论文信息 - New power-of-2 RNS scaling scheme for cell-based IC design

New power-of-2 RNS scaling scheme for cell-based IC design

Previous scaling schemes are based on the conversion of the unpositional residue number system (RNS) digits into a positional number system via Chinese remainder theorem (CRT) or mixed-radix-conversion (MRC) and the back conversion into RNS with an associated size and speed penalty in cell-based integrated circuit (CBIC) designs. This paper presents a new scaling approach, which allows faster and more efficient schemes, because the scaling uses only RNS operations within the small word length channels.

Thanos Stouraitis | Uwe Meyer-Bäse | T. Stouraitis | U. Meyer-Bäse

[1] Fred J. Taylor,et al. Implementation of a Communications Channelizer using FPGAs and RNS Arithmetic , 2001, J. VLSI Signal Process..

[2] Wayne Wolf,et al. Modern VLSI Design , 1994 .

[3] Fred J. Taylor,et al. A Fast Modified CORDIC—Implementation of Radial Basis Neural Networks , 1998, J. VLSI Signal Process..

[4] Andreas Curiger. VLSI architectures for computations in finite rings and fields , 1993 .

[5] Graham A. Jullien,et al. Residue Number Scaling and Other Operations Using ROM Arrays , 1978, IEEE Transactions on Computers.

[6] Fred J. Taylor,et al. Efficient scaling in the residue number system , 1989, International Conference on Acoustics, Speech, and Signal Processing,.

[7] Vassilis Paliouras,et al. Multifunction architectures for RNS processors , 1999 .

[8] Israel Koren. Computer arithmetic algorithms , 1993 .

[9] Graham A. Jullien,et al. A VLSI implementation of residue adders , 1987 .

[10] Antonio García,et al. A Look-Up Scheme for Scaling in the RNS , 1999, IEEE Trans. Computers.

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

[12] Richard I. Tanaka,et al. Residue arithmetic and its applications to computer technology , 1967 .

[13] James Gonnella. The application of core functions to residue number systems , 1991, IEEE Trans. Signal Process..