ANALYSIS OF SOME NEW APPROXIMATIONS OF PIECEWISE UNIFORM POLAR QUANTIZATION
Zoran Perić, Aleksandra Medvedeva · 2005
In this paper the piecewise uniform polar quantization of Gaussian source is analyzed. Simultaneous inside the rings after the first partition the constant probability density function of input signal vector amplitude is supposed. For this case and for the given code rate we optimized the granular distortion in order to get the manner of total points number distribution per rings after the first partition; than the manner of the second partition, i.e. we evaluated the expressions for amplitude levels number and the phase levels number on one amplitude level. Also we found the expression for granular distortion which we used to estimate the suggested model. Namely, we compare the obtained signal to quantization noise ratio with the known optimal ratio and on these bases we conclude, among the other things, under which condition the suggested approximation can be applied.