Quantization Noise Shaping on Arbitrary Frame Expansions
Author(s)Boufounos, Petros T.; Oppenheim, Alan V.
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Quantization noise shaping is commonly used in oversampled A/D and D/A converters with uniform sampling. This paper considers quantization noise shaping for arbitrary finite frame expansions based on generalizing the view of first-order classical oversampled noise shaping as a compensation of the quantization error through projections. Two levels of generalization are developed, one a special case of the other, and two different cost models are proposed to evaluate the quantizer structures. Within our framework, the synthesis frame vectors are assumed given, and the computational complexity is in the initial determination of frame vector ordering, carried out off-line as part of the quantizer design. We consider the extension of the results to infinite shift-invariant frames and consider in particular filtering and oversampled filter banks.
DepartmentMassachusetts Institute of Technology. Digital Signal Processing Group; Massachusetts Institute of Technology. Department of Electrical Engineering and Computer Science; Massachusetts Institute of Technology. Research Laboratory of Electronics
EURASIP Journal on Applied Signal Processing
Hindawi Publishing Corporation
EURASIP Journal on Advances in Signal Processing. 2006 Mar 23;2006(1):053807 © 2006 P. T. Boufounos and A. V. Oppenheim
Author's final manuscript