We present a theoretical analysis of a perceptual coding approach, the so called Weber quantizer. It is based on Weber's Law and can be used in haptic data communication to eliminate changes which cannot be perceived by a human being.??The main advantage of the Weberquantizer is that it minimizes the number of samples or packets to be processed and transmitted. Basic properties like the resulting sample rate of the proposed Weber quantizer are derived analytically and proven correct by simulation for the case of an independently and identically distributed (i.i.d.) input sequence. The contributions in this paper are a step towards the understanding of the relationship between the Weber quantizer and its update rate savings.