Folding waveform based number systems for signal processing in communications

• Main Author: Pham, Duc Minh.
• Other Authors: Annamalai Benjamin Premkumar
• Format: Theses and Dissertations
• Language: English
• Published: 2013
• Subjects: DRNTU::Engineering::Computer science and engineering
• Online Access: http://hdl.handle.net/10356/53758
• Institution: Nanyang Technological University

Number systems have been used in many Digital Signal Processing (DSP) algorithms. The Residue Number System (RNS) has been established as an important tool in parallel processing applications and high speed computations. It provides a fundamental methodology for partitioning a large dynamic range system into a number of smaller but independent channels over which computations may be performed in parallel. RNS has been considered in implementation of high speed DSP algorithms because of its inherited parallelism, modularity, fault tolerance as well as localized carry propagation properties. Besides RNS, other number systems called Symmetrical Number Systems (SNSs) have been developed for the analog to digital signal conversion preprocessing and other applications. While the RNS framework is based on a saw tooth folding waveform that rises gradually and falls quickly and the residues follow accordingly, SNSs are based on symmetrically folding waveforms.