Quantization Noise Shaping on Arbitrary Frame Expansions
Name
1687-6180-2006-053807.pdf
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942.19 KB
Format
Adobe PDF
Checksum (MD5)
02291e58c3e5c749529c16ae31a53d42
Author(s)
Boufounos, Petros T.
Oppenheim, Alan V.
Date Issued
March 2006
Journal
EURASIP Journal on Applied Signal Processing
Publisher
Hindawi Publishing Corporation
Citation
EURASIP Journal on Advances in Signal Processing. 2006 Mar 23;2006(1):053807 © 2006 P. T. Boufounos and A. V. Oppenheim
Version
Author's final manuscript
Abstract
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.
MIT Department
Massachusetts 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
Persistent DSpace Link
DOI of Published Version
https://doi.org/10.1155/ASP/2006/53807
