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Proceedings Paper

Lattice quantization error for redundant representations
Author(s): Sergiy Borodachov; Yang Wang
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Paper Abstract

Redundant systems such as frames are often used to represent a signal for error correction, denoising and general robustness. In the digital domain quantization needs to be performed. Given the redundancy, the distribution of quantization errors can be rather complex. In this paper we study quantization error for a signal X in Rd represented by a frame using a lattice quantizer. We characterize the asymptotic distribution of the quantization error as the cell size of the lattice goes to zero. We apply these results to get the necessary and sufficient conditions for the White Noise Hypothesis to hold asymptotically in the case of the pulse-code modulation scheme. This is an abbreviated version of a paper that will appear elsewhere in a regular refereed journal.

Paper Details

Date Published: 4 September 2009
PDF: 9 pages
Proc. SPIE 7446, Wavelets XIII, 74460N (4 September 2009); doi: 10.1117/12.826755
Show Author Affiliations
Sergiy Borodachov, Towson Univ. (United States)
Yang Wang, Michigan State Univ. (United States)


Published in SPIE Proceedings Vol. 7446:
Wavelets XIII
Vivek K. Goyal; Manos Papadakis; Dimitri Van De Ville, Editor(s)

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