An effective precision analysis method for word length optimization

Abstract

In the existing methods, the process of sub-systems' output word lengths determination is iterative when the system is partitioned. To save time, the proposed static precision analysis method in this paper does not need to be iterative during the determination of the output precision of sub-systems. In this paper, the fractional word length of each signal is divided into two parts: the uniform fractional word length (UFWL) and the rectificatory fractional word length (RFWL). Hence, the minimized system area of one sub-system can be expressed as a function, which is related to the output precision of the sub-system. The implement time of this method is reduced significantly with the growth of the number of the sub-systems. This method is demonstrated with some cases. Compared with the existing word length optimization tool LengthFinder for 15 output precisions, the saving time is from 54.55% to 97.61%.