A novel approach for direct analog-to-residue conversion is presented in this chap/er using the most popular sigma-della analog-to-digital converter. This converter provides high resolulion. high conversion speed and a low cost for implementation. The non-positional nature (~f RNS makes it suitable for fault-toleranl architectures. The error detection and correction properties (?f Redundant Res...

1 * Acknowledgement: The valued comments and critique of the anonymous Reviewers is gratefully acknowledged. The kind assistance of Kai Yen in finding the distribution of the ratio statistic test is gratefully acknowledged. 2 This work has been submitted to the IEEE for possible publication. Copyright may be transferred without notice, after which this version will be superseded. Abstract A nov...

Residue Number System (RNS), which originates from the Chinese Remainder Theorem, offers a promising future in VLSI because of its carry-free operations in addition, subtraction and multiplication. This property of RNS is very helpful to reduce the complexity of calculation in many applications. A residue number system represents a large integer using a set of smaller integers, called residues....

In the past decades, Residue Number System (RNS) has been adopted in DSP as an alternative to traditional two’s complement number system (TCS) because of savings area and power dissipation. this work, we first perform a comprehensive Design Space Exploration (DSE) analyze impact state-of-the-art design tools libraries on implementation basic operations (i.e., addition multiplication) use...

Residue number system (RNS) enables dimensionality reduction of an arithmetic problem by representing a large number as a set of smaller integers, where the number is decomposed by prime number factorization using the moduli as basic functions. These reduced problem sets can then be processed independently and in parallel, thus improving computational efficiency and speed. Here we show an optic...

In this paper we show how the usage of Residue Number Systems (RNS) can easily be turned into a natural defense against many side-channel attacks (SCA). We introduce a Leak Resistant Arithmetic (LRA), and present its capacities to defeat timing, power (SPA, DPA) and electromagnetic (EMA) attacks. keywords: Side Channel Attacks, Residue Number Systems, RNS Montgomery multiplication

A novel signaling scheme is presented, where a set of orthogonal signals is transmitted in parallel. The signals are selected according to the so-called residue number system (RNS). Hence the system is essentially a multiple code parallel communication scheme using high modulation alphabets. It is demonstrated that the system’s performance can be substantially improved by exploiting a number of...

In this paper, a novel architecture of RNS based 1D Lifting Integer Wavelet Transform (IWT) has been introduced. Advantage of Residue Number System (RNS) based Lifting Scheme over RNS based Filter Bank and non-binary IWT has been discussed. The performance of traditional predicts and updates stage of binary Lifting Scheme (LS) for Discrete Wavelet Transform (DWT) generates huge carry propagatio...

Modular multiplication is the main and basic operation in public key cryptography algorithms like Elliptic Curve Cryptography (ECC). By using Residue Number System (RNS) in these algorithms, large number computation is replaced by computation over the small moduli without carry propagation between moduli. Moduli selection has an important role in the efficiency of modular multiplication. Theref...

Logical candidates for residue number system (RNS) implementations are applications which require very high data rates and are numerically intensive. The quadratic residue number system (QRNS) is specifically designed for fast complex arithmetic. In a previous paper by Dubois and Venetsanopoulos the use of Eisenstein complex numbers was proposed for the implementation of a radix-3 fast Fourier ...