Residue number system arithmetic: modern applications in digital signal processing
Residue number system arithmetic: modern applications in digital signal processing
Error Analysis of Approximate Chinese-Remainder-Theorem Decoding
IEEE Transactions on Computers
A Number System with Continuous Valued Digits and Modulo Arithmetic
IEEE Transactions on Computers
Arithmetic with Signed Analog Digits
ARITH '99 Proceedings of the 14th IEEE Symposium on Computer Arithmetic
Error Correcting Properties of Redundant Residue Number Systems
IEEE Transactions on Computers
Low-power mixed-signal CVNS-based 64-bit adder for media signal processing
IEEE Transactions on Very Large Scale Integration (VLSI) Systems
Residue Number Systems: Theory and Implementation
Residue Number Systems: Theory and Implementation
Computer Arithmetic: Algorithms and Hardware Designs
Computer Arithmetic: Algorithms and Hardware Designs
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Residue number system (RNS) representations, which allow fast addition and multiplication, have found niche applications in signal processing. These representations are based on integer-valued residue "digits" with respect to integer moduli. We introduce RNS representations with continuous or analog digits, and study their dynamic range, accuracy, and optimal choice of the moduli. Like positional number systems with continuous digits, our representations offer advantages in robustness and fault tolerance. As an interesting application, we point to recent findings in computational neuroscience that attribute a rat's uncanny ability to return to a home position, even in the absence of visual clues, to a related hex-grid-based residue representation of its position.