RNS-to-Binary Converters for Two Four-Moduli Sets {2n−1,2n,2n+1,2n+1−1} and {2n−1,2n,2n+1,2n+1+1} |
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| Authors: | Mohan P.V.A. Premkumar A.B. |
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| Affiliation: | Electronics Corporation of India Ltd., Bangalore; |
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| Abstract: | In this paper, reverse converters for two recently proposed four-moduli sets {2n - 1,2n,2n + 1,2n+1 - 1} and {2n - 1, 2n, 2n + 1, 2n+1 + 1} are described. The reverse conversion in the three-moduli set {2n - 1,2n,2n + 1} has been optimized in literature. Hence, the proposed converters are based on two new moduli sets {(2n(22n-1)),2n+1-1} and {(2n(22n-1)), 2n+1+1} and use mixed radix conversion. The resulting designs do not require any ROM. Both are similar in their architecture except that the converter for the moduli set {2n - 1, 2n, 2n + 1, 2n+1 + 1} is slightly complicated due to the difficulty in performing reduction modulo (2n+1+1) as compared with modulo (2n+1-1). The proposed conversion techniques are compared with earlier realizations described in literature with regard to conversion time as well as area requirements. |
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