A Novel FPGA Design of Modified Residue to Binary Converter for the Unrestricted Moduli set

Provided by: Creative Commons
Topic: Hardware
Format: PDF
In this paper the authors propose a novel modified reverse converter for the unrestricted moduli set. This uses to investigate the Residue Number System (RNS) to decimal equivalent binary conversion for the utilization of RNS numbers in Digital Signal Processing (DSP) applications. First, the authors simplify the Chinese remainder theorem in order to obtain a reverse converter that uses mod-(2n-1) operations. Next, they further analyze the theorem for the low complexity implementation that does not require the explicit use of modulo operation in the conversion process and they prove that theoretically speaking it outperforms state of the art equivalent converters.

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