Asymptotic Formulas for Variance-Mismatched Fixed-Rate Scalar Quantization of a Gaussian Source
- 7 February 2011
- journal article
- Published by Institute of Electrical and Electronics Engineers (IEEE) in IEEE Transactions on Signal Processing
- Vol. 59 (5), 2437-2441
- https://doi.org/10.1109/tsp.2011.2112354
Abstract
Asymptotic formulas are derived for the mean-squared error (MSE) distortion and the SNR of a variance-mismatched fixed-rate scalar quantizer designed MSE-optimally for a Gaussian source. It is discovered that, in the case that the standard deviation ratio ρ of the applied-to density to the designed-for density is greater than √(3/2), the SNR in dB increases at large rate R as 9.03R/ρ2+15(1-1/ρ2)log10R plus a constant that depends only on ρ.Keywords
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