Application of new Chinese remainder theorems to RNS with two pairs of conjugate moduli

The two most important considerations when designing RNS systems are the choices of the moduli sets and the conversion from the residue to the weighted binary system. In this paper, we unite the new progresses in both issues by applying a new general conversion algorithm, the New Chinese Remainder Theorem III, to the recently proposed conjugate moduli sets, which results in a more efficient design for the residue to binary conversion of-the given moduli sets. This more efficient design for the converter will make the conjugate moduli sets more attractive compared to other moduli sets. The result also demonstrates the effectiveness of the New Chinese Remainder Theorems.

[1]  Yuke Wang.  New Chinese remainder theorems , 1998, Conference Record of Thirty-Second Asilomar Conference on Signals, Systems and Computers (Cat. No.98CH36284).

[2]  Alexander Skavantzos,et al.  Implementation issues of the two-level residue number system with pairs of conjugate moduli , 1999, IEEE Trans. Signal Process..

[3]  A. Skavantzos,et al.  Novel residue arithmetic processors for high speed digital signal processing , 1998, Conference Record of Thirty-Second Asilomar Conference on Signals, Systems and Computers (Cat. No.98CH36284).

[4]  Michael A. Soderstrand,et al.  Residue number system arithmetic: modern applications in digital signal processing , 1986 .

[5]  Alexander Skavantzos,et al.  On the binary quadratic residue system with noncoprime moduli , 1997, IEEE Trans. Signal Process..