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Discrete convolution based on polynomial residue representation

Smyk R.

Poznan University of Technology Academic Journals. Electrical Engineering

2010

No. 63

167-173

This paper presents the study of fast discrete convolution calculation with use of the Polynomial Residue Number System (PRNS). Convolution can be based the algorithm similar to polynomial multiplication. The residue arithmetic allows for fast realization of multiplication and addition, which are the most important arithmetic operations in the implementation of convolution. The practical aspects of hardware realization of PRNS convolution in Xilinx FPGA are also presented.