# Residue Number System

### Overflow Detection in Residue Number System, Moduli Set {2n-1,2n,2n+1}

... — Residue Number System (RNS) is a non-weighted number system for integer number arithmetic, which is based on the residues of a number to a certain set of numbers called ...

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### The Huffman’s Method of Secured Data Encoding and Error Correction using Residue Number System (RNS)

... Over the centuries, information security has become a major issue. Encryption and decryption of data has recently been widely investigated and developed because there is a demand for a stronger encryption and decryption ...

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### Redundant Residue Number System Based Multiple Error Detection and Correction Using Chinese Remainder Theorem (CRT)

... redundant residue number ...a residue arithmetic error correction scheme that was based on common factor using a moduli ...redundant residue number system, he also proposed a ...

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### ABOUT COMPLEX OPERATIONS IN NON-POSITIONAL RESIDUE NUMBER SYSTEM

... positional residue number system. Originality. The work offered the new effective approaches to solve the non- modular operations of the non-positional residue number system. It ...

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### A Preliminary FPGA Implementation and Analysis of Phataks Quotient-First Scaling Algorithm in the Reduced-Precision Residue Number System

... fast residue number system using approximate rational domain scaled precomputations, Part I RP-PR: Reduced precision partial reconstruction and its applica- tion to fast RNS base extensions and/or ...

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### Redundant Residue Number System Based Error Correction Codes

... If a residue number system is designed not only for the representation of data, but also for the protection of data, usually we design the RNS using so-called redundant moduli, in order [r] ...

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### Adaptive redundant residue number system coded multicarrier modulation

... the residue digits implies that as long as a suffi- ciently high number of residues is available, in order to unam- biguously represent the results of the computations, any erro- neous residue digit ...

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### Information encoding and decoding using Residue Number System for {22n 1, 22n, 22n+1} moduli sets

... The rest of the paper is structured as follows. Section 2 provides a brief background on residue number system and fault tolerance. In Section 3, the hardware realization of the proposed ...

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### Performance Enhancement of MIMO-OFDM Using Redundant Residue Number System

... The system Bit Error Rate (BER) and Peak-to-Average Power Ratio (PAPR) were measured through a MATLAB programs for different simulated channel conditions, including the effect of signal amplitude reduction and ...

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### MIMO OFDM PAPR Reduction by DHT Based Residue Number System

... a residue number system (RNS)-based OFDM parallel transmission ...smaller residue signals while utilizing the characteristic of RNS modular operation to effectively limit the output in each ...

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### An optimized two level discrete wavelet implementation using residue number system

... Using discrete wavelet transform (DWT) in high-speed signal processing applications imposes a high degree of caution to hardware resource availability, latency and power consumption. In this paper, we investigated the ...

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### Digital and parallel distributed arithmetic parallel-prefix adder residue number system for reverse converter

... The Residue Number System plays a significant role in the battery based and portable devices because of its low power features and its competitive ...The Residue number system ...

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### Implementation of Single Precision Floating Point Processor Using Residue Number System

... ABSTRACT: The use of floating point unit has lot of application in real time embedded systems. Algorithms like fast fourier transform (FFT) from the digital signal processing (DSP) domain often make extensive use of ...

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### Multi Layer Data Encryption using Residue Number System in DNA Sequence

... In this paper, we will merge between the usages of DNA sequences and Residue number system in encryption systems. The message which is coded will be secretly impeded inside the DNA sequence. This ...

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### DESIGN OF A QUINARY TO RESIDUE NUMBER SYSTEM CONVERTER USING MULTI-LEVELS OF CONVERSION

... to Residue Number System (RNS) converter over the Quinary moduli set {23, 24, 25} by using Multi levels of MVL to RNS ...the number of used logic elements (gates, ...

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### A Residue Number System Based Parallel Communication Scheme using Orthogonal Signaling: Part I System Outline

... the residue number system arithmetic, using both nonredundant and redun- dant moduli based orthogonal signaling schemes, over an additive white Gaussian noise (AWGN) ...novel system are ...

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### Performance improvement in FIR filter using Residue Number System with modulo adders and multipliers

... VLSI (Very Large Scale integration) architecture for FIR filters which aims at reducing the power consumption, increasing the speed and also to reduce the hardware complexity using Residue Number ...

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### High Efficient Sign detector for Residue Number System

... Residue number system (RNS) is gaining enhancing popularity in the VLSI implementation of application- specific digital signal processors ...complement number system ...from ...

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### Systematic redundant residue number system codes: analytical upper bound and iterative decoding performance over AWGN and Rayleigh channels

... so-called residue number system (RNS) arithmetic has attracted considerable attention for supporting fast arithmetic operations ...a number of redundant moduli, the so-called redundant RNS ...

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### An overview of Residue Number System

... Residue Number System (RNS) is an integer number system with the competency to support parallel, carry-free addition, borrow-free subtraction and single step multiplication without ...

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