Performance Analysis of Random Dither Quantizers in Feedback Control Systems

This paper analyzes the performance of the random dither quantizers from the view of feedback control. In particular, we focus here on the uniform random dither quantizers, which use an additional random signal with a uniform distribution at each sampling period. First, two interesting properties are shown by numerical examples, which motivate us to analyze the performance of such quantizers in feedback control loop. Next, an upper bound of the performance is derived, which enables us to easily estimate the performance of the random dither quantizers. Finally, the relation between the performance and the sampling period is clarified.