit OFBs in light of filter bank and frame theory. The analogy with channel codes is then shown. In particular, for paraunitary filter banks, we show that the signal reconstruction methods derived from the filter bank theory and from coding theory are equivalent, even in the presence of quantization noise. We further discuss frame properties of the considered OFB structures. Perfect reconstruction (PR) for the CMFB-based OFBs with erasures is proven for the case of erasure patterns for which PR depends only on the general structure of the code and not on the prototype filters. For some of these erasure patterns, the expression of the mean-square reconstruction error is also independent of the filter coefficients. It can be expressed in terms of the number of erasures, and of parameters such as the number of channels and the oversampling ratio. The various structures are compared by simulation for the example of an image transmission system.