High-Speed VLSI Multiplication Algorithm with a Redundant Binary Addition Tree
IEEE Transactions on Computers
Algorithms for Scheduling Imprecise Computations
Computer - Special issue on real-time systems
Algorithms for scheduling imprecise computations with timing constraints
SIAM Journal on Computing
Real-time systems: implementation of industrial computerised process automation
Real-time systems: implementation of industrial computerised process automation
Fast multiplication: algorithms and implementation
Fast multiplication: algorithms and implementation
IEEE Transactions on Very Large Scale Integration (VLSI) Systems
Real-time and embedded systems
ACM Computing Surveys (CSUR)
Algorithms for Scheduling Real-Time Tasks with Input Error and End-to-End Deadlines
IEEE Transactions on Software Engineering
Division Algorithms and Implementations
IEEE Transactions on Computers
Computer arithmetic: algorithms and hardware designs
Computer arithmetic: algorithms and hardware designs
IEEE Transactions on Computers - Special issue on computer arithmetic
Improving Goldschmidt Division, Square Root, and Square Root Reciprocal
IEEE Transactions on Computers - Special issue on computer arithmetic
Numerical computing with IEEE floating point arithmetic
Numerical computing with IEEE floating point arithmetic
Hard Real-Time Computing Systems: Predictable Scheduling Algorithms and Applications
Hard Real-Time Computing Systems: Predictable Scheduling Algorithms and Applications
Advanced Computer Arithmetic Design
Advanced Computer Arithmetic Design
Hard Real-Time Systems
Fast Hardware-Based Algorithms for Elementary Function Computations Using Rectangular Multipliers
IEEE Transactions on Computers
High-Speed Double-Precision Computation of Reciprocal, Division, Square Root and Inverse Square Root
IEEE Transactions on Computers
Real-Time Systems - Panel Overview
COMPSAC '98 Proceedings of the 22nd International Computer Software and Applications Conference
Correctness Proofs Outline for Newton-Raphson Based Floating-Point Divide and Square Root Algorithms
ARITH '99 Proceedings of the 14th IEEE Symposium on Computer Arithmetic
Integrated scheduling of multimedia and hard real-time tasks
RTSS '96 Proceedings of the 17th IEEE Real-Time Systems Symposium
Applications and extensions of the imprecise-computation model
Applications and extensions of the imprecise-computation model
Real-Time Systems
The design and implementation of an operating system to support distributed multimedia applications
IEEE Journal on Selected Areas in Communications
Mathematical model of stored logic based computation
Mathematical and Computer Modelling: An International Journal
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In this paper we discuss the paradigm of real-time processing on the lower level of computing systems. An arithmetical unit based on this principle containing addition, multiplication, division and square root operations is described. The development of the computation operators model is based on the imprecise computation paradigm and defines the concept of the adjustable calculation of a function that manages delay and the precision of the results as an inherent and parameterized characteristic. The arithmetic function design is based on well-known algorithms and offers progressive improvement in the results. Advantages in the predictability of calculations are obtained by means of processing groups of k-bits atomically and by using look-up tables. We report an evaluation of the operations in path time, delay and computation error. Finally, we present an example of our real-time architecture working in a realistic context.