Modeled Analysis on Requantization Error

Requantization has many applications in the processing of compressed multimedia content. However, no work has thorough analysis on its dynamics. A previous work has only numerically evaluated this process since it is found difficult to track analytically. We present a new approach in this paper to carry out an analytical study based on analysis of the intervals using number theory. This work proves some of the insights proposed before as propositions. The theoretical results also serve as a foundation in further algorithm development for requantization-related applications