• DocumentCode
    1445417
  • Title

    Asymptotic Formulas for Variance-Mismatched Fixed-Rate Scalar Quantization of a Gaussian Source

  • Author

    Na, Sangsin

  • Author_Institution
    Div. of Electr. & Comput. Eng., Ajou Univ., Suwon, South Korea
  • Volume
    59
  • Issue
    5
  • fYear
    2011
  • fDate
    5/1/2011 12:00:00 AM
  • Firstpage
    2437
  • Lastpage
    2441
  • 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;
  • fLanguage
    English
  • Journal_Title
    Signal Processing, IEEE Transactions on
  • Publisher
    ieee
  • ISSN
    1053-587X
  • Type

    jour

  • DOI
    10.1109/TSP.2011.2112354
  • Filename
    5710432
    • Link To Document
    https://search.isc.ac/dl/search/defaultta.aspx?DTC=49&DC=1445417