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Correlation Model for Uniform Scalar Quantizers with Arbitrary Representation Levels

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3 Author(s)
Are Hjorungnes ; UniK - University Graduate Center, University of Oslo, Instituttveien 25, P. O. Box 70, N-2027 Kjeller, Norway. Email: arehj@unik.no ; Pradeepa Yahampath ; Mirek Pawlak

This article derives closed-form expressions for correlation values of quantization errors in a set of uniform quantizers with arbitrary representation levels, operating on a vector of Gaussian stochastic variables. The problem is relevant to subband coding of random vectors using linear filter hunks, a technique that may be useful fur lossy compression of micro-array images. The results obtained here generalize previous results in which the representation levels are constrained to be midpoints of uniform quantization intervals. In particular, a set of expressions for auto-and cross-correlation values of the quantization error vector are derived. Monte-Carlo simulations are used to verify the validity of the given expressions, which indicate a very good match between numerical results and the values predicted by the derived expressions.

Published in:

2007 IEEE International Workshop on Genomic Signal Processing and Statistics

Date of Conference:

10-12 June 2007