Design of piecewise uniform scalar quantizer for the backward adaptive algorithm

This paper proposes a novel piecewise uniform scalar quantizer model built on the bases of the Jayant´s quantizer model. The novel model utilizes the Jayant´s manner of maximum amplitude adaptation, which means according to the one word memory and with the use of the backward adaptive technique. Particularly, the proposed model is equal to the Jayant´s quantizer model when the step size multiplier, introduced by the novel model, has the unit value. Therefore, we actually propose more general model of a quantizer that, as we will demonstrate, provides overreaching of the Jayant´s average signal to quantization noise ratio for about 9 dB.