Improved Residue Number System Reverse Conversion Algorithm for [[Equation]] Three Moduli Set Implementation in Sensor Networks

Improved Residue Number System Reverse Conversion Algorithm for [[Equation]] Three Moduli Set Implementation in Sensor Networks

PRINCE MODEY, Gaddafi Adbdul-Salaam, Alimatu Sadia Shirazu, Mohammad Hossein Anisi, Emmanuel Freeman

Residue Number System (RNS) is a number system providing borrow-free subtraction, carry-free addition, parallel operations, and one-step multiplication. These capabilities make RNS applications in Digital Signal Processing and Wireless Networks a good choice. Although RNS has proven to solve the problem of carry propagation in binary number systems, it has the problem of reverse conversion, which limits its implementation in digital systems likewise sensor nodes. In this paper, we proposed an RNS reverse converter based on the moduli set {[[EQUATION]]} and the residue number [[EQUATION]]. The proposed scheme re-grouped the moduli set into two sub-moduli sets with their corresponding residue representations. The proposed method in this study requires [[EQUATION]] bit hardware resources for its implementation and also imposed [[EQUATION]] delay in its performance. The proposed RNS reverse converter needs lesser hardware resources for its implementation compared to other state of the art, making it suitable for hardware implementation in sensor networks. The proposed scheme demonstrates reliable and secure data transmission in Wireless Sensor Networks (WSNs) by using the RRNS QC encoder/decoder scheme.

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