Title :
Asymptotic Formulas for Variance-Mismatched Fixed-Rate Scalar Quantization of a Gaussian Source
Author_Institution :
Div. of Electr. & Comput. Eng., Ajou Univ., Suwon, South Korea
fDate :
5/1/2011 12:00:00 AM
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 :
Gaussian processes; quantisation (signal); Gaussian source; SNR; asymptotic formula; mean squared error distortion; standard deviation ratio; variance-mismatched fixed-rate scalar quantization; variance-mismatched fixed-rate scalar quantizer; Accuracy; Chebyshev approximation; Laplace equations; Quantization; Signal to noise ratio; Upper bound; Asymptotic SNR formulas; Bennett´s integral; Gaussian source; mean-square error distortion; variance mismatch;
Journal_Title :
Signal Processing, IEEE Transactions on
DOI :
10.1109/TSP.2011.2112354
