Abstract
The paper derives formulas for the mean-squared error distortion and resulting signal-to-noise (SNR) ratio of a fixed-rate scalar quantizer designed optimally in the minimum mean-squared error sense for a Gaussian density with the standard deviation <TEX>${\sigma}_q$</TEX> when it is mismatched to a Laplacian density with the standard deviation <TEX>${\sigma}_q$</TEX>. The SNR formulas, based on the key parameter and Bennett's integral, are found accurate for a wide range of <TEX>$p\({\equiv}\frac{\sigma_p}{\sigma_q}\){\geqq}0.25$</TEX>. Also an upper bound to the SNR is derived, which becomes tighter with increasing rate R and indicates that the SNR behaves asymptotically as <TEX>$\frac{20\sqrt{3{\ln}2}}{{\rho}{\ln}10}\;{\sqrt{R}}$</TEX> dB.
Sign-in/Register to access full text options 
Talk to us
Join us for a 30 min session where you can share your feedback and ask us any queries you have
Schedule a callMore From: The Journal of Korean Institute of Communications and Information Sciences
Disclaimer: All third-party content on this website/platform is and will remain the property of their respective owners and is provided on "as is" basis without any warranties, express or implied. Use of third-party content does not indicate any affiliation, sponsorship with or endorsement by them. Any references to third-party content is to identify the corresponding services and shall be considered fair use under The CopyrightLaw.
