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Engineering Commons

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Electrical and Computer Engineering

Louisiana State University

Theses/Dissertations

2012

Five Moduli Sets

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Full-Text Articles in Engineering

Design Of Reverse Converters For The Multi-Moduli Residue Number Systems With Moduli Of Forms 2a, 2b - 1, 2c + 1, Naveen Kumar Samala Jan 2012

Design Of Reverse Converters For The Multi-Moduli Residue Number Systems With Moduli Of Forms 2a, 2b - 1, 2c + 1, Naveen Kumar Samala

LSU Master's Theses

Residue number system (RNS) is a non-weighted integer number representation system that is capable of supporting parallel, carry-free and high speed arithmetic. This system is error-resilient and facilitates error detection, error correction and fault tolerance in digital systems. It finds applications in Digital Signal Processing (DSP) intensive computations like digital filtering, convolution, correlation, Discrete Fourier Transform, Fast Fourier Transform, etc. The basis for an RNS system is a moduli set consisting of relatively prime integers. Proper selection of this moduli set plays a significant role in RNS design because the speed of internal RNS arithmetic circuits as well as the …