Titlebook: Embedded Systems Design with Special Arithmetic and Number Systems; Amir Sabbagh Molahosseini,Leonel Seabra de Sousa,C Book 2017 Springer

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RNS Applications in Computer Networksead attracts network researchers. The RNS has been used as a tool to reduce transmission energy and increase reliability in wireless sensor networks. Moreover, RNS can enhance switching process, and substitute lookup tables with simple modular operations in software-defined network. This chapter pre

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https://doi.org/10.1007/978-3-662-31554-5basic arithmetic operations and algorithms and progressing to state-of-the-art hardware implementations and useful cryptanalytic properties, the reader will hopefully obtain a holistic overview of the implications, challenges, and unexplored issues of this emerging field.

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Robust Analog Arithmetic Based on the Continuous Valued Number Systemrequirements. Higher overlap between the digits means errors can be corrected to a higher degree; however, area and power requirements of the system increase. In this chapter principles of digit generation, CVNS addition, and CVNS multiplication are presented.

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RNS-Based Image Processingompression. In addition, we describe the use of a Finite Field Wavelets for digital image processing particularly in image encryption with using several finite fields combined in Residue Number System.

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,Graphen, B?ume, Netze, Netzpl?ne,defined from the RNS to the Integers are discussed: the ‘diagonal functions’ and the ‘quotient functions’. Through the paper the new implementations of non-modular operations in the RNS are described and their effectiveness is analysed with respect to traditional techniques in the literature.