A New Efficient RNS Reverse Converter for the 4-Moduli Set
Authors: Edem K. Bankas, Kazeem A. Gbolagade
Abstract:
In this paper, we propose a new efficient reverse converter for the 4-moduli set {2n, 2n + 1, 2n − 1, 22n+1 – 1} based on a modified Chinese Remainder Theorem and Mixed Radix Conversion. Additionally, the resulting architecture is further reduced to obtain a reverse converter that utilizes only carry save adders, a multiplexer and carry propagate adders. The proposed converter has an area cost of (12n + 2) FAs and (5n + 1) HAs with a delay of (9n + 6)tFA + tMUX. When compared with state of the art, our proposal demonstrates to be faster, at the expense of slightly more hardware resources. Further, the Area-Time square metric was computed which indicated that our proposed scheme outperforms the state of the art reverse converter.
Keywords: Modified Chinese Remainder Theorem, Mixed Radix Conversion, Reverse Converter, Carry Save Adder, Carry Propagate Adder.
Digital Object Identifier (DOI): doi.org/10.5281/zenodo.1091392
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