Citation Context

...jor issues in efficient design of RNS systems is the residue to weighted conversion. The algorithms of 72 A. Sabbagh Molahosseini, M. Hosseinzadeh, K. Navi residue to weighted conversion are mainly based on chinese remainder theorem (CRT), mixed-radix conversion (MRC) [1] and new chinese remainder theorems (New CRTs) [2]. In addition to these, novel conversion algorithms [3] which are designed for some special moduli sets have been proposed. Multiple-valued logic (MVL) has been proposed as a means for reducing the power, improving the speed, and increasing the packing density of VLSI circuits [4]. In MVL, the number of discrete signal values or logic states extends beyond two. Arithmetic units implemented with MVL achieve more efficient use of silicon resource and circuit interconnections [5]. There is a clear mathematical attraction of using multiple-valued number representation in RNS. The modular arithmetic that is inherent in MVL can be match with modular arithmetic needed in RNS. The first MVL-RNS system was introduced by Soderstrand et al. [6] to design a high speed FIR digital filter. The residue to weighted converter proposed in [6] is based on chinese remainder theorem (CRT) ...