Residue number system arithmetic: modern applications in digital signal processing
Residue number system arithmetic: modern applications in digital signal processing
Low-power digital systems based on adiabatic-switching principles
IEEE Transactions on Very Large Scale Integration (VLSI) Systems - Special issue on low-power design
Arithmetic with Signed Analog Digits
ARITH '99 Proceedings of the 14th IEEE Symposium on Computer Arithmetic
Arithmetic Circuits for Analog Digits
ISMVL '99 Proceedings of the Twenty Ninth IEEE International Symposium on Multiple-Valued Logic
Low-power mixed-signal CVNS-based 64-bit adder for media signal processing
IEEE Transactions on Very Large Scale Integration (VLSI) Systems
Low power logic for statistical inference
Proceedings of the 16th ACM/IEEE international symposium on Low power electronics and design
Digital/analog arithmetic with continuous-valued residues
Asilomar'09 Proceedings of the 43rd Asilomar conference on Signals, systems and computers
Resistive-type CVNS distributed neural networks with improved noise-to-signal ratio
IEEE Transactions on Circuits and Systems II: Express Briefs
| Hi-index | 14.98 |
This paper presents a novel number system based on signed continuous valued digits. Arithmetic operations in this number system are performed using simple analog circuitry, in contrast to the conventional implementation of arithmetic units by Boolean or multiple-valued logic circuits. Unlike the limited precision offered by classical analog arithmetic circuits, the ensemble of continuous valued digits that comprises a number in this system provides arbitrary implementation precision with standard analog circuitry. The number system also provides almost-carry-free arithmetic structures with digit level redundancy. In this paper, we introduce the mathematical foundations for positive and negative numbers, addition, multiplication, redundancy, radix conversions, and also the digit value integrity for circuit implementations. Potential applications are in the area of low noise and low cross-talk circuitry for arithmetic circuits used in mixed-signal systems.