Asymptotic Formulas for Variance-Mismatched Fixed-Rate Scalar Quantization of a Gaussian Source
Sangsin Na · IEEE Transactions on Signal Processing · 2011
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 rateRas 9.03R/ρ2+15(1-1/ρ2)log10Rplus a constant that depends only on ρ.