Gaussian source coding based on variance-mismatched three-level scalar quantisation using Q-function approximations

Zoran Peric, Bojan Denic*, Vladimir Despotovic

*Corresponding author for this work

Research output: Contribution to journalArticleResearchpeer-review


This study deals with three-level scalar quantisation of a Gaussian source, followed by Huffman encoder, especially suitable for signal compression purposes. The variance-matched and variance-mismatched versions of quantiser are considered. Simple approximate closed-form expressions for performance evaluation in terms of signal-to-quantisation-noise ratio and bit rate are derived using the corresponding Q-function approximations. The accuracy of the derived formulas is tested using the relative error as a measure of performance. It is shown that the derived formulas for variance-matched (for a reference variance) and variance-mismatched (in a wide range of input signal variances) provide higher accuracy in comparison to baselines using other available Q-function approximations or available approximate formulas for non-uniform scalar quantisation of Gaussian source.

Original languageEnglish
Pages (from-to)594-602
Number of pages9
JournalIET Communications
Issue number4
Publication statusPublished - 3 Mar 2020
Externally publishedYes

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