Proceedings ArticleDOI
A unified algorithm for elementary functions
J. S. Walther
- pp 379-385
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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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CORDIC-based VLSI architectures for digital signal processing
TL;DR: In this paper, the evolution of CORDIC, an iterative arithmetic computing algorithm capable of evaluating various elementary functions using a unified shift-and-add approach, is reviewed.
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Recursive least squares ladder estimation algorithms
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Pipeline and Parallel-Pipeline FFT Processors for VLSI Implementations
TL;DR: VLSI implementations have constraints which differ from those of discrete implementations, requiring another look at some of the typical FFT'algorithms in the light of these constraints.
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Fourier Transform Computers Using CORDIC Iterations
TL;DR: The CORDIC iteration is applied to several Fourier transform algorithms and a new, especially attractive FFT computer architecture is presented as an example of the utility of this technique.
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An improved lattice-based adaptive IIR notch filter
TL;DR: A novel lattice-based adaptive infinite impulse response (IIR) notch filter is developed which features independent tuning of the notch frequency and attenuation bandwidth, and the estimation of extremal frequencies is less prone to overflow instability than previously reported structures.
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.