In this paper, the switched nonuniform polar quantization is asymptotically analyzed for the case when the power of an input signal varies in a wide range. We observed two compression functions: logarithmic and optimum. For the suggested quantizer model we optimized the granular distortion in order to obtain the manner of the total distribution of points, i.e., we evaluated the expressions for the amplitude-level number and the phase-level number for on one amplitude level. In addition, we found the expression for granular distortion, which we used to estimate the suggested model. We compared the numerically obtained results with the G711 and G712 standards, and on these bases, we derived conclusions about the possibilities of this switched quantization application in speech processing. The suggested quantizer can be used for data compression where the saving can reach 1.5 bits/sample. This circumstance means that the technique that we presented in the paper can be applied for voice transmission over the Internet (VoIP) and in public switched telephone networks (PSTN).PUBLICATION ABSTRACT