Design of Asymmetric Multiple Description Lattice Vector Quantizers
DCC '00 Proceedings of the Conference on Data Compression
Multiple-description coding by dithered delta-sigma quantization
IEEE Transactions on Information Theory
N-channel asymmetric entropy-constrained multiple-description lattice vector quantization
IEEE Transactions on Information Theory
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This paper presents a POCS-based algorithm for consistent reconstruction of a signal x 2 R K from any subset of quantized coefficients y 2 R N in an N 脳 K overcomplete frame expansion y = Fx, N = 2K. By choosing the frame operator F to be the concatenation of two K 脳 K invertible transforms, the projections may be computed in R K using only the transforms and their inverses, rather than in the larger space R N using the pseudo-inverse as proposed in earlier work. This enables practical reconstructions from overcomplete frame expansions based on wavelet, subband, or lapped transforms of an entire image, which has heretofore not been possible.