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 of the applied-to density to the designed-for density is greater than 3 2, the SNR in dB increases at large rate as 9 03 + 15(1 1 ) log plus a constant that depends only on .Index Terms-Asymptotic SNR formulas, Bennett's integral, Gaussian source, mean-square error distortion, variance mismatch.

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