Proceedings ArticleDOI
A unified algorithm for elementary functions
J. S. Walther
- pp 379-385
TLDR
This paper describes a single unified algorithm for the calculation of elementary functions including multiplication, division, sin, cos, tan, arctan, sinh, cosh, tanh, arCTanh, In, exp and square-root.Abstract:
This paper describes a single unified algorithm for the calculation of elementary functions including multiplication, division, sin, cos, tan, arctan, sinh, cosh, tanh, arctanh, In, exp and square-root The basis for the algorithm is coordinate rotation in a linear, circular, or hyperbolic coordinate system depending on which function is to be calculated The only operations required are shifting, adding, subtracting and the recall of prestored constants The limited domain of convergence of the algorithm is calculated, leading to a discussion of the modifications required to extend the domain for floating point calculationsread more
Citations
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Stable and Efficient Lattice Algorithms for Adaptive
TL;DR: Two new lattice-based algorithms are proposed for adaptive IIR filtering and system identification, both of O(N) complexity, which are as computationally efficient as existing direct- form based algorithms, while overcoming the stability problems associated with time-varying direct-form filters.
Proceedings ArticleDOI
Architectural design styles in the VLSI implementation of real discrete Fourier transform
S. Naganathan,Yu Hen Hu +1 more
TL;DR: Two approaches for the VLSI implementation of FRFT are presented, based on an elegant implementation using a CORDIC (coordinate rotation digital computer) processor and a distributed arithmetic scheme which reorders the rotation as a sum of products and has the advantage of efficient mechanization.
Proceedings ArticleDOI
Serial and parallel implementation of CORDIC architecture: A comparative approach
TL;DR: The paper compares the serial and parallel implementations of CORDIC architecture with respect to their speed and device utilization.
Proceedings ArticleDOI
Block sequential CORDIC architectures
TL;DR: In this paper, the block data format is used to cover the whole range from bit-serial to bit-parallel processing and thus offers more flexibility in the decision process in the design of VLSI circuits for parallel algorithms.
Proceedings ArticleDOI
An 80 b, 6.7 MFLOPS floating-point processor with vector/matrix instructions
TL;DR: A description is given of an 80-b CMOS VLSI floating-point processor (FPP) in 1.2- mu m double-metal layer CMOS which contains 433000 transistors on an 11.6-mm*14.9-mm die.
References
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Journal ArticleDOI
The CORDIC Trigonometric Computing Technique
TL;DR: The trigonometric algorithms used in this computer and the instrumentation of these algorithms are discussed in this paper.
Journal ArticleDOI
Decimal-Binary Conversions in CORDIC
TL;DR: The CORDIC conversion technique is sufficiently general to be applied to decimal-binary conversion problems involving other mixed radix systems and other decimal codes.