Efficient residue-to-binary conversion technique with rounding error compensation

Jy Kim, Kyu Ho Park, Hwang Soo Lee · IEEE Transactions on Circuits and Systems · 1991

An improved scaled-decoding technique (defined as residue-to-binary conversion of which outputs are scaled by a constant) for hardware implementations in the residue number system (RNS) is presented. The technique is based on the Chinese remainder theorem and is equipped with a rounding error compensation circuit that can reduce the maximum scaling error below 0.5 least-significant-bit (LSB) for general four-moduli RNS, and down to about 0.53 LSB for general six-moduli RNS with a moderate amount of additional hardware.>

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