RNS reverse converters based on the new Chinese Remainder Theorem I

In the last years, research on residue number systems (RNS) has targeted larger dynamic ranges in order to further explore the inherent parallelism of these systems. In this paper, a performance analysis is presented for RNS-to-binary architectures based on New Chinese Remainder Theorem I (New CRT-I). Four different approaches are explored, each of them focused on the area or delay reduction of one specific stage of the converter. In addition, a selection of the constants associated to these algorithm approaches is proposed, which results into significant area reductions. Experimental results show that the use of an appropriate parameter selection can achieve a reduction of area and delay around 21% in comparison with the best solutions existing in the state-of-the-art using the New CRT-I technique and conventional parameter selection.